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Question: Solve the given problems.
An FM radio station emits a signal that is clear within 85 km of the transmitting tower. Can a clear signal be received at a home 68 km west and 58 km south of the tower?
The metal used to make the top and bottom of a cylindrical can costs 4 cents/in^2, while the metal used for the sides costs 2 cents/in^2. The volume of the can is to be exactly 100 in^3. What should the dimensions of the can be to minimize the c..
Find a vector function that represents the curve that is the intersection of the cylinder x2 + y2 = 1 and the hyperboloid z = x2 +y2.
Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=4x-x^2 about the x-axis over the interval [0,4].
The measure of five angles of a hexagon are 137, 147, 103, 90, 118. What is the measure of the sixth angle?
Denote the ball trajectory, r(t) = hx(t), y(t)i, wth respect to time, t. Assuming that t = 0 corresponds to the instant when the ball leaves the bat, what are x(t) and y(t)? Is it a home run? Does the ball clear the fence?
The A Company has decided to acquire a piece of equipment but has not yet decided to buy or to lease. At the end of year four, the equipment will be sold for $50,000. Assume the company's tax rate is 40%. Compare the option of buying and leasing to..
Explain the concept of inverse variation. Provide two examples. What is the vertical asymptote for the function y = ( x^2 - 4) / ( x - 2 )?
Describe what is meant by deductive reasoning. Give an example of how you might use deductive reasoning in the "real world.Please respond to at least one peer.
A skirt and a blouse together cost $ 81. The skirt cost $ 7 more than the blouse. Set up a linear equation and then solve. Show work.
Prove that ab has order 6 by showing none of (ab) 2 , (ab) 3 , . . . , (ab) 5 are equal to e, but (ab) 6 = e. Given an example of a group and elements a and b such that a has order 3, b has order 2, and bab-1= a-1.
Kara's custom tees experienced fixed costs of $200 and variable costs of $5 a shirt. Write an equation that can be used to determine the total expenses encountered by Kara's Custom Tees.
How many revolutions will the graph of the circular helix r(t)=acosti + asintj + 0.2tk make in a distance of 10 units measured along the z-axis?
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