Answer:
Step-by-step explanation:
From the given information:
The domain D of integration in polar coordinates can be represented by:
D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;
The partial derivates for z = xy can be expressed as:
[tex]y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}[/tex]
Thus, the area of the surface is as follows:
[tex]\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA[/tex]
[tex]= \iint_D \sqrt{x^2 +y^2 +1 } \ dA[/tex]
[tex]= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta[/tex]
[tex]=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr[/tex]
[tex]= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0[/tex]
[tex]= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg][/tex]
[tex]= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ][/tex]
if you times a 3 digit number by a 2 digit number what is the highest number you can get
Answer:
a 5 digit number
Step-by-step explanation:
Pick the largest three digit number (999) and the largest two digit number (99) and multiply them to get 999*99 = 98901
The result is a five digit number.
Answer: 5 digit number
Im having difficulty with these problems. Can someone please help me out?
1) Solve 2cos x=1
2) Solve: tan x -2sin x tan x=0
3) Solve: cos (2x)= -3^(1/2)/2
Answer:
x=60° or 300°
Step-by-step explanation:
2cosx=1
cosx=1/2
cosx=cos60°,cos(360-60)°
cosx=cos60,cos300
either,
cosx=cos60
x=60
or,
cosx=cos300
x=300
i dont understand this question can someone help me?
Answer:
Step-by-step explanation
turn the 4/11 into a decimal(0.3636) then see were it on the line then you can see wich is less
A farmer divided his piece of land into 2 equivalent groups and the quality of the soil is the same in both of these groups. He used fertilizers for the first group of land. He did not use fertilizers for the second group of land. At the end of the season, he measured the yield of the crops in these 2 groups. Is the study observational or experimental
Answer:
Observational would mean that he (farmer) has no direct impact or change on the statistical study.Experiment would mean that he imposed a certain treatment up a group in this case it would be the land.Hence we can determine that the the study was an experimental one.Troy wrote the equation in the box to find a solution to a problem.
6x = 42
Which problem could Troy be solving?
Troy set the microwave to defrost for 42 minutes. He later increased the time by another 6 minutes. What is the total time the microwave defrosted?
Troy bought movie tickets for 42 people. What is the total cost of the tickets if each ticket is $6?
Troy worked 6 days this week. If his timesheet totals 42 hours in those $6 days, how many hours did Troy average each day?
Troy sprinted 42 yards on Monday. On Friday, he sprinted $6 times as far. How far did Troy sprint on Friday?
I need help ASAP this is a grade!!
A women drives her car 168 miles in 3 hours. At this rate how far will she travel in 5 hours?
Answer:
280mph
Step-by-step explanation:
168 divided by 3 = mph
Times 5 = Answer
Enter the decimal equivalent of 9/12
Answer:
0.75
Step-by-step explanation:
9/12 = 0.75
what's 2+2-2-4+77 and what is the square root of the sum
Answer:
simplified it is 75 the square root of 75 is 8.66025403784
Step-by-step explanation:
PLEASE HELP!!!!!! I AM BEING TIMED!!!!
A garden hose fills a 2 gallon bucket in five seconds the number of gallons G is the proportional to the number of seconds T that the water is running select all the equations that represent the relationship between G and T
Answer:
A and E
Step-by-step explanation:
um for some reason my answer was deleted…
anyways, I think its A and E because the equation should be g = 2/5t and 0.4 is equal to 2/5 so that means that E is also correct.
A rectangle is drawn so the width is 4 inches longer than the height. If the rectangle's diagonal measurement is 46 inches, find the height.
Give your answer rounded to 1 decimal place.
Inches.
Answer:
30.5 iches
Step-by-step explanation:
What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC
Answer:
C. [tex]B(x,y) = \left(3,-\frac{16}{3} \right)[/tex]
Step-by-step explanation:
Let [tex]A(x,y) = (6,-7)[/tex], [tex]B(x,y) = (x,y)[/tex] and [tex]C(x,y) = (-3,-2)[/tex]. From statement we know that [tex]AB = \frac{1}{2}\cdot BC[/tex], which is equivalent to the following linear algebraic formula:
[tex]B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)][/tex] (1)
[tex]B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)[/tex]
[tex]\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)[/tex]
[tex]B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)[/tex] (2)
Then, the coordinates of point B on AC are:
[tex]B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)[/tex]
[tex]B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)[/tex]
[tex]B(x,y) = \left(3,-\frac{16}{3} \right)[/tex]
Which means that correct answer is C.
What is the simplified value of the expression below? -2.6+5.8
Answer:
3.0
Step-by-step explanation:
5.8-2.6=3.2 simplified 3.0
eighteen 2.5 gallon buckets are needed to fill a cistern with water. how many 3 gallon buckets of water would gill the cistern?
PLEASE ANSWER I WILL MARK BRAINLIEST!
Answer:
15
Step-by-step explanation:
45÷3
This is the correct awnser
12 yards = ______________ feet
Answer:
36 feet
Step-by-step explanation:
One yard is 3 feet.
12 yards * 3 feet = 36 feet
Answer:
36
Step-by-step explanation:
1 yard=3 feet so
12 yards = 3x12 feet
12 yards = 36 feet
Hope this helps! :)
5/6 divided 2/3 pls help
Answer:
exact form: -5/4
Decimal Form: -1.25
Step-by-step explanation:
When using best subsets regression with a model that has four independent variables, a total of ________ different combinations of regression models will be considered.
a. 4
b. 15
c. 12
d. 18
Answer:
b. 15
Step-by-step explanation:
Given that:
There are 4 independent variables, then the subset regression total is 2⁴ = 16 attainable regression model.
However, out of these 16 regression models, 1 Model contains no predictors which only intercept 3 Model with [tex](X_1), (X_2), (X_3)[/tex], 3 Model with[tex](X_1,X_2), (X_1,X_3), (X_2,X_3)[/tex]. and 1 Model which comprises all the independent variables.
Therefore, when applying best subsets regression with a model that possesses four (4) independent variables, the number of different combinations of regression models that can be considered is 15.
Helpppppppppp meeeee ASAP
option c is the answer....
PLEASE HELP!! AND SHOW WORK PLEASE!!
Answer:
keeping an eye on graph
Step-by-step explanation:
its answer will be
total price for 12.5 pound of rice=$32.5
mjkjnkj nkbjhbjhbhjbjh?
Answer:
huh?
Step-by-step explanation:
What inequality is represented by this number line?
x > -4
x ≤ -4
x < -4
x ≥ -4
Zach filled 581 one-liter bottles with apple cider. He distributed the bottles to 4 stores. Each store received the same number of bottles. How many liter bottles did each of the stores receive? Were there any bottles left over?
a. 145 liter bottles (There were 2 bottles remaining)
b. 142 liter bottles (There were 2 bottles remaining)
c. 145 liter bottles (There was 1 bottle remaining)
Answer:
a. 145 liter bottles (There were 2 bottles remaining)
Step-by-step explanation:
From this question, the total number of bottles that Zach had to fill with apple cider is 581.
He has to distribute these bottles to 4 stores after filling
The question says each store received same number of bottles.
To get the number of bottles received by each store, we divide 581 by 4
= 581 / 4
= 145.25
Therefore each store gets 145 bottles each and there would be a remainder of 2 bottles
Which is an x-intercept of the graphed function?
O (0,4)
O(-1,0)
O (4, 0)
O (0,-1)
Answer:
(x, y)
(-1,0)
since the rest of the points aren't in the multiple choice well it's (-1,0)
The solution is : the correct option is (B) (-1, 0), is an x-intercept of the graphed function.
Here, we have,
We are given to find the x-intercepts of the graphed function.
We know that
x-intercepts of a function are the points on the X-axis through which the graph of the function is crossing.
From the graph, we see that
the curve is crossing the X-axis at the points (-2, 0) and (-1, 0) .
Therefore, the x-intercept of the given function is (-1, 0).
Option (B) is CORRECT.
To learn more on function click:
brainly.com/question/21145944
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Which algebraic representation of a transformation on a coordinate grid does not preserve congruence A (x,y)-(x+6,y+6 .B(x,y)-(-x,y)C(x,y)-(6x,6y)D(x,y)-(-y,x)
Answer:
It’s A
Step-by-step explanation:
I tried to answer this one and got it wrong the question is “find the measure of each angle indicates”
Answer:
48
Step-by-step explanation:
Hi!
Remember, the sum of the angles on a straight angle is 180 degrees. Additionally, the sum of the measures of a triangle are 180 degrees.
Now, let's label the angles of the given triangle.
<DCE = y and <CDE=x
x+y+92=180
x+y= 88
Now, y+140 = 180 --> y= 40
x+40 = 88
x=48
The answer is 48 degrees.
Hope this is correct! Have a good day!
6) Which expressions are equivalent? Choose ALL that apply.
28
74
1) 7 to the fourth power
) 4 to the seventh power
7.7.7.7
The expressions "7^4", "7 to the fourth power", and "7*7*7*7"are the expressions that are equivalent.
We are given five mathematical expressions.The first expression is "28".The second expression is "7^4", which is equal to 2401.The third expression is "7 to the fourth power", which is equal to 2401.The fourth expression is "4 to the seventh power" which is equal to 16384.The fifth expression is "7*7*7*7", which is equal to 2401.Compare the values of all the expressions above.We can conclude that the second, the third, and the fifth expressions are equivalent as they have equal values.To learn more about expressions, visit :
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I have a 72 in math. And I’m trying to bring it up. So if you know ANY of these PLEASE answer. I really appreciate it!
Answer:
12
Step-by-step explanation:
For the distance on the number line it is 12 because -9 count that up to 0 and then add the rest.
The gym has 4 times as many baseballs than basketballs the gym has 25 total balls how many more baseballs than basket balls does the gym have
Let [tex]b[/tex] be the number of baseball and [tex]k[/tex] be the number of basket ball.
We have the following system:
[tex]\begin{cases}b=4k\\b+k=25\end{cases}[/tex]
Substitute the first equation into the second:
[tex]4k+k=25 \iff 5k=25 \iff k=5[/tex]
which yields
[tex]b=4k=4\cdot 5 = 20[/tex]
So, there are 20 baseballs and 5 basketballs, meaning that there are 15 more baseballs than basketballs.
n/ 39 = 8/13
Please select the best answer from the choices provided.
A: n = 32
B: n = 2 2/3
C: n = 24
D: n = 63 3/8
Answer:
24 is the correct answer
Find the value of x
Will give brainliest
The students in Mr.murthy´s class are participating in the recycling project. After 2 days, the class collected 20 plastic bottles. They collected the same number of bottles each day.
How many bottles did Mr.Murthy´s class collect in 5 days?
Answer:
50
Step-by-step explanation:
20/2=10
so this means 10 bottles per day
so there is 5 days
5 x 10 = 50
:)
Answer:
The answer to the missing spot in the ratio is the number 50.
Step-by-step explanation:
10x5= 50
hope this helps :)
