dy sin(y) - 4t with initial condition y(0) = 2 dt |3D Apply the forward Euler method with a step size of h = 0.3 to approximate the value of the function y(t) at t = 0.3 and t = 0.6. Your calculator should be in radians mode. Show your calculations.

Use the generalized chain rule Question Let f (x, y, z) = 2x² + yz, x = /t, y = t² , and z = ÷. Find when t = 4.

3. At a carnival, there is a single player game called the High Striker. Here is how the game works: • A player takes a mallet and swings it at a target that is located at the base of the High Striker. • For every swing that a player takes, they receive a score that is directly proportional to the force of that swing. • If the player's score on any given swing is greater than y (where y > 0), then the player wins a prize. • A player may swing as many times as they like during the game. • There is no limit on the number of prizes that a player can win during the game. Players are classified as either fit with probability p or unfit with probability 1 – p. Players are also classified as either competitive or non-competitive. A fit player has probability cf of being competitive, whereas an unfit player has probability cu of being competitive. On any given swing, the score received by a fit player follows a U(0, m) distribution, whereas the score received by an unfit player follows a U(0,…

If f(u, v) = 3uv³, find the following. f(3, 1) = fu(3, 1) = %3D f,(3, 1) =