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We might think that a ball that is dropped from a height of 15 feet and rebounds to a height 5/8 of its previous height at each bounce keeps bouncing forever since it takes infinitely many bounces. This is not true! We examine this idea in this problem.
Show that a ball dropped from a height h feet reaches the floor in ¼ √h seconds. Then use tins result to fmd the tune, in seconds, the ball has been bouncing when it hits the floor for the first, second, third and fourth times:
How long, in seconds, has the ball been bouncing when it hits the floor for the 71th time (find a closed form expression)?
What is the total time that the ball bounces?
Determine the width of a river that flows due east, if the surveyor finds that a tree on the opposite bank had a bearing of 22 30 E from a certain point and bearing N 15 W from a point 400 feet downstream.
Make a ninety percent confidence interval for the proportion.
Find the area of the "triangular" region in the first quadrant bounded on the left by the y-axis and on the right by the curves y
The graph of f' (the derivative of f) is shown below. At what value of x does the graph of f(x) change from increasing to decreasing? You may assume that the x-intercepts all intergers.
A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume. Assume cross section is square.
If the graph of x2 + y2 = 9 is horizontally compressed by a factor of 1/4, and then reflected in the y-axis, determine an equation for the new graph.
1. the distribution of the weights of the packages received by a parcel service is normal. nine packages are randomly
Given the sample statistics, which level of confidence will produce the narrowest results?
Describe the four models of democracy. Tell which one you think most closely resembles today's model in America. Which model do you prefer, and why?
An auto manufacturer has 3 different subcompact cars in the line. Customers selecting one of these cars have a choice of 3 engine sizes, 4 body styles, and 3 color schemes. How many different selections can a customer make?
a student is randomly selected from a group of elementary school students. there are 10 six-year old students 12
Linear Programming Model for Maximizing Profit of a Production Schedule, Ms. Olsen, a coffee processor, markets three blends of coffee. They are Brand X, Minim and Taster's Reject. Ms. Olsen uses two types of coffee beans
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