(a)
To show: The given function is a solution of initial value problem.
(a)
Answer to Problem 57E
The given function is a solution of initial value problem has been showed.
Explanation of Solution
Given:
The mass of a body is m and the velocity is v.
Calculation:
The differential equation
Solve the left hand side of the equation first:
Now, solve the right hand side of the equation:
Since, both lest hand side and the right hand side of the equation becomes equal. Hence, it can be said that The differential equation
Conclusion:
The given function is a solution of initial value problem has been showed.
(b)
The body limiting velocity.
(b)
Answer to Problem 57E
The body limiting velocity is
Explanation of Solution
Given:
The mass of a body is m and the velocity is v.
Calculation:
Conclusion:
The body limiting velocity is
(c)
Diver’s limiting velocity in feet per second and in miles per hour.
(c)
Answer to Problem 57E
Diver’s limiting velocity in feet per second is
Explanation of Solution
Given:
Diver’s mass is
Calculation:
Conclusion:
Diver’s limiting velocity in feet per second is
Chapter 6 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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