a.
To identify: Whether the statement is true or not “ g is the differentiable function of x ”. It is given that
a.
Answer to Problem 48RE
The given statement is True.
Explanation of Solution
Given information:
The given integral is
Consider the given
It is given that
Now differentiate the given function.
It is given that
Yes,
b.
To identify: Whether the statement is true or not “ g is continuous function of x ”. It is given that
b.
Answer to Problem 48RE
The given statement is True.
Explanation of Solution
Given information:
The given integral is
Consider the given Integral.
From part (a) it is known that
Yes, g is continuous function of x .
c.
To identify: Whether the statement is true or not “The graph of g has a horizontal tangent line at
c.
Answer to Problem 48RE
The given statement is True.
Explanation of Solution
Given information:
The given integral is
Consider the given Integral.
Horizontal tangent line means
From part (a) it is known that
Also, it is given that
Thus, the graph of g has a horizontal tangent line at
Yes, the graph of g has a horizontal tangent line at
d.
To identify: Whether the statement is true or not “ g has a
d.
Answer to Problem 48RE
The given statement is False.
Explanation of Solution
Given information:
The given integral is
Consider the given Integral.
From part (a) it is known that
Thus,
Thus, the given statement is False.
e.
To identify: Whether the statement is true or not “ g has a
e.
Answer to Problem 48RE
The given statement is True.
Explanation of Solution
Given information:
The given integral is
Consider the given Integral.
From part (a) it is known that
Thus,
At
The given statement is True.
f.
To identify: Whether the statement is true or not “The graph of g has an inflation point at
f.
Answer to Problem 48RE
The given statement is False.
Explanation of Solution
Given information:
The given integral is
Consider the given Integral.
From part (a) it is known that
Since, at
The given statement is False.
g.
To identify: Whether the statement is true or not “The graph of
g.
Answer to Problem 48RE
The given statement is True.
Explanation of Solution
Given information:
The given integral is
Consider the given Integral.
From part (a) it is known that
The given statement is True.
Chapter 5 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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