If f(x)= tan^-1(2x), find lim x->2 (f(x)-f(2))/x-2
A. 2/17
B.1/17
C.-2/15
D. -1/15

If F(x)= Tan^-1(2x), Find Lim X->2 (f(x)-f(2))/x-2 A. 2/17B.1/17C.-2/15D. -1/15

Answers

Answer 1

Answer:

The value of the limit is 12.

Step-by-step explanation:

Small typing mistake, the limit is of h tending to 0.

Then

Calling the limit L

h is the common term in the numerator, then

Simplifying by h

Since h tends to 0.


Related Questions

#1
If Four cups of flour makes seven dozen holiday cookies, how many cups of flour are needed to make 126
cookies?

Answers

Answer:

6 cups to make 126 cookies

Step-by-step explanation:

dozen = 12 cookies

7 x 12= 84

126 - 84 = 42

so you will have to make 42 cookies more and that will be 2 more cups of flour

it total is 6 cups to make 126

Solve the system of equations given below.
y - 15 = 3
-2.1 + 5y = -3

Answers

Answer:

1) y=18

2)y=-0.18

Step-by-step explanation:

1) y-15=3. Add 15 on both sides.

y=18

2)-2.1+5y=-3. Add 2.1 on both sides

5y=-0.9. Divide 5 on both sides

y=-0.18

A chef got 4 bags of onions. The red onions came in bags of 7 and the yellow onions came in bags of 3. If the chef got a total of 24 onions, how many bags of each type of onion did he get?


Help me please

Answers

Answer: He for three red bags and one yellow.

Step-by-step explanation:

3x7=21

1x3=3

21+3=24

Answer:

3 bags of red and 1 bag of yellow onions.

Step-by-step explanation:

7 + 7 + 7 + 3 = 24

I have the answers i just need to know the solution on how you do 10 and 11.

Answers

Hope this helps for question 10

9. Jack has $5.90 in spare change in his pocket. All of the coins are nickels and quarters. If
he has 50 coins total, how many of each coin does he have? (Use a system of equations
to solve algebraically. Identify your variables.)

Answers

Answer:

33 nickels, 17 quarters

Step-by-step explanation:

q=quarters, n=nickels

Since total number of coins = 50 and he only has quarters and nickels,

q + n = 50.

Since a quarter is 0.25 dollars, a nickel is 0.05 dollars, and his total is $5.90,

0.25q + 0.05n = 5.90

Multiply the entire second equation by -4 to get -q and eliminate q from both equations: -4(0.25q + 0.05n = 5.90)

So, q + n = 50

And -q -0.2n = -23.6

Cancel q's and add down to combine both equations, so 0.8n = 26.4

Solve for n by dividing 0.8 by both sides, so n = 33

Plug n back into the first equation: q + 33 = 50 and q is thus 17.

Hope this helps!

Need help ASAP!!!
Please helppp

Answers

Your answer will be 24

The diagram shows two Parallel lines cut by a transversal. PLEASE HELP!

Answers

Answer:

you are right it is option a

Step-by-step explanation:

cause

One year, the population of a city was 333,000. Several years later it was
293,040. Find the percent decrease.

Answers

Answer:12%

Step-by-step explanation:

(333000-293040)×100/333000

Solve the system.
x + 2y – 4z = 4
2x – y + 2z = 3
3x – 8z = -2

Enter answer as ordered triple.

Answers

X+2y - 4z =4

2x-y +2z =3

3x-8z=-2

9z / 14y/7x

Answer:

(2,3,1)

Step-by-step explanation:

i just did the problem

hope this helps :))

1
Determine whether the triangles are similar. If they are, write a similarity statement.
42°
48
Are they similar?
If so, then which of the following is an accurate similarity statement?

Answers

Answer:

theyre not similar

Step-by-step explanation:

they have different angles

Penelope's car gets 300 miles on 20 gallons of gas. Blake's car gets 495 miles on 15 gallons of gas.
Which car has better gas mileage?

Answers

Answer:

Blake's car gets better mileage

Step-by-step explanation:

In order to find how many miles you get per gallon, you would do miles/gallons

As I'm typing this I realize it makes no sense but pretty much you just do 300/20 which is 15 mpg, and 495/15 which is 33 mpg, therefore Blake's car is better

please help with this

Answers

Answer:

[tex]S_{n}[/tex] = n² + 4n ; n = 11

Step-by-step explanation:

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [2 [tex]a_{1}[/tex] + (n - 1)d]

~~~~~~~~~

[tex]a_{1}[/tex] = 5

d = 7 - 5 = 2

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2(5) + 2(n - 1)] = [tex]\frac{n}{2}[/tex] ( 8 + 2n ) = 4n + n²

[tex]S_{n}[/tex] = n² + 4n

n² + 4n = 165

n² + 4n - 165 = 0

(n + 15)(n - 11) = 0 ( n ≥ 0 ) ⇒ n = 11

Simplify using the laws of exponets.

Answers

Answer:

2*5

Step-by-step explanation:

when youre dividing with powers you have to subtract them so 2*5-2*4=2*1. When the power is in brackets you multiply the whole power. So 2*1 x 5 = 2*5.

Molly scored 86, 87, 93, and x
on her four history tests. If her
average for the four tests was 91,
what is the value of x?

Answers

Answer:

98

Step-by-step explanation:

Average is the sum of all data points divided the number of data points.

In this specific situation, the average test score, 91, is equal to the sum of Molly's four individual test scores divided by the number of test Molly had, 4.

(( 86 + 87  + 93  + x) / 4) = 91

86 + 87 + 93 + x = 91/4

86 + 87 + 93 + x = 364

x = 364 - 93 - 87 - 86 = 98

PLEASE HELP!! I NEED THIS ANSWER TO GET A GOOD GRADE!!!!!

Answers

Answer:

-5-4

Step-by-step explanation:

Let me know if I am wrong, if I am I apologize.

Have a good one.

albexa ko nepali aartha​

Answers

Answer:

what does this mean

Step-by-step explanation:

is this in another language?

Shelly biked 21 miles in 4 hours what is shellys average speed per hour?

Answers

Answer:

The average speed per hour of Shelly is 5.25 minutes.

Step-by-step explanation:

We can do proportion to solve this.

[tex] \frac{21 \: miles}{4 \: hours} = \frac{x}{1 \: hour} \\ \frac{4x}{4} = \frac{21}{4} \\ x = 5.25[/tex]

Given the following list of data, find the median.
1,3, 1.23, 2, 4, 22, 13, 26. 8

Answers

Answer:

solution

or, (N+1) th item

_

2

or ,8+1 th item

_

2

or,9

_

2

or,4.5 th item hence the median is4

The median of the given numbers will be 8.5.

What is the median?

The Median is the middlemost value of the numbers arranged in ascending orders. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.

The given data is:-

1 , 1.23 , 2 , 3 , 4 , 13 , 22 , 26.8

The total numbers of the data are 8 so the median will be calculated as:-

Median = ( 4 + 13 ) / 2

Median = 17 / 2

Median = 8.5

Therefore the median of the given numbers will be 8.5.

To know more about median follow

https://brainly.com/question/26151333

#SPJ2

Suppose y varies directly with x. Write a direct variation equation to relate x and y if y = 10 when x = 2

Answers

Answer:

y=5x and y=40 when x=8

Answer:

y = 5x

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 2

10 = 2k ( divide both sides by 2 )

5 = k

y = 5x ← equation of variation

Can someone help and explain this question please thank you so much I appreciate

Answers

Answer:

$176.23

Step-by-step explanation:

(13x12)+(0.07x289)=

156+20.23=

$176.23

A zucchini plant in Darnell's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day. Write a rule to describe the function. After how many days will the zucchini plant be 0.185 meter tall?

Answers

Answer:

(a) Find out the  a rule to describe the function.

To prove

Let us assume that the days be represted by d .

Let us assume that the height of plant be represted by y.

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

Than the function becomes

y = 12 + 0.5 × d

y = 12 + 0.5d

(b) Find out after how many days will the zucchini plant be 0.195 meter tall .

To prove

Let us assume that the days be represted by d .

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

As

1meter = 100cm

0.195 meter convert into centimeter.

= 19.5cm

Than the equation becomes

12 + 0.5d = 19.5

0.5d = -12 + 19.5

0.5d = 7.5

d = 7.5/10

d = 15 days

Therefore 15 days will the zucchini plant be 0.195 meter tall .

Jada has 12 library books checked out and Han has 1/4 less than that. How many books does
Han have checked out?

Answers

one fourth of 12 is 3 so,
12-3=9
han has 9 books checked out

Ten percent of the items produced by a machine are defective. Suppose that twenty items are randomly chosen. Use this information to answer the following three questions. What is the probability that exactly 3 of the items are defective

Answers

Answer:

15%

Step-by-step explanation:

if 10% is to 20 then 15% is to 30

I need help please I have to finish this

Answers

Answer:

Look at the Screenshot below  for the answer

Step-by-step explanation:

Answer:

-5/2

Step-by-step explanation:

Which three quantities are needed in order to calculate the value of the Y-intercept for the linear
regression prediction equation?
The slope, the mean of X, and the total number of observations in the data
The slope, the mean of Y, and the total number of observations in the data
The mean of X, the mean of Y, and the total number of observations in the data
The mean of X, the mean of Y, and the slope​

Answers

9514 1404 393

Answer:

  (d)  The mean of X, the mean of Y, and the slope

Step-by-step explanation:

A point on the linear regression curve is (mean(x), mean(y)). With that point and the slope, the equation of the line can be found. That equation will reveal the y-intercept.

  y-intercept = mean(y) -slope·mean(x)

HELP PLEASE ASAP WILL GIVE BRAINLEIST

Answers

Answer:

PN = 10

Step-by-step explanation:

Base angles converse theorem states that a triangle with two congruent angles is isosceles. The sides opposite to the two congruent angles are the congruent sides. The side between the two congruent angles is the base.

In this problem, it is given that <P = <O, hence ΔNOP is isosceles, because of base angles theorem. OP is the base, and hence NO is one of the congruent sides and therefore has to be congruent to PN. Which means that PN is 10.

If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u? triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED, CE equals p, EA equals r, CD equals q, DB equals t, ED equals s, and AB equals u u equals p over q u = one halfs u equals q over p u = 2s

Answers

Answer:

u=2s

Step-by-step explanation:

just took the exam

The expression that most effectively represents u's value would be:

D). u = 2s

Given that,

In ΔABC,

E is the midpoint in the segment AC,

While D is the midpoint of BC,

As different letters are provided equivalent to different segments. For example; Segment ED = s ; Segment CE = p ; Segment EA = r

Segment CD = q ; Segment DB = t ; Segment ED = s ; Segment AB = u

As,

CE = 0.5 × AC(midpoint)

CD = 0.5 × CB (midpoint)

Thus,

CE/AC = CD/CB = ED/AB = 1/2           (Through side angle side similarity)

Since ED = s and AB = u

∵ u = 2s                                   (using midpoint theorem)

Thus, option D is the correct answer.

Learn more about "Segment" here:

brainly.com/question/13330632

The distance between two stations is 240km. A train takes 4hrs to cover the distance. Calculate the speed of the train​

Answers

Answer:

The train was travelling at 60 km/h

Step-by-step explanation:

We're already given time and distance, and speed is just distance/time, so:

240km / 4h

= (240/4) km/h

= 60km/h

Solve each equation 3y - 4 = 6 - 2y

Answers

Answer:

y = 2

Step-by-step explanation:

3y - 4 = 6 - 2y

+2y                +2y

5y - 4 = 6 (new equation)

     +4   +4

5y = 10 (new equation)

/5      /5

y = 2

part 1
Solve the following equation
3(2y + 4) = -2y + 20
(show steps)
part2
what is the value of y?

Answers

Answer:

1

Step-by-step explanation:

3(2y+4)=-2y+20 distribute

6y+12=-2y+20 isolate variable

8y+12=20 subtract number

8y=8

y=1

Hope this helps plz hit the crown :D

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