Find the difference quotient and simplify your answer. g(x) – g(4) g(x) x2'

Q: For each sequence, find a closed formula for the general term, an. 1. -2,-8,-18,-32,-50,..., an= 2. ...

A: Here, I am solving only 2 question and for the 3rd question post the again.Question 1:Given,        ...

Q: Determine whether the following series converges or diverges. n9" n=1

A: Given series

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A: Given,

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A: According to the given information, the total sale of a company t months from now are given by:

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A:

Q: All edges of a cube are expanding at a rate of 9 centimeters per second. (a) How fast is the volume ...

A: GivenAll edges of a cube are expanding at a rate of 9 centimeters per second

Q: Select the correct answer below:   A)The slope of the tangent line at x=0 is −3.   B) The sl...

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A: The given equation of line is,

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A: Using definition of derivative we can write f ' (x) as: 

Q: Please solve and show your work

A: Given that 

Q: See image below.

A: From definition of derivative we get:

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A: a)  Plug the given expression for f(x), then factor the denominator and simplify. 

Q: Find the radius and center of each sphere 18.) x^2+y^2+z^2+2y-2z=2

A: Given:

Q: ***Using only Constant, power, constant multiple, sum & difference, & rate of change rules (...

A: Given function can be written as

Q: The per capita consumption of commercially produced fresh vegetables in a certain country from 1980 ...

A: Given: The per capita consumption of commercially produced fresh vegetables in a certain country fro...

Q: What is the length of the arc y = (x6/6) + (1/16x4) on the interval [1,2]?

A: Given, function and interval

Q: du/dt=e^(3u+8t)   u(0)=-9   Solve for some function u(t)

A: Given,

Q: 3. Find the surface area generated by rotating y=- bounded by y=0_ x=0 , and x=9 about the the x-axi...

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Q: 57. Given the model d- 20e 0 cos 2 71, for an object in damped harmonic motion, a. Determine the ini...

A: (a)Find the initial displacement

Q: The radius of a right circular cylinder is given by   square root t + 9 and its height is 1/9...

A: GivenThe radius of a right circular cylinder and height is given by

Q: Please solve and show your work

A:

Q: Hello, When I asked an earlier question, the response regarded a identity:    1-cos(x) = 2sin2(x/2) ...

A: The formula was derived from this formula:

Q: please solve it and show your work

A: The given equation is

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) A -...

A: Given limit is 

Q: 9. If f is continuous and f(3x) dx. f(x) dx = 8, evaluate Answer:

A: Given:

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A:

Q: find the antiderivative of the function t(x)=5/x^2

A:

Q: Use the graph of the function g shown to estimate the function value g(0.7). 4- 2- Find the function...

A: To find: -

Q: dy/dx=(1+x)/(xy^(14)) x>0 use the initial condition y(1)=6 find a function of y^15

A: Given:

Q: If cos(θ)=−5/12 and θ is in quadrant III, then evaluate the following. 1. tan(θ)cot(θ)= 2.  csc(θ)ta...

A: Given that theta is in quadrant III , so we draw a triangle in quadrant III with adjacent =-5 and hy...

Q: Use the four-step process to find f' (x) and then find f'(1), f'(4), and f'(8). f(x) = 2x² – x -3 f'...

A:

Q: Find the exact length of the curve. y2 = 16(x + 3)3,   0 ≤ x ≤ 3,  y > 0

A: Given: Find the exact length of the curve.

Q: See image below.

A: To determine the value of the limit if it exists.

Q: 12. The Definition of the Derivative Find the formula for the instantaneous rate of change of f(x) =...

A: Given:

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A: Given:

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A: A cyclist is riding on a path whose elevation is modeled by following functionA cyclist is riding on...

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A: Given:

Q: 14 dt t2 – 14t + 50

A: Evaluate the integral.

Q: Find the positive value of x that satisfies x=0.8cos(x). Give the answer to six places of accuracy.

A: Here we use Newton’s method to find the positive value of x which satisfies x = 0.8 cos(x) Here the ...

Q: Hi.  I need help.   (1/x-2)+(3/x+3)=4/x2+x-6

A: We have to prove both the sides

Q: For each sequence, find a closed formula for the general term, an. 0,3,8,15,24,…,an=

A:

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). 3x f(x) = 3+X f'(x) =...

A: Use the four-step process to find f’(x)

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Q: How to determine the arithemetic sequence in the attached image?

A: Given,

Q: Find the length of the curve. 8t3/2j + 3t2 k, r(t) = 12ti + 0 <t< 1 %D

A: Consider the provided curve,

Q: Give an Example to show the 2 Dimensional graph of the linear equation.

A: To find: -

Q: dx dy, where D is the disk x2 + y² < 9. (x² + y?)3/2 Evaluate

A: The given integral is,

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A: Given function

Q: Find the surface area of revolution about the x- axis of y = 3 sin(5x) over the interval Preview

A: Given curve is y=3in(5x), firstly, we will find dy/dx