Question
43 2 - 0
Graph of f
The function f is continuous for –4<x<4. The graph of f shown above consists of three line segments.
What is the average value of f on the interval –4<x54?
Expand
Transcribed Image Text

43 2 - 0 Graph of f The function f is continuous for –4<x<4. The graph of f shown above consists of three line segments. What is the average value of f on the interval –4<x54?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Applications of Integration

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Calculate the area of the shaded rectangles in Figure. Which approximation do these rectangles repre...

A: Given: y=fx=4-x1+x2 In the picture given above, the midpoints of the intervals are used to define t...

Q: I need help with the question below A water tank has the shape of an inverted circular cone (point d...

A: Given an inverted circular cone with base of radius = 3 ft depth of cone = 8 ft Water is pumped into...

Q: 1. Use the definition of the definite integral as the limit of a sum to evaluate -3 (4.r – r) dr.

A: Definite integral Definition  The definite integral of a real-valued function f(x) with respect to a...

Q: Exercise 7. Let f(2)=4Re(z) and C be the line segment connecting 1+i to 0. The integral of f over C ...

A: Solve complex line integral

Q: (iv) Solve the differential equation dy/dt + 4y 12, with the initial condition %3D y(0) = 2 and brie...

A: Given differential equation is : dydt+4y=12  y0=2

Q: Fill in the blank with a number to make the expression a perfect square. y +18y +

A: To make the expression a perfect square, we use formula of (a+b)² We know that                      ...

Q: Consider the equation below: f(x)=x^4-32x^2+3. Find the interval on which f is increasing and decrea...

A: Here we have;  f(x)=x4-32x2+3 ............(1) differentiate with respect to x f'(x)=ddxx4-32x2+3  

Q: Find the general solution of the first order differential equation 2xy(dy/dx)=x2-y2

A: The given differential equation is a homogeneous. See attached file for a step by step explanation.

Q: 3. Evaluate cach of the following integrals using any suitable technique (or com- bination of techni...

A: Click to see the answer

Q: Find the positive values of p for which the series converges. (Enter your answer using interval nota...

A: Click to see the answer

Q: Let h(t) = tan t. Find the maximum and minimum values of h on the interval I = [0, z/4]. Then use th...

A: To find the bounds for the area 

Q: Let f(x) = x5 + 5x4 + 6x + 3.   a. Conduct a sign analysis of f''. That is, determine the sign ...

A: Click to see the answer

Q: Find a power series representation for the function. (Give your power series representation centered...

A: Click to see the answer

Q: help

A: According to the properties of integration we have: ∫[f(x)±g(x)] dx=∫f(x) dx ± ∫g(x) dx

Q: A man wants to set up a 529 college savings account for his granddaughter. How much would he need to...

A: Given: Future value required 17 years=60,000

Q: Answer b and c

A: Click to see the answer

Q: B) find the Domain and Range f(x) = Vx – 3x²

A: Click to see the answer

Q: A business sets up a sinking fund so they will have a $66,000.00 to pay for a replacement piece of e...

A: An annuity is a contract between you and an insurance company in which you make a lump-sum payment o...

Q: Consider the following. y X (a) Determine the interval(s) on which f'(x) is positive and negative, a...

A: Click to see the answer

Q: Part d only

A: Click to see the answer

Q: Calculus Question

A: Click to see the answer

Q: Evaluate the definite integral. '16 9e V x dx

A: Topic- Definite integration

Q: An equation whose variables are polar coordinates is called a(n)............... .......................

A: given,        An equation whose variables are polar coordinates is called a(n). . . . . . . . .   ...

Q: Calculus Question

A: Given,  ∫022 x21-x2dx  We have to integrate by using trigonometric substitution.   

Q: Evaluate the following limit. Use lHôpital's Rule when it is convenient and applicable. y? + 2y - 3 ...

A: Here we use L Hospitals Rule to determine the limit of function.

Q: Let f (x) = | x |. The mean value of f on the interval [-4, 3] is

A: Click to see the answer

Q: Which of the following is the solution of the differential equation y^(4)-10000y=0 ? a) y=(x^2)(10+e...

A: Click to see the answer

Q: help

A: The explanation of answer as follows

Q: In Problem,the letters r and represent polar coordinates.Write each equation using rectangular coord...

A: To Determine: Write each equation using rectangular coordinates (x, y). Given: we have r=33-cosθ Exp...

Q: Showing and justifying all work, find: lim (2 – r)tan(52) Hint: Take logs and use properties. You ne...

A: Topic- limits

Q: A test requires that you answer first Part A and then either Part B or Part C. Part A consists of 6 ...

A: part A can be filled in 2C1*2C1*2C1*2C1*2C1*2C1= 2^6 ways= 64 ways part B can be filled in 5C1*5C1*5...

Q: Evaluate cach of the following integrals using any suitable technique (or com- bination of technique...

A: Click to see the answer

Q: Part a only

A: Integrate

Q: Q 4. Use ab-initio method and find the derivative of 3x +5x² – 2x-12.

A: ab-initio method is nothing but differentiating the function using basic principle of differentiatio...

Q: help

A: Given:fx=x2-3x-10To find Riemann sum ,S5 on the interval -3,7, by partitioning the interval-3,7  int...

Q: What is an increasing function?

A: What is an increasing function?

Q: help

A: We have to estimate the e0.02 Use equation of tangent line to the curve y=ex at x=0 Substitute x=0 i...

Q: 4.8· 12...(4 k) Σ Determine whether the series converges or diverges. (4k)! a) Oconverges b) Odiverg...

A: Click to see the answer

Q: Graph the following function using information from the first and sec- ond derivatives. Label all ke...

A: From 1st derivative test we can find out the critical points.

Q: ах + b Using a Function Let f(x) сх + d' (a) Show that f is one-to-one if and only if bc ad + 0. (b)...

A: Given function is f(x)=ax+bcx+d

Q: Calculus Question

A: Splve intregal