The shortest distance between the chord and the center of the circle will be 4.63 cm.
Given that:
Diameter, d = 15 cm
Chord length, L = 11.8 cm
The Pythagoras theorem formula is given as,
H² = P² + B²
The shortest distance between the chord and the center of the circle is calculated as,
(15/2)² = P² + (11.8/2)²
P = 4.63 cm
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ1
a box contains 19 yellow, 31 green and 32 red jelly beans. if 9 jelly beans are selected at random, what is the probability that: a) exactly 3 are yellow?
The probability that exactly 3 jellies selected are yellow is 0.2149.
Given that the box contains 19 yellow, 31 green, and 32 red jelly beans. Therefore, the probability of getting a yellow jelly bean is,
Probability of Yellow jelly beans
= Number of Yellow jelly beans / Total number of jelly beans in the box
= 19 / (19 + 31 + 32)
= 19 / 82
= 0.2317
Now, as per the binomial probability distribution:
P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
Therefore, the probability of getting exactly 3 yellow jelly beans is:
P(x=3) = ⁹C₃ (0.2317³) (1-0.2317)⁽⁹⁻³⁾
= 84 × 0.012438 × 0.205676
= 0.2149
Hence, the probability is 0.2149.
Learn more about Binomial Distribution:
https://brainly.com/question/14565246
#SPJ1
Suppose that we want to prove that 1/2 · 3/4 ··· 2n-1/2n < 1/√3n for all positive integers n. a) Show that if we try to prove this inequality using mathematical induction, the basis step works, but the inductive step fails. b) Show that mathematical induction can be used to prove the stronger inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√3n+1 for all integers greater than 1, which, together with a verification for the case where n = 1, establishes the weaker inequality we originally tried to prove using mathematical induction.
The weaker inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n) holds for all positive integers n, but using mathematical induction, the basis step works, although the inductive step fails.
a) If we try to prove the inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n) using mathematical induction, we can see that the basis step works. When n = 1, we have 1/2 < 1/√3, which is true.
Now, let's consider the inductive step. Assuming that the inequality holds for some positive integer k, we need to show that it also holds for k+1, i.e., we assume 1/2 · 3/4 ··· 2k-1/2k < 1/√(3k) and we want to prove 1/2 · 3/4 ··· 2k-1/2k · (2k+1)/(2k+2) < 1/√(3k+3).
If we attempt to manipulate the expression, we can simplify it to (2k+1)/(2k+2) < 1/√(3k+3). However, we cannot proceed further to prove this inequality, as it is not necessarily true. Therefore, the inductive step fails, and we cannot establish the original inequality using mathematical induction.
b) However, mathematical induction can still be used to prove the stronger inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n+1) for all integers greater than 1. We can start by verifying the case where n = 1, which gives us 1/2 < 1/√4, which is true.
Now, assuming the inequality holds for some integer k, we can multiply both sides of the inequality by (2k+3)/(2k+2) to get:
(1/2 · 3/4 ··· 2k-1/2k) · (2k+3)/(2k+2) < 1/√(3k+1) · (2k+3)/(2k+2).
Simplifying the expression on both sides, we have:
(2k+3)/(2k+2) < 1/√(3k+1) · (2k+3)/(2k+2).
We can observe that the right side of the inequality is less than 1/√(3k+3) by multiplying the denominator of the right side by (2k+3)/(2k+3). Hence, we obtain:
(2k+3)/(2k+2) < 1/√(3k+3).
This establishes the inequality for k+1, and thus, we have proven the stronger inequality using mathematical induction.
By verifying the case where n = 1 separately, we can conclude that the weaker inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n) holds for all positive integers n, as it follows from the proven stronger inequality using mathematical induction.
Learn more about mathematical induction here:
https://brainly.com/question/29503103
#SPJ11
Melissa is visiting Yellowstone National Park for the first time. At the shop near Old Faithful, she buys 5 postcards for $0.65 each. At the shop in the Norris Geyser Basin, postcards also cost $0.65. Melissa buys another 4 postcards there. How much money does Melissa spend on postcards?
The total amount Melissa spent on postcard is 5.85 dollars.
How to find the amount spent on card?Melissa is visiting Yellowstone National Park for the first time. At the shop near Old Faithful, she buys 5 postcards for $0.65 each. At the shop in the Norris Geyser Basin, postcards also cost $0.65. Melissa buys another 4 postcards there.
Therefore, the amount Melissa spent on the postcards can be calculated as follows:
Hence,
total amount spent on post card = 0.65(5) + 0.65(4)
total amount spent on post card = 3.25 + 2.6
total amount spent on post card = 5.85 dollars
learn more on cost here: https://brainly.com/question/13817707
#SPJ1
correlational studies are not well-suited for answering _________ research questions.
Correlational studies are not well-suited for answering causal research questions.
Correlational studies examine the relationship between variables and measure the degree to which they are associated or related to each other.
However, they do not establish cause-and-effect relationships between variables. This means that correlational studies cannot determine which variable is causing changes in the other or if there is a third variable influencing both variables.
Causal research questions aim to understand the cause-and-effect relationships between variables, determining whether changes in one variable directly lead to changes in another variable.
Answering causal research questions requires experimental designs or other methods that allow for manipulation of variables and control over potential confounding factors.
While correlational studies are valuable for identifying relationships and patterns between variables, they cannot determine causality.
Therefore, research questions that specifically seek to establish cause-and-effect relationships are better addressed through experimental designs or other research methods that allow for greater control and manipulation of variables.
To know more about correlational studies refer here:
https://brainly.com/question/17438815#
#SPJ11
Find the volume. Round to the hundredths when necessary.
Volume:
9 in
14 in
Volume in ³
The calculated volume of the cylinder is 891 cubic inches
How to determine the volume of a cylinderFrom the question, we have the following parameters that can be used in our computation:
Diameter = 9 in
Height = 14 in
Using the above as a guide, we have the following:
r = 9/2 = 4.5
h = 14
So, we have
V = πr²h
Substitute the known values in the above equation, so, we have the following representation
V = 22/7 * (9/2)² * 14
Evaluate
V = 891
Hence, the volume is 891 cubic inches
Read more about volume at
brainly.com/question/1972490
#SPJ1
Question
For the following cylinder, find the volume. Round to the hundredths when necessary.
Diameter = 9 in
Height = 14 in
Volume = ___ in ³
cartons of humidifiers are stocked in 25,500 sq. ft. of warehouse space at home depot. if each carton requires 4 14 sq. ft. of space, how many cartons can be stored in this space?
6000 cartons of 4 1/4 square ft. can be stored in this warehouse, area of 25500 square ft.
We know that a mixed fraction can be transformed into improper fraction in this way,
a b/c = (a * c + b)/c
Total space in warehouse is 25500 square ft.
One carton has a space of 4 1/4 square ft. that is = 4 1/4 = (4 * 4 + 1)/4 = 17/4 = 4.25 square ft.
So the number of cartons can be stored in the warehouse space is given by
= (Area of the warehouse space)/(Area of One carton)
= 25500/4.25
= 6000
Hence 6000 cartons can be stored in this space.
To know more about fraction here
https://brainly.com/question/30404460
#SPJ4
What is x in the simplest form?
Answer:
[tex]x=6[/tex]
how many combinations from 4 entrees, 6 vegetables, and 6 deserts if you can pick only 1 entree,2 vegetables, and 1 desert
There are 144 combinations of 1 entree, 2 vegetables, and 1 dessert that can be selected from 4 entrees, 6 vegetables, and 6 desserts.
To determine the number of combinations, we multiply the number of options for each category.
For the entree, we have 4 options to choose from.
For the vegetables, we need to select 2 out of 6, which can be done in 6 choose 2 ways.
This is calculated as 6! / (2!(6-2)!), which simplifies to
6! / (2!4!)
Similarly, for the dessert, we have 6 options to choose from.
To calculate 6 choose 2, we can use the formula for combinations:
n choose r = n! / (r!(n-r)!).
Plugging in the values, we have
6! / (2!4!) = (6 × 5 × 4 × 3 × 2 × 1) / [(2 × 1) × (4 × 3 × 2 × 1)] = 15.
Therefore, we have 4 options for the entree, 15 options for the vegetables, and 6 options for the dessert.
Multiplying these numbers together, we get 4 × 15 × 6 = 144.
Therefore, there are 144 possible combinations of 1 entree, 2 vegetables, and 1 dessert, given the options of 4 entrees, 6 vegetables, and 6 desserts.
Learn more about combinations here:
https://brainly.com/question/28065038
#SPJ11
Find the probability of the compound event as a reduced fraction.
From a standard deck of cards, draw a card, replace it, and then draw another card. P (king, king)
P= probability
Answer Choices:
A. 1/169
B. 1/91
C. 1/221
D. 25/338
Explanation:
There are 4 kings out of 52 cards total.
4/52 = 1/13 is the probability of selecting a king at random.
Using replacement, (1/13)*(1/13) = 1/169 is the probability of selecting two kings.
After a large passenger plane takes off, it climbs at a constant angle of elevation. It travels
29 miles through the air until it reaches a cruising altitude of 7 miles above the ground and
then levels off. What is the airplane's angle of elevation, in degrees, while climbing to cruising
altitude?
Round your answer to the nearest degree.
The angle of elevation of the plane, obtained from the arcsine of the ratio of the altitude to the distance traveled by the plane is about 14°
The angle of elevation is the angle between the line of flight of the plane as it climbs up through the air, and the horizontal line from the point the plane starts ascending.
The distance the plane travels through the air = 29 miles
The height reached before the plane levels = 7 miles
The path of the distance the plane travels through the air is the hypotenuse side, l, of a right triangle
The altitude reached by the plane is the height, h, which is side of the right angle triangle formed by the plane facing the angle of elevation
Let θ represent the angle of elevation, The trigonometric ratios indicates that we get;
sin(θ) = h/l
Therefore; sin(θ) = 7/29
θ = arcsin(7/29) ≈ 14°
The angle of elevation of the plane is about 14°
Learn more on angle of elevation here: https://brainly.com/question/9817377
#SPJ1
The area of 5.2 4ft and 3.6ft
Step-by-step explanation:
Area of a triangle = 1/2 base * height
for this triangle area = 1/ ( 3.6 ft ) * ( 4 ft ) = 7.2 ft^2
find the exact value of cos-1 (sqrt 3/2)
The exact value of cos^-1( √3/2) = 30°
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°
sin30 = 1/2
cos 30 = √3/2
tan 30 = 1/√3
cos 60 = 1/2
sin 60 = √3/2
tan 60 = √3
Therefore, if cos^-1( √3/2) = x
cos x = √3/2
cos 30 = √3/2
cos x = cos 30
therefore x = 30
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
if I subtract 5 from three times a number
Answer:
Step-by-step explanation:
If you subtract 5 from three times a number, it can be expressed as:
3x - 5,
where "x" represents the number.
f(x) = 9^2 + 5x + 4
g(x) = -8x^2 -3x - 4
find (f+g)(x)
To find $(f+g)(x)$, we need to add the functions $f(x)$ and $g(x)$ together.
Given:
$$f(x) = 9^2 + 5x + 4$$
$$g(x) = -8x^2 - 3x - 4$$
To calculate $(f+g)(x)$, we add the corresponding terms of $f(x)$ and $g(x)$ together.
$$(f+g)(x) = f(x) + g(x) = (9^2 + 5x + 4) + (-8x^2 - 3x - 4)$$
Simplifying the expression further:
$$(f+g)(x) = 81 + 5x + 4 - 8x^2 - 3x - 4$$
Combining like terms:
$$(f+g)(x) = -8x^2 + 2x + 81$$
Therefore, $$(f+g)(x) = -8x^2 + 2x + 81$$.[tex][/tex]
evaluate the integral x(x − 3)^7/2 dx by making the substitution u = x − 3. after substituting we have: (in terms of u, du and c). ∫ ____ = ___ (BEFORE RESUBSTITUTION). After resubstitution we have: (in terms of x and C) . ∫ x(x − 3)^7/2 dx = ____.
Answer: 182
Step-by-step explanation:
7 × .5x- 3= 5 please help
The solution of mathematical expression 7 × 0.5x - 3 = 5 is,
⇒ x = 2.28
We have to given that;
Mathematical Expression is,
⇒ 7 × 0.5x - 3 = 5
Now, WE can simplify as;
⇒ 7 × 0.5x - 3 = 5
⇒ 3.5x - 3 = 5
⇒ 3.5x = 3 + 5
⇒ 3.5x = 8
⇒ x = 8/3.5
⇒ x = 2.28
Thus, The solution of expression 7 × 0.5x - 3 = 5 is,
⇒ x = 2.28
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Use polar coordinates to find the volume of the given solid.
Below the paraboloid z = 50 − 2x² − 2y² and above the xy-plane
To find the volume of the solid bounded by the paraboloid z = 50 − 2x² − 2y² and the xy-plane, we can use polar coordinates.
In polar coordinates, we represent points in a plane using a radial distance (r) from the origin and an angle (θ) measured counterclockwise from the positive x-axis. To use polar coordinates, we need to express the equation of the paraboloid in terms of r and θ.
Converting the equation to polar coordinates, we substitute x = r cos(θ) and y = r sin(θ). The equation of the paraboloid becomes z = 50 - 2(r cos(θ))² - 2(r sin(θ))², which simplifies to z = 50 - 2r²(cos²(θ) + sin²(θ)). Further simplifying, we get z = 50 - 2r².
Now, we can determine the limits for the variables r and θ. Since we want to find the volume below the paraboloid and above the xy-plane, the z-coordinate ranges from 0 to 50 - 2r². The radial distance r varies from 0 to some value that defines the boundary of the solid.
To calculate the volume, we integrate the expression 50 - 2r² with respect to r and θ over their respective ranges. After performing the integration, we obtain the volume of the given solid using polar coordinates.
Learn more about angle here: https://brainly.com/question/31818999
#SPJ11
Subtract -8x^2- 9 from -5x² + 5x.
Answer: 3x²+5x+9
Step-by-step explanation:
Order matters:
Ex. Subtract 5 from 9 that s: 9-5 even though they said 5 first
(-5x²+5x)-(-8x²-9) >Distribut - and drop first parenthesis
-5x ²+ 5x + 8x² + 9 >combine like terms
3x²+5x+9
Bartlett’s test is often run in conjunction with ANOVA to test for
(a) equal variances among treatment groups
(b) equally-spaced treatment effects
(c) normally distributed errors
(d) statistically significant treatment effects
Bartlett's test is often run in conjunction with ANOVA to test for equal variances among treatment groups. The correct answer is option (a).
In ANOVA (Analysis of Variance), we compare the means of multiple groups to determine if there are statistically significant differences among them. However, it is important to also assess the assumption of equal variances across those groups. Bartlett's test is a statistical test used to examine the equality of variances among treatment groups.
The test assesses whether the observed variances of the groups significantly differ from each other. If the p-value from Bartlett's test is greater than the chosen significance level (usually 0.05), it suggests that the variances are not significantly different, supporting the assumption of equal variances among treatment groups. On the other hand, if the p-value is below the significance level, it indicates unequal variances, which may impact the validity of the ANOVA results.
Therefore, the correct answer is (a) equal variances among treatment groups. Bartlett's test helps to determine if the assumption of equal variances in ANOVA is met or violated.
Learn more about ANOVA test:
https://brainly.com/question/32207273
#SPJ11
find the measure of each angle indicated.
The indicated angle in the triangle is 60 degrees.
How to find the measure of angles in a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle. Therefore, the exterior angle theorem can be used to find the indicated angle in the triangle as follows:
let
x = indicated angle
Therefore,
x + 70 = 130
subtract 70 from both sides of the equation
x + 70 = 130
x + 70 - 70 = 130 - 70
x = 60 degrees
learn more on angles here: https://brainly.com/question/14232455
#SPJ1
Solve for y, 3+3y=1-13y
Answer:
y = -1/8
Step-by-step explanation:
3 + 3y = 1 -13y
add 13y to both sides:
3 +3y + 13y = 1
subtract 3 from both sides:
3y + 13y = 1 - 3
16y = -2
divide both sides by 16:
y = -2/16
simplify:
y = -1/8
This is 9th-grade math
Answer:
$2871
Step-by-step explanation:
You want the value of an investment of $1900 after 12 years if it earns 3.5% interest compounded annually.
Compound interestThe value of the account is multiplied by (1+r) each year, so after 12 years it will be ...
A = P(1 +r)^t
A = 1900(1 +0.035)^12 ≈ 2871
The investment will be worth $2871 after 12 years.
<95141404393>
if two events are mutually exclusive what is the probability that both occur at the same time
Answer:
zero
Step-by-step explanation:
In other words, mutually exclusive events are called disjoint events. If two events are considered disjoint events, then the probability of both events occurring at the same time will be zero.
If x = 3, solve for y.
y = 10.5x
Y = [?]
Answer: 31.5
Step-by-step explanation:
x=3
y=10.5x
y=10.5(3)
y=31.5
Answer:
y = 31.5
Step-by-step explanation:
Plug in 3 for x.
[tex]\bf{y=10.5x}[/tex]
Simplify
[tex]\bf{y=10.5\times3}[/tex]
[tex]\bf{y=31.5}[/tex]
Hence, y = 31.5
Given that A is the matrix A 2 -5 3 L-2-8 4 find the determinant of A by first finding its echelon matrix U and taking into account any row exchanges: 0 0 and therefore det(A)-
The determinant of the given matrix is 8.
What is determinant of Matrix?
The determinant in mathematics is a scalar quantity that is a function of the rows and columns of a square matrix. It describes some aspects of the matrix and the linear map that the matrix represents.
As given matrix is,
[tex]A=\left[\begin{array}{ccc}0&-1&-1\\-2&-5&3\\-2&-8&4\end{array}\right][/tex]
Apply operations,
R₂ ↔ R₁
[tex]A=\left[\begin{array}{ccc}-2&-5&3\\0&-1&-1\\-2&-8&4\end{array}\right][/tex]
R₃ ↔ R₃ -R₁
[tex]A=\left[\begin{array}{ccc}-2&-5&3\\0&-1&-1\\0&-3&1\end{array}\right][/tex]
R₃ ↔ R₃ -2R₂
[tex]A=\left[\begin{array}{ccc}-2&-5&3\\0&-1&-1\\0&0&4\end{array}\right][/tex]
No of non-zeros rows are 3.
Rank of Matrix is 3.
Then evaluate the determinant of matrix A,
= -2(-4 + 0) - 0 + 0
= 8.
Hence, the determinant of the given matrix is 8.
To learn more about Rank of Matrix from the given link.
https://brainly.com/question/31397722
#SPJ4
HELP FIND SURFACE AREA OF PYRAMID
Answer:
Figure 1: 623.2 in²
Figure 2: 679.8 in²
Step-by-step explanation:
For a pyramid total surface area
= Base Area + Lateral Surface Area
Figure 1 is a triangular prism
It's base is an equilateral triangle with side = 20 in
Area of an equilateral triangle = [tex]\dfrac{\sqrt{3}}{4} a^2[/tex] where [tex]a[/tex] is the length of the base
So in figure 1, base area = area of equilateral triangle with side a = 20 in
[tex]\text{Base Area =} \dfrac{\sqrt{3}}{4} \cdot 20^2 \approx 173.2 \;in^2[/tex]
Each lateral side is an isosceles triangle with base = 20 and height = 15
Area of each triangle
[tex]= \dfrac{1}{2} \cdot base \cdot height[/tex]
[tex]= \dfrac{1}{2} \cdot 20 \cdot 15 \\\\= 150 \; in^2[/tex]
There are three such lateral sides so total lateral area = 150 x 3 = 450 in²
Total surface area = 173.21 + 450 = 623.2 in²
Figure 2
This is a regular hexagonal pyramid
The base is a regular hexagon of side 10
Base area = Area of hexagon of side 10
Area of a regular hexagon with side a
[tex]= \dfrac{3\sqrt{3}}{4} a^2[/tex]
Base area of Figure 2
[tex]= \dfrac{3\sqrt{3}}{4} 10^2\\\\\approx 259.8 \;in^2[/tex]
The lateral surface consists of 6 isosceles triangles each with a base = 10 in and height = 14 in
Area of each isosceles triangle
[tex]= \dfrac{1}{2} \cdot 10 \cdot 14 \\\\= 70 \;in^2[/tex]
Since there are 6 such lateral triangles, total lateral surface area
= 70 x 6 = 420 in²
So total surface area = base area + total lateral surface area
= 259.8 + 420 = 679.8 in²
given с = 53°, a = 13.45, and с = 12, use the law of sines to solve the triangle (if possible) for the value of b. if two solutions exist, find both. round your answer to two decimal places.
Therefore, the value of b is approximately 1.99 using the law of sines.
To solve the triangle using the law of sines, we can use the given values of angle C, side a, and angle B (which is also denoted as angle C in the given information).
The law of sines states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant. Therefore, we can set up the following equation:
sin(A) / a = sin(B) / b
Plugging in the given values, we have:
sin(53°) / 13.45 = sin(12°) / b
Now, we can solve for the value of b.
b = (13.45 * sin(12°)) / sin(53°)
Using a calculator, we can evaluate this expression to find the value of b.
b ≈ 1.99 (rounded to two decimal places)
To know more about law of sines,
https://brainly.com/question/29020631
#SPJ11
The graph of a sinusoidal function has a minimum point at (0, 3) and then intersects the midline at (π, 5). Show a graph of the function, then write the formula of the function where x is entered in radians.
y= sin(x) + 4 is the formula of the function where x is entered in radians.
To determine the equation of the sinusoidal function based on the given information, we can start by finding the amplitude, period, and phase shift.
Amplitude:
The distance between the midline and the minimum point is the amplitude.
The minimum point is (0, 3), and the midline is at y = 4. So the amplitude is |3 - 4| = 1.
The period is the distance it takes for the sinusoidal function to complete one full cycle.
Therefore, the period is 2π.
Phase shift is the horizontal shift of the graph.
The minimum point is at (0, 3), which means there is no phase shift.
y = Asin(Bx - C) + D
where:
A represents the amplitude,
B represents the frequency (2π divided by the period),
C represents the phase shift,
D represents the vertical shift (the midline value)
y = sin((2π/2π)x - 0) + 4
= sin(x) + 4
Hence, y= sin(x) + 4 is the formula of the function where x is entered in radians.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ1
a punch recipe calls for 3 parts orange juice to 2 parts pineapple juice. complete the table to show the relationship between the amounts of orange juice and pineapple juice in the punch recipe.
Answer:
The answer would be six for the first one. Second one would be 18. Third one would be 24. Fourth one would be 45.
Now the reason I got these as the answer is because I thought about it in a multiplication/division problem because for me it makes it easier.
show that the following functions are of exponential order
• f(t) = t^3 sin(t)
• g(t) = t^2 e^t
To show that a function f(t) is of exponential order, we need to find positive constants M and α such that |f(t)| ≤ Me^(αt) for all t ≥ t0, where t0 is some fixed point.
For f(t) = t^3 sin(t), we can use the fact that |sin(t)| ≤ 1 to obtain: |f(t)| = |t^3 sin(t)| ≤ t^3
Now, let's choose M = 1 and α = 1/3. Then, for t ≥ 0, we have: |f(t)| ≤ t^3 ≤ e^(1/3t)
Therefore, f(t) is of exponential order with M = 1 and α = 1/3. For g(t) = t^2 e^t, we can use the fact that e^t grows faster than any power of t to obtain: |g(t)| = |t^2 e^t| ≤ t^2 e^t ≤ e^(2t)
Now, let's choose M = 1 and α = 1. Then, for t ≥ 0, we have: |g(t)| ≤ e^(2t)
Therefore, g(t) is of exponential order with M = 1 and α = 1. In conclusion, both f(t) = t^3 sin(t) and g(t) = t^2 e^t are of exponential order since they satisfy the conditions for exponential order.
To know more about function visit:-
https://brainly.com/question/28278699
#SPJ11
