Concept explainers
(a)
To determine the value of
(a)
Answer to Problem 3E
The value of
The value of
The value of
The value of
The value of
Explanation of Solution
Given information:
The integral function is
Calculation:
Show the integral function as below.
Here,
Substitute 0 for x in Equation (1).
Therefore, the
Draw the graph for calculation of
Determine
Substitute 1 for x in Equation (1).
Refer to Figure (1).
Modify Equation (2).
Substitute 1 for b and 2 for h.
Therefore, the
Draw the graph for calculation of
Determine
Substitute 2 for x in Equation (1).
Refer to figure 2.
The area of shaded triangle and rectangle is the function of t with limits 1 to 2.
Substitute
Substitute 1 for b and 2 for h.
Therefore, the
Draw the graph for calculation of
Determine
Substitute 3 for x in Equation (1).
Refer to Figure 3.
The area of shaded triangle is the function of t with limits 2 to 3.
Substitute 5 for
Substitute 1 for b and 4 for h.
Therefore, the
Draw the graph for calculation of
Determine
Refer to Figure 4.
Area of shaded portion is the function of t with limits 5 to 6.
Substitute 2for
Therefore, the
(b)
The interval g.
(b)
Answer to Problem 3E
The function g is increasing at the interval
Explanation of Solution
Given information:
The integral function is
Calculation:
Refer Part (a).
The value of g is increasing from the interval 0 to 3.
Therefore, the function g is increasing at the interval
(c)
The maximum value of g.
(c)
Answer to Problem 3E
The maximum value of g is lies at
Explanation of Solution
Given information:
The integral function is
Calculation:
Refer part (a) calculation
Maximum value of g lies at
Therefore, the maximum value of g lies at
(d)
To sketch: The rough graph of g.
(d)
Explanation of Solution
The graph for function f is shown in Figure 1.
Plot the graph for function f using the calculated values of 0, 2,5,7,3 for the functions
Draw the graph for function of f as in Figure (5).
Chapter 5 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning