Assignment:
Q1. The graph of y=f(x)=x^2 + 2x is shown in the graph.
i) Find the slope of the secant line joining (2, f(2)) and (4, f(4)).
ii) Find the slope of the secant line joining (2, f(2) and (2+h, f(2+h))
_____ + _____ h
Q2. Suppose an object moves along the y axis so that its locations is y=f(x)=x^2+3x at time x(y is in meters and x is in seconds).
i) Find the average velocity (the average rate of change of y with respect to x) for x from 3 to 4.
Q3. A ball dropped from a balloon falls y=16x^2 feet in x seconds suppose a ballon is 1296 feet above the ground when the ball is dropped.
i) After how many seconds does the ball hit the ground?
Provide complete and step by step solution for the question and show calculations and use formulas.