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Find an equation for each of the following trig functions:(a)A sine function that has maximum values of 6 and minimum values of -6 and x-intercepts at multiples of 5 pi. (b) A tangent function that has vertical asymptotes every 6 units (not multiples of pi!) (c) Middle C has a frequency of 256 cycles per second. If the sound has an amplitude of 10, find a cosine function that models this.
Three balls are to be randomly selected with replacement from an urn containing 20 balls numbered 1 through 20. If we bet that at least one of the drawn balls
Assume that the i component of the derivative of a vector function r(t) is 0 for all t in the domain of the function. What does this imply about the graph of r?
From a total of 15 people, three committees consisting of 3, 4, and 5 people, respectively, are to be chosen. How many such sets of committees are possible if there is no restriction on the number of committees on which a person may serve?
It takes 3 seconds to flip a sandwich and 5 seconds to take one off or put one on the grill. What is the shortest amount of time needed to toast all 5 sandwiches?
Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five. Set up a system of linear equations to represent the two angles.
Two tracking stations are on the equator 119 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and a bearing of N 22°E from the eastern station. How far, to the nearest mile, is the balloon from the western ..
A poster is to have an area of 180 in2 with 2 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area?
Shane invests $38,000 in bonds that earn simple interest of 3%. The interest is payable at the maturity of the bonds after 5 years. Find the total amount that Shane will receive at the end of 5 years.
A is the amount of material remaining from an initial amount I at a given time t and k is negative constant determined by the nature of the material.
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
Test at the 1% level of significance, whether the two population proportions are significantly different. Formulate and test the appropriate hypotheses. Use the critical value approach.
How much can be saved by borrowing the funds for 30 days to take advantage of the cash discount? (Remember, Suite Dreams must borrow only the net amount due after the cash discount is taken.)
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