Concept explainers
(a)
f(x) if the graph of f is tangent to the line at the point [0, -5].
(a)
Answer to Problem 4QQ
Function of x:
Explanation of Solution
Given information:
f be a function
Such that
f is tangent to the line
Tangent line to be rewritten in slope − intercept form:
Subtract 4x from both sides:
Divide both sides by -1:
Since the graph of f(x) is tangent to the line
Then
And
Now,
Find
Where,
C1is constant
Now,
Substitute
Thus,
Then
The first derivative becomes
Now,
Find f by finding the anti-derivative of
Where,
C2is constant
Substitute
Thus,
Therefore,
The function becomes
(b)
Average value of f(x) on the closed interval [-1, 1].
(b)
Answer to Problem 4QQ
Average value of f(x):
Explanation of Solution
Given information:
f be a function
Such that
On closed interval [-1, 1]:
Average value,
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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