(a)
To find : How fast is the top of the ladder sliding down at the moment.
(a)
Answer to Problem 19E
The answer:
Explanation of Solution
Given information:
The time the base is
The base is moving at the rate of
And the graph is:
Calculation:
Pythagorean Theorem
Let,
Put the given values and simplify:
Therefore the required
(b)
To find: The rate is the area of the triangle from by ladder wall and ground changing at the moment.
(b)
Answer to Problem 19E
The answer:
Explanation of Solution
Given information:
The time the base is
The base is moving at the rate of
And the graph is:
Calculation:
Used
Therefore the required rate is the area of the triangle from by ladder wall and ground changing at the moment is
(c)
To find: The rate of the
(c)
Answer to Problem 19E
The answer:
Explanation of Solution
Given information:
The time the base is
The base is moving at the rate of
And the graph is:
Calculation:
Consider the derivative: Be sure to follow the chain rule.
Therefore the required rate of the
Chapter 4 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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