t A ball is thrown upward with an initial velocity of pa : 35%. Ignore wind resistance and horizontal motion dft 2030 Joe Gmber a. What is the maximum height the ball reaches in ft? b. If the ball lands on a platform that is d : 11ft higher than it was thrown from. How long (in seconds) is the ball in the air? if c. What is the minimum required initial velocity (in f? )for the ball to reach the height of the platform? Consider the following initial-value problem. 31': 6m+2, y(0) = 3 Use Euler's method with n = 4 steps of size h = 0.25 to approximate y(1). (In other words, find y4.) 9(1) s Use Euler's method with step size 0.4 to estimate y(2), where y(@) is the solution of the initial-value problem y' = - 4x + 2, y (0) = 1. y ( 2 )\f. dy Solve the initial value problem E = y(1 y) , y(0) = 4. Write answer as a formula in the variable t. v Hint: Use partial fractions. In particular note that: y(1y) Find the conic equation which satisfies the separable differential equation _ 14:I: dm y with the initial condition y(1) = 4