Need help with c and d. Thanks! ConstantsConsider the following function of variable r, for r2 0Part Cy(r) = (r2-425r) expl-r).Find the value of r where y takes its minimum value in the r 2 0 interval.Express your answer to 3 significant figures.View Available Hint(s)SubmitPart DFind the value of r where y takes its maximum value in the r 2 0 interval.Express your answer to 3 significant figures.

Answered: Constants Consider the following…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter4: Nonlinear Oscillations And Chaos

Section: Chapter Questions

Problem 4.14P

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Need help with c and d. Thanks!

Constants
Consider the following function of variable r, for r2 0
Part C
y(r) = (r2-425r) expl-r).
Find the value of r where y takes its minimum value in the r 2 0 interval.
Express your answer to 3 significant figures.
View Available Hint(s)
Submit
Part D
Find the value of r where y takes its maximum value in the r 2 0 interval.
Express your answer to 3 significant figures.

Expert Solution

Step 1

We take the derivative of the function given relative to "r" and then set the derivative equal to zero get the values of "r" where the function has maximum and minimum values.

Step 2

The dervative of the function must be zero at maxima or minima. hence

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