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

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12
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4
4

Answers

Answer:

13

Step-by-step explanation:

Sorry im in 5th grade.

Use the given numbers.
146,406
364,640
344,636
Part A
Which number has one digit that represents ten times the value of the digit to its right?
Enter your answer in the box.

Answers

Answer:

on the third number it says 344,636 and there is a double 4

344,636 because 4,000 x 10 is 40,000

PLEASE HELP FAST ASAP WILL GIVE BRAINLIEST
Find the value of AD.

Answers

it’s 13.4. pythagoras tells us a^2+b^2=c^2. 12 is a. 6 is b. both numbers squared do add up to 180 however sqroot that is 13.4

NEED BY TODAY PLEASE GET RIGHT

Answers

-5

30 + (-15) + (-10) + [-5] = 0

2.85 tons when rounded to the nearest hundreds

Answers

Answer:

2.861

Step-by-step explanation:

The answer to your question is 2.849

48 girls and 64 boys belong to the Twelve Mile Coulee School choir. The choir teacher plans to arrange the students into equal rows (the same number of students in each row). Only girls or boys will be in each row. What is the greatest number of students that could be in each row?

Answers

Answer:

16 students

Step-by-step explanation:

48+64=112

the highest number that can go into 112 equally is 16 so htere would be 7 rows and 16 students in each row

The area of a rectangular field is 200 m²and its perimeter is 60 m. Find the lengthand width of the field.​

Answers

The length and width are 10 and 20

Answer:

length: 20m

width: 10m

(or vice versa)

Step-by-step explanation:

By substituting each of the values (20 meters for length and 10 meters for width), you will receive answers that satisfy each of the given traits of the rectangle:

200=20x10

200=200

60=2(20)+2(10)

60=40+20

60=60

Felicia paid $125 to join a tennis club. She pays an additional $5 every time she uses on of the tennis club occurs.

State what x and y represent in context

What is the y-intercept for the question and explain what it represents in context​

Answers

You can model the situation you described as

[tex]y=125+5x[/tex]

Where [tex]y[/tex] represents the money spent, and [tex]x[/tex] the number of uses.

The [tex]y[/tex] intercept is 125, which represents the money spent without using the club even once. In fact, to find it you set [tex]x=0[/tex], i.e. zero usage.

how do you graph x ≥ 6 and
x ≥ -0.6

on a line graph

Answers

Step-by-step explanation:

A line graph, or a number line, has the numbers on different points along the graph. It's a little hard to explain since I can't draw one, but for x>=6, jut plot 6 on the number line as normal. Then since it could be equal to six, put a closed  circle (if it wasn't equal to then it would be an open circle).

Now since x is greater than, draw an arrow to the right (since the numbers increase the farther right you go). The follow the same idea for the other one.

Answer:

Look at the Picture.

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

Since the greater than sign is used, the circle will be filled in.

Since x is greater than the number, the line arrow will go in the direction of the number that is greater than it.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

A contractor is building a tower shaped like a tall rectangular prism. He is told that the dimensions of the tower must be 50 ft × 80 ft × 250 ft. The building is to have 20 floors with a 2.5 ft tall portion between each floor and for the roof. What is the volume of each floor of the building?

Answers

Answer: 50,000ft^3

Step-by-step explanation: You have to multiply 50, 80, 250 then divide by 20 because you’re looking for the floors only and not the roof and floor

5/6 × 1/5= 1/6. How the answer came 1/6? Explanation needed.​

Answers

Answer:

see below

Step-by-step explanation:

5/6 × 1/5= 1/6

Rewrite the fractions

5/5 * 1/6 = 1/6

1 * 1/6 = 1/6

1/6 = 1/6

Answer:

below

Step-by-step explanation:

[tex] \frac{5}{6} \times \frac{1}{5} [/tex]

divided 5 by 5

[tex] 5 \div 5 = 1 [/tex]

multiply 1 by 1/6

[tex] 1 \times \frac{1}{6} [/tex]

hence,

[tex] = \frac{1}{6} [/tex]

3 1 R7 12 8 27 - 2 4 1 2 O 00 7 4 0 7​

Answers

yes ❤️
correct sirrrrr

Michael has credit card debt of $75,000 that has an 12% APR, compounded monthly. The minimum payment only the requires him to pay the interest on his debt. He receives an offer for a credit with an APR of 4% compounded monthly. If he rolls over his debt onto his card and makes the same monthly payment as before, how long will it take him to pay off his credit card debt?

Answers

Answer: 122 months.

Step-by-step explanation: The first step is to calculate the minimum monthly payment using the debt balance of $75,000 and 12% APR compounded monthly,which = $75,000 × 12% / 12 = $750 . The second step is to use the same $750 as payment, and using a discount rate of 4%/12, calculate the number of months required to pay off the present value (PV) of $75,000 , which = 122 months.

2.
(04.01) WILL GIVE BRAINLIEST

Which of the tables represents a function? (4 points)

Table A
Input Output
8 −9
8 −8
10 −8
Table B
Input Output
4 11
7 12
7 13
Table C
Input Output
−4 0
−3 3
−2 5
Table D
Input Output
10 0
10 4
3 7
Table A
Table B
Table C
Table D

Answers

Answer:

C

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

hope this helps


A manager purchased a total of 25 short sleeved and long sleeved shirts. Each short sleeved shirt costs $15 and each long sleeved shirt
costs $20. If the manager spent a total of $425, how many short sleeved shirts did the manager buy?

Answers

ANSWER: 15 short sleeved shirts


Steps:

Use system of equations where x is short sleeved and y is long sleeved.

x+y=25
15x+20y=425

Make the coefficient of x the same in both equations.

Solve by elimination

15x+15y=375
-15x+20y=425
=-5y=-50

Divide both sides by -5 to isolate x
= y=10
This is the number of long sleeved shirts the manager bought.

Substitute y into the second equation to find the number of short sleeved shorts the manager bought.

15x+20(10)=425
= 15x+200=425
= 15x=225
= x=15

So the final answer is that the manager bought a total of 15 short sleeved shirts and 10 long sleeved shirts.

3x-2/4 -2x-5/3 = 1+x/6 i wil mark brainliest plz solve this equation with explanation​

Answers

Answer:

x is equal to 19/5 which can also be expressed as  [tex]3\frac{4}{5}[/tex], or 3.8

Step-by-step explanation:

[tex]3x - 2/4 - 2x - 5/3 = 1 + x/6\\\\x - x / 6 = 1 + 2/4 + 5/3\\\\5x/6 = 6/6 + 3/6 + 10/6\\\\\frac{5}{6}x = 19/6\\\\x = \frac{19}{6} * \frac{6}{5}\\\\x = \frac{19}{5}[/tex]

Answer:

x = 12

Step-by-step explanation:

Solve:

[tex]\displaystyle \frac{3x-2}{4}-\frac{2x-5}{3}=\frac{1+x}{6}[/tex]

To eliminate denominators, we multiply all terms by the LCM of 4,3, and 6 = 12.

Multiply by 12:

[tex]3(3x-2)-4(2x-5)=2(1+x)[/tex]

Operating:

[tex]9x-6-8x+20=2x+2[/tex]

[tex]9x-8x-2x=6-20+2[/tex]

Simplifying:

-x=-12

x = 12

Ghidu it g get stuck didjdgef

Answers

Answer:

It would be a

Step-by-step explanation:

the difference is 4/8 but simplified it is 1/2

What is the value of -4^2+(5-2)(-6)?
O-34
O-2
O 10
O 34

Answers

The value of -4² + (5-2) (-8) is -34.

What is Integer?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

We have expression as -4² + (5-2) (-8)

Now, solving the terms in the expression

-4² = -(4 x 4)= -16

and, (5-2) (-6)

= 3 (-6)

= -18

So, the value of -4² + (5-2) (-6)

= -16 - 18

= -34

Learn more about Integer here:

https://brainly.com/question/15276410

#SPJ1

Am I correct? I would like to know, thanks!

Answers

Answer:

a) <CA

b) im not sure about this one

Step-by-step explanation:

ill give the crown things
Dash & Lily like to read books. Dash has read 25 books this summer, and Lily has also read some books this summer.
If together they have read 78 books, how many did Lily read?

Answers

Answer:

Lily read 53 books

Step-by-step explanation:

78-25=53

Hope this helps!       :3

Plz mark as brainliest!

Answer quickly for brainliest!!!​

Answers

Answer:

Subtract 5 from both sides.

Step-by-step explanation:

Answer:

C. subtract 5 from both sides.

Step-by-step explanation:

when solved, its y=7

Can some one help meeee

Answers

Answer:

With what? there is nothing here

Step-by-step explanation:

What is the quotient of 2 ÷2/3 plz help​

Answers

Answer:

3

Step-by-step explanation:

2/(2/3)=(2/1)/(2/3)=(2/1)(3/2)=6/2=3

Answer:

3, I think (hope this helps)

Step-by-step explanation:

Graph the line that passes through the two lines (1,5/2), (-1/2,-1/4)

Answers

Answer:

Image below

Step-by-step explanation:

Graph of a Line Given Two Points

We are given the points (1,5/2), (-1/2,-1/4).

A straight line is entirely defined by two points. We have to plot them and join them with a straight line ending in arrows.

The point (1,5/2) is converted to decimal as (1,2.5)

The point (-1/2,-1/4) is also converted to decimal: (-0.5,-0.25)

This helps to define the divisions of each axis and properly draw the line.

Please refer to the image below.

one - step adding/ subtraction equation / multiplication/ division problems
The height of the water in an above ground pool is 36 inches. The pool needs to be drained. As the water drains, the height of the water changes at a rate of -1/2 inch per minute. Write and solve and equation to find out how many minutes it will take to drain the pool.

Answers

Answer:

It would take x = 72 minutes to drain the pool.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the rate of change or slope and b is the y-intercept

Let 'y' be the height of the water poolLet 'x' be the time in the minute of the water pool

As the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.

Thus,

y-intercept = b = 36

As the water drains, the height of the water changes at a rate of -1/2 inch per minute.

Thus, the rate of change or slope = m = -1/2

Thus, using the equation

[tex]y = mx+b[/tex]

substituting m = -1/2 and b = 36

[tex]y\:=\:-\frac{1}{2}x+36[/tex]

We know that when the pool drains, the height of water reduces to zero.

Thus, substituting y = 0 in the equation

[tex]0=-\frac{1}{2}x+36[/tex]

switching sides

[tex]-\frac{1}{2}x+36=0[/tex]

subtract 36 from both sides

[tex]-\frac{1}{2}x+36-36=0-36[/tex]

[tex]-\frac{1}{2}x=-36[/tex]

Multiplying both sides by -2

[tex]\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)[/tex]

[tex]x=72[/tex]

Therefore, it would take x = 72 minutes to drain the pool.

Complete the table.
y = f(g(x))
u = g(x)
y = f(u)
y = 8 tan(itx5) u =
I
y = 8 tan u

Answers

9514 1404 393

Answer:

u = x +14 u = πx^5

Step-by-step explanation:

I find it easiest to match the patterns. You could also work this by finding inverse functions.

1.

  [tex]y=u^{-1/2}\\\\y=\dfrac{1}{\sqrt{u}}=\dfrac{1}{\sqrt{x+14}}\\\\u=x+14 \qquad\text{match radical contents}[/tex]

__

2.

  [tex]y=8\tan{u}=8\tan{(\pi x^5)}\\\\u=\pi x^5 \qquad\text{match tangent arguments}[/tex]

Use the following coordinate plane to write the ordered pair for each point.


If you can PLZ help

Answers

Answer:

For A it is 0,5

For B it is 1,3

For C it is 4,3

I need help!!! Please figure it out and type it out.

Answers

Answer:

the mean number is 2.7

Step-by-step explanation:

if you add up the frequency of books then divide by 20 you get 2.7

Here are three symbols.
<
>
=
Write one of these symbols in each box to make four true state

Answers

Step-by-step explanation:

4 + 9 = 3 ^ {2}

13=3^{2}

13=9

Answer:

a. <

b. =

c. =

d. >

these are correct I guess

Help me out here please I need some help here

Answers

12 must be the answer
There were 4 loaves of banana bread. 3/10 of each loaf was eaten. Thus, you can multiply 3/10 by 4 to find the total amount of banana bread remaining.

3/10 * 4/1 = 12/10

Simplify:
12/10 -> 6/5 -> 1 1/5

Thus D, 1 1/5 loaves remain at the end of the picnic.
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