21. Match the slope field with the differential equation. a. y' = -x/y b. y'=-y/x c. y' = x/y d. y'=y/x

9. Explain why the instantaneous rate of change for g(x) = x' cannot be the same for 2 different values of r. 10. Give an example of two functions whose difference represents one of the functions being reiccted in the J-axis. Show that your functions satisfy the conditions.

II. Solve for the following using local linear approximation and differentials 8. Suppose your bank gives an interest rate of 5% that compounds annually. If you currently have Php 100,000.00 in your account (t and the money in your account is given by M = 10 (1.05)', where a the time in years, what is the rate of change of your money after 5 years assuming you do not withdraw or deposit additional mone- from your account? (Just write the expression, no need to write the numerical value). %3D

17. If P'(t) is the rate a deer population grows per year, write a sentence explaining what P'(t) dt represents. 18. v(t) = t - 3 is the velocity of a particle in cm/sec. Find the distance traveled by the particle in the first four seconds.

Show your complete solution.

Please don't provide handwritten solution ....

find the differential of the given function.

Find the derivative of the following exponential functions: 1. y = e-4x ans. y' = -4e¬4x 2. y = x?e=* ans. y' = xe-*(2 – x) %3D f (z) = e?(sin z + cos z) ans. f'(z) = 2e² cos z %3D 3.

y=x1.5+1/x2.5 find the derivative. I am getting a solution but I'm unsure of how it is x3.5 at the end result.

x2 2y = y2 + y' =? O A. y' 22 O B. y' = OC. y2 y' O D. y' 81ミ