Answered: Find the average value of the function…

Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value 1. f(x) = 9x², [−3, 3]

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

See similar textbooks

Related questions

Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

Q: 5. Evaluate 4 1+√√/5x J -dx

Q: Select all of the following tables which represent y as a function of and are one-to-one. I 5 8 8 Y…

A: Given query is to find which function is one to one.

Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x = 2 MECHI y=0 (Type your…

A: Use derivative for finding the equation of line .

Q: Use one of the formulas in the table above to integrate dx x8 + 16 (By the way, you're going to need…

Q: Assume f(x) is a differentiable function such taht f(1) = 3, f'(0) = 2, and f'(-2) = 7. Evaluate the…

Q: Which of the following is correct? 1. cosh²x + sinh²x = 1. II. sinh x cosh y = sinh (x + y) + sinh…

Q: dp p(-75+25p²) 2 S. Trigonometric Substitution

Q: Find the arc length of the parametric curve. x=e¹, y=et, z = √2t; 0≤t≤5

Q: Suppose f(x) = x² - 4x-9. Compute the following: A.) f(-3) + f(2) = B.) f(-3)-f(2)= =

Q: r(x, y) = ln(x + y) w = x sin(y) + y sin(x) + xy

A: In partial derivative, while taking the derivative with respect to one variable consider other…

Q: x = 48 cos(t),

A: answer is in next step

Q: Using partial fraction in evaluating f(x) + What is f(x)? X x²+x+7* A 2x-6 7 ® 1/²(2x+1)= 1/²/2 B ©…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

Q: Let ƒ(x) = 4x² + 3x³ +9. Find the equation of the line tangent to the graph of y = f(x) at the point…

Q: Calculate the derivative. x4-4 y = x²5 (Give an exact answer. Use symbolic notation and fractions…

Q: Calculate the derivative. f(x) = (6ex - 7x²) (x³ + 1) (Use symbolic notation and fractions where…

Q: Consider the function f(x) below. At what value(s) of x are the inflection points? Enter answer…

Q: f f(x) x² 4 + x find f"(2).

Q: tan6(x) cos4(x) sin²(x)sec³(x) [7sin²(x) + 9cos²(x)] + C A 63 tan²(x) [7tan²(x) +9] + C B 36 Ⓒ…

Q: Question 10 Complete the description of the piecewise function graphed below. Enter the domains as…

A: To find for which intervals does the given values of f(x) are obtained.

Q: Using integration by parts, Then k is? (a) - 1.5136 [x² cos(x²) dx = k - [*x sin(x³) dx fx 0 (b) -…

Q: y = (2x²+1) 3x²+1 2

Q: Compute the area bounded by the curve y=3x² and the lines y=0 and x = 3,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: [sin³ (2) cos(4) dx

A: Follow the procedure given below.

Q: lim √xe/2 x →∞

Q: ∞ Use the ratio test to determine whether n + 9 n! n=14 converges or diverges. (a) Find the ratio of…

Q: quotient (Express numbers in exact form. Use symbolic notation and fractions where needed.)…

A: Given query is to find the derivative of the expression.

Q: Given the integral [ cot³x csc5x dx. If u = cscx, then the integral can be re - written as: (a). f…

A: We will substitute u=cscx and then calculate the rest.

Q: How long will it take for a $3000 investment to grow to $17,556 at an annual rate of 11% ,…

Q: Evaluate Ic (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (9, -7)

Q: Eliminate the parameter and write the resulting rectangular equation whose graph represents the…

Q: Circles, arc length, and Area of sector. (a) Draw a circle with radius r (b) Convert angle 0 to…

A: Given : Radius : 4 inches Angle =135°

Q: If t is in years, and t = 0 is January 1, 2005, worldwide energy consumption, r, in quadrillion…

A: We need to solve integral porblem.

Q: y=√√√5-√x

Q: Use the ratio test to determine whether Σ n=10 converges or diverges. n(-3)n n!

Q: dx 5. Evaluate the following tanº(x) cos4(x) tan'(x) [7tan²(x) +9] + C 36 tan(x) + =tan(x) + C…

Q: Choose ALL of the following intervals on which the following function is continuous. 2-4 f(x) = 2²²6…

Q: d d [ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiatin dt Calculate the product directly and…

Q: y'+2y/x=x, y(1)=2, y(2) using h=0.1

A: given :y'+2yx=xy(1)=2, y(2) using h=0.1

Q: For the function f(x) = 42² +5z, evaluate and simplify. f(x+h)-f(x) h ƒ(z) .

A: Given, f(x)=4x2+5x

Q: Q2: find dw/dt at given value point for the following function 1 1) w = x² + y², x = cos(t), y =…

Q: How many times will you perform integration by parts to evaluate sin (Inx) dx? A 4 (B 2 1 3

Q: Test the series for convergence or divergence. n 6n n=1 Use the Select and evaluate: lim n→∞…

Q: Use the method of Lagrange multipliers to maximize the function subject to the given constraint.…

A: we have to find the point (x, y)

Q: Calculate the derivative. y = x4 - 4 x² 5 (Give an exact answer. Use symbolic notation and fractions…

Q: 2x+1 x²-7x+12 S -dx

A: At first, we will do partial fraction then we will do integration

Q: Suppose that $2000 is placed in a savings account at an annual rate of 4.2%, compounded monthly.…

Q: Given the price-supply function p = S(x) = 10(e0.02x - 1), find the average price (in dollars) over…

Q: Which of the following is the inverse of f(x)=√x²-4? 2 ƒ˜¹(x)=√√√x² − 4 ƒ-¹(x)=x-2 - Option 1 O…

Question

Find the average value of the function over the given interval and all values of x in the interval for
which the function equals its average value
1. f(x) = 9x², [-3, 3]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let f(x)=1x . Find a number c such that the average rate of change of the functionfon the interval (1,c) is 14
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.
Let f(x)=1x . Find the number b such that the average rate of change off on the interval (2,b) is 110 .
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and y=5, then z=28.
For the following exercises, find the average rate of change of each function on the interval specified for real numbers b or h in simplest form. 13. j(x)=3x3on[1,1+h]
Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value. f(x) = 4x3 − 3x2 , [0, 1]
Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value.. f(x) = x3, [0, 2]