Start your trial now! First week only $4.99!*arrow_forward*

Question

Find the average rate of change of the function f(x), given below, from x=−1 to x=1.

f(x)=−5x3−4x2−4x−2

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Find the values of the convergent series [from k=4 to infinity] E (2/3)3n-1 (-4/7)2n+3 *that E just ...

A: Given information:The given convergent series is

Q: If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?...

A: we are given a differential equation as

Q: How can I get the result? Which is the result?

A: we are given a graph and locate direction

Q: The total profit (in dollars) from the production and sale of x calendars if P(x)= 22x-0.02x2-500; 0...

A: It is given that, the total profit from the production and sale of x calendar is P(x)=22x–0.02x2–500...

Q: lim x→-4 x2-16/x+4

A: The given function is f(x)= (x2-16)/(x+4)The limit of the function is to be calculated

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: We first draw a rough sketch of y=3/sqrt(x), y=0, x=5 and x=25. And shade the area between them.

Q: Which of the following is the power series representation for p(x)? A. B. 8+k -3 -3 k k 1 k k 1 O C....

A: Refer to the question,To find the interval of convergence of the provided series,

Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second squ...

A: To determine the velocity from the given conditions

Q: Help please.

A: The given function is (tan-1x)2.

Q: Differentiate y = (s - sqrt(s) ) / s^2 I don't understand what happens on step 3 of the screenshot...

A: Here use quotient rule of differentiation which is,

Q: 8xy′+4(ln x)y)(4) +5x3 y′=−6x4 y−9xy″ What is the order of the differential equation shown above?

A: The given differential equation is, 8xy′ +4(lnx)y4 +5x3y′ = -6x4y - 9xy″.The order of the highest d...

Q: Calculus Question

A: The given curve is,

Q: Find the area, in square units, bounded by f(x)=3x+5 and g(x)=2x+1 over the interval [0,12]. Do not ...

A: Area of region between f(x) and g(x) over the interval [0,12] is computed as follows.

Q: Please help!

A: Recall the quotient rule for derivative:

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point such that r 0 ...

A: We'll use the rectangular coordinate to the polar coordinate formula with x=-5 and y=5

Q: How do I show the correct solution for the differential equation? I know the answer is D.

A: First we separate the variables

Q: Let g(s)=(e^s)/s+1. Find g''(s).

A: At the outset, I want to spell out that the way you have written g(s), it can have one of the two in...

Q: 1) If an odd function h(x) has a local maximum value at x c, can anything be said about h at the val...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Use the table feature of a graphing calculator to predict the limit. Check your work by using either...

A: Step 1: Go to "Y=", then type in the function 3 + x − x2 Step 2: Go to "TBL SET" (2nd+WINDOW), the...

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing f(x) = -2 ...

A: First, we find f'(x).

Q: Need help solving the equation that is attached

A: x->4^+ means x is slightly greater than 4. That means we have to use the part when x>4 to find...

Q: 2ex/2 dx = 0 1 (e-1) 1 (e-1) e 1 2(e-) 4(e

A: Given:The integral is

Q: Evaluate the following integrals (a) x^5dx (b)(5^2+x^10)dx (c) (12x^5+12x^3-7)dx (d) (x^3-7-(3/x^4))...

A: You have asked a question with multiple sub parts. I will address the first three of them. Please po...

Q: A train is initially traveling at a rate of 5 miles per hour. The acceleration of the train is 5 mil...

A: Given: The acceleration of the train is 5 miles per hour squared. That is, a(t) = 5.The initial velo...

Q: What is the order of the following differential equation? −4x4 y=−5ln xy

A: Given differential equation is,

Q: How to convert percentage to ratio?

A: In this question we have to explain how to convert the percentage in fraction form.

Q: dr A manufacturer of a product has a marginal revenue function given by 20070q -3q. The demand funct...

A: The marginal revenue function r(q) is 200 + 70q – 3q2.

Q: Find the area of the region described. -4x and xIn 3 The region bounded by y e. ye X The area of the...

A: We first draw a rough sketch of y=e^x, y=e^-4x and x=ln 3And find the region bounded by them.

Q: I need help for this.

A: (a) Use the ratio test and compute the interval of convergence as follows.

Q: e) 1-5x - 31 8 nD 14-0.5x| 2 8 nos AR ) D6). C-17.3.), B(0,7.51 bo g) 4>-3x - 51 9-th onanibuoos-X 3...

A: You have asked a series of independent questions. I will address the first three parts. Please post ...

Q: Determine the area, in square units, of the region bounded by g(x)=−7x−7 and f(x)=x2 −11x−28 over th...

A: To calculate the area bounded between the curve g(x)=-7x-7 and f(x)=x2-11x-28 over the interval [-3,...

Q: Part d and e

A: (D) When the enclosed region revolve about x=2 line then the radius is on the line joining (2,0) and...

Q: Is y=e6x −3x−2 a solution to the differential equation shown below? y′−6y=7x+3

A: Here given differential equation is:Find the solution of given differential equation and match the g...

Q: Find all real values of x such that f(x)=0 F(x)= 18 - x^2/2 But then it asks me: Set the function eq...

A: The function is

Q: Find the derivative of y with respect to x y = csc^(-1)(x^6 + 1), x> 0

A: Find the derivative of the given function.

Q: Analysis of daily output of a factory shows that, on average, the number of units per hour y produce...

A: Part (a)The critical values will be where dy/dt = 0. Please see the white board.

Q: Consider an object moving along a line given the velocity v. Assume t is time measured in seconds an...

A: To find the direction we have to graph the function v(t)=2t^2-16t+24;[0,7]And then we check the inte...

Q: Need solution to 1b.

A: Part 1b.In this question, we have a function for which we have to solve limits, function is given be...

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The function is defined as

Q: Determine whether the following series converges. Justify your answer 9(4k)! Σ k=1 (kl)* Select the ...

A: Consider the given series:

Q: The funciton f in the figure satisfies the lim f(x)=5 as x approaches 4. Determine the maximum valu...

A: (A) From the inequality |f(x)-5|<1 , we\'ll find range of f(x) first.

Q: Differentiate the function. f(x) = (3x5 − 2)18

A: Consider the function:

Q: Find the point on the surface x2 − 2xy + y2 − x + y = 0 closest to the point (3, 4, −5).

A: Consider the provided surface

Q: During the first four months of employment, the monthly sales S (in thousands of dollars) for a new ...

A: Part (a)S= S(x)= 9 / x + 10 + x / 4, x ≥ 4The given function is defined only for x ≥ 4. We don't hav...

Q: Find the function represented by the following series and find the interval of convergence of the se...

A: The function is given by,

Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve a...

A: The given curve is,

Q: 2x 1 dx 3 (2x-1+C 6 C 2 x2-x C 3x

A: Given:The integral is

Q: The number of miligrams x of a medication in the bloodstream t hours after a dose is taken can be mo...

A: we are given a function

Q: This is solving the 2nd derivative of f(x) = x^2/ 1+e^x, and we have already obtained the 1st deriva...

A: The given function is,

Q: Hello, How do I know when the limit is since it is not going by pi/6, pi/4, pi/3, pi/2, pi, and 2pi...

A: As a first step I will respond to your specific question "What is the limit? Or how do i know when t...