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From Rogawski ET section 6.5, exercise 13.
Calculate the work against gravity required to build a tower of height 70 ft in the shape of a right circular cone with base of radius 14 ft out of brick. Assume that brick has density.
fixed axis has an angular position given by theta = 3.0 - 2.0t3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
The equation y = 1.13x + 7.85 represents the average monthly cost in dollars for cable television where x represents the number of years after 1980. Use this equation to answer the following questions.
A hemisphere of radius 7 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
A spherical weather balloon is being inflated. Beginning at 24 cm, the radius of the balloon is increasing at the rate of 4 cm per second. Express the surface area of the balloon as a function of time (in seconds). If needed you can enter as pi. (..
As of December 31, 2010, Walton Corporation had a current ratio of 1.84, quick ratio of 1.45, and working capital of $18,000. The company uses a perpetual inventory system and sells merchandise for more than it cost.
The Walsh Family has decided to drive to Walt Disney World, in Orlando Florida, for their summer vacation. They will drive 260 miles in 4 hours. Write a direct variation equation to find the distance driven for any number of hours.
The Jacksons plan a 3-Week trip with a budget of $600 for renting a car. Car rental rates are $135/week plus $0.17/km. Write a formula to show the number of kilometers the Jacksons can travel.
a rock is dropped into a pond and causes a ripple, find the rate of the area of the ripple when the radius is 4.
If H and K are subgroup of G, with K a normal subgroup of G, K intersect H=1 and KH=G, then G is called a semidirect product (or split extention) of K by H.
Find the Fourier Transform ^U(k; t) of the solution U(x; t) of the heat equation
Use the binomial approximation to calculate the probability of accepting the batch of tiles for various values of the proportion of cracked tiles p. Draw the operating characteristic curve.
The input consists of two arrays each representing a set of integers (in each array, each value appears only once). The output is an array representing the union of the two sets - again, each value appears only once.
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