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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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 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
Transcribed Image Text: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
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