I am studying for a test I have tomorrow, this is one of the example problems that will be one the test, can you show the equations used in this problem answer and then explain. Can you also show how to make the graph and how changing something in the question will effected it as an example. Question 3 (15 points): Consider the following function f(x) = √x, on 0 ≤ x ≤4.(a) (9 points) Find the average value of f.(b) (6 points) Sketch the graph off and a rectangle whose area is the same as the areaunder the graph off. Indicate the height of the rectangle.Solution:(a)fave1=4-0√ √x dx(b)=6152525use6 points-- 3 points•6 points

The formula for the average value of f(x) within the interval a≤x≤b is: fave=b−a1∫abf(x)dxHere,…

Question 3 (15 points): Consider the following function f(x) = √x, on 0 ≤ x ≤4. (a) (9 points) Find the average value of f. (b) (6 points) Sketch the graph off and a rectangle whose area is the same as the area under the graph off. Indicate the height of the rectangle. Solution: (a) fave 1 = 4-0√ √x dx (b) = 6 15 25 25 use 6 points -- 3 points • 6 points

Question 3 (15 points): Consider the following function f(x) = √x, on 0 ≤ x ≤4. (a) (9 points) Find the average value of f. (b) (6 points) Sketch the graph off and a rectangle whose area is the same as the area under the graph off. Indicate the height of the rectangle. Solution: (a) fave 1 = 4-0√ √x dx (b) = 6 15 25 25 use 6 points -- 3 points • 6 points

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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