Consider the initial value problem y': = If yo<0, then Choose one ▼ If yo= 0, then Choose one ty(4 - y) " 3 a) Determine how the behavior of the solution as t increases depends on the initial value yo. If yo> 0, then Choose one y(0) = T = = yo. b) Suppose that yo= 0.5. Find the time T at which the solution first reaches the value 3.98. NOTE: Round your answer to five decimal places.

is question has several parts that must be completed sequentially. If you skip a part of the question, you will not rec rt, and you will not be able to come back to the skipped part. Tutorial Exercise If a rock is thrown upward on the planet Mars with a velocity of 16 m/s, its height above the ground (in meters) after t seconds is given by H = 16t - 1.86t. (a) Find thevelocity (in m/s) of the rock after 1 second. (b) Find the velocity (in m/s) of the rock when t = a. (c) When (in seconds) will the rock hit the surface? (d) With what velocity (in m/s) will the rock hit the surface? Click here to begin! Need Help? Read It Show My Work (Optional) 3?

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3. Explain two different ways to solve for the derivative of s(0) = -5cote and show all steps for each method. (Hint: They are both similar but require different derivative rules.) a) Method 1 b) Method 2 [C/4] [C/4]