4. The path of a baseball relative to the ground can be modelled by the function d(t) = – f + 8t + 1, where d(t) represents the height of the ball in metres, and t represents time in seconds. a. Find the average rate of change of the ball between 1 and 3 seconds. b. Using the secant method, find the instantaneous rate of change at 2 seconds.

Q: 7. Find the average rate of change for the function f(x) = 24x' - 36x - 528x – 1260 over-25x54.

A:

Q: Find the area "under" v7(t) on the interval [6,9]. What does your answer tell us about Mr. Goza?

A:

Q: Problem: After being built, a car must be painted. The revenue, R, in dollars when x cars are…

A:

Q: 4. A penny is dropped from the top of the tallest radio tower in the U.S., the KVLY-TV tower in…

A: Here we use derivatives to solve this problem.

Q: The population P (in millions) of microbes in a contaminated water supply can be modeled by P = (t -…

A: The population P of microbes  P=(t-12)(3t2-20t)+250 where t is measured in hours  Find the rate of…

Q: 4. Find the average rate of change (slope) of the function 2 from x = 1 to x = 3: f(x) <= x 3x - X 1…

A:

Q: How would one go about finding the average rate of change and net change for a function such as: 3…

A: Given, function

Q: 3. The position of an object that is moving along a straight line at t seconds is given by s(t) :…

A: This is a problem of dynamics.

Q: Find the velocity of an object at 4 seconds give the function s(t)=.25t

A: We have to find the velocity of an object at 4 seconds give the function s(t) = 0.25t

Q: Problem: After being built, a car must be painted. The revenue, R, in dollars, when x cars are…

A: Given revenue function is  R(x)=1000x-0.01x2

Q: A weight is suspended on a spring and set in motion such that it bobs up and down vertically. The…

A:

Exponential Growth Model

The relation that represents an exponential function is: