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A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is increasing at the rate of 6.4 feet per second. Find a function, r(t), for the radius in terms of t. Find a function, A(r), for the area of the ripple in terms of r.Find (A*r)(t)
Find the mean and the standard deviation for these data.
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multiple choice question from probability and set language.choose the one alternative that best completes the statement
Using one proportion Z test to determine
Explain why the system has a unique solution.
Use mathematical induction to prove that 2-2*7+2*7^2-.....+2(-7)^n=(1-(-7)^n+1)/4 whenever n is a nonnegative integer. Show that 1^3+2^2+....n^3=[n(n+1)/2]^2 whenever n is a positive integer.
Let G be a group of order n and suppose that G has 2^(n-1) subgroups. Show that G = or G is isomorphic to Z2 . You may use the fact that a set of k elements has 2^k subsets.
a) Give the third-order MacLaurin polynomial P3(x)for the function f(x)=1/(2+x)
The Rent-A-C.4 car rental company allows its customers to pick up a rental car at one location and return it to any of its locations. Currently, two locations (1 and 2) ilave 1 6 and 18 smplus cars, respectively, and four locations (3, 9, 5, and 6) e..
A man at point A on the shore of a circular lake of radius 1 mi wants to reach the opposite point C as soon as possible. He can walk 6mi/h and row his boat 3mi/h. At what angle theta to the diameter should he row?
A Chemist needs 100 milliliters of a 76% solution but has only 55% and 85% solutions available. Find how many milliliters of each that should me mixed to get the desired soultion?
On Friday, a local hamburger shop sold a combined total 444 of hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?
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