Consider the slope field shown. (a) For the solution that satisfies y(0) = 0, sketch the solution curve and estimate the following: y(1) ≈ and y(−1) ≈[ (b) For the solution that satisfies y(0) = 1, sketch the solution curve and estimate the following: y(0.5) and y(-1) (c) For the solution that satisfies y(0) = -1, sketch the solution curve and estimate the following: y(1) ≈ and y(−1) ≈[ ~

In the next three exercises, interpret x = sin x as a flow on the line. 2.1.1 Find all the fixed points of the flow. 2.1.2 At which points x does the flow have greatest velocity to the right? 2.1.3 a) Find the flow's acceleration x as a function of x. b) Find the points where the flow has maximum positive acceleration.

Consider the function: f(t) =-16t+ 20ot+ 800 reterring to an egg thrown from 80oft. Time, t, is in seconds and height, f(t), is in feet. a. What is the velocity at t=1? b. What is the acceleration at t=4?

Differentitate