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Use rules of differentiation to find the derivative of the following functions:
(Please show each step in the process, using the FG'+F'G or FG'-F'G/G^2 formula)
a.) f(x)= 2/(sq root(x^2)+5)
b.) f(x)= sin^2 (x^3+1)
A ball drops from a height of 23 feet. Each time it hits the ground, it bounces up 65 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
What authorities should security professionals consult to determine the extent to which they need to respect employee privacy during searches for stolen company property?
Find a calculator window in which the graphs of f(x) = x3 + 1000x2 + 1000 and g(x) = x3 - 1000x2 - 1000 appear in distinguishable.
If the club has 40 tables and takes 43 reservations, what is the probability that it will be able to accommodate everyone appearing
Use the information about the Statue of Liberty on page 88 to explain how equations are used to describe heights. Include an equation relating the heights of the Sears Tower, which is 1454 feet tall, the two antenna towers on top of the building, ..
Compare the time that an average customer spends waiting in line for both Tom and Jane. Compare the utilization rates for both Tom and Jane.
1. Your company owns a chain of convenience stores. One of your guards witnesses a car jacking. The stolen vehicle contains a 3 year old child riding in a car seat in the back. Having had similar experiences at other locations, you provide the fol..
A survey taken over a week has inspected 200 fish in a lake and found that 87 were man-eating guppies.
The problem is: A car accelerates from 0mph to 60mph. Its velocity at time t is v(t)=8tmph where t is in seconds. Use an integral to find the total distance in miles it travels during its acceleration.
A water pumping station is to be built on a river at point in order to deliver water to points A and B. See Fig.
a) Write the ordered pairs represented by the information given in the statement above and find the slope of the line through them.
if fx ax - hsup2 k explain how the values of a h and k affect the graph of the function. provide an equation with
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