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A surveyor measures the top of a building. The top of the building is 50 ft away from his angle-measuring device. His angle-measuring device is 4 ft above ground. The angle of elevation to the top of the building is 63 degrees. How tall is the building?
Suppose that the cost function for a certain product is c=f(q). If the relative rate of change of c (with respect to q)is 1/q, prove that the marginal-cost function and the average-cost function are eaqual.
If the current levels of input are x = 10 and y = 20, use calculus to estimate the change in input y that should be made to offset an increase of 0.5 in input x so that output will be maintained at its current level.
Suppose that Ford's performance scores really are Normally distributed. This year, managers with scores less than 31 received C's and those with scores above 595 received A's. What are the mean and standard deviation of the scores?
An office supply company sells x mechanical pencils per year at $p per pencil. The demand equation for these pencils is p=10-0.001x. The total annual cost of manufacturing x mechanical pencils is C(x)=5000+2x.
Let S = {1,2,3,4,5,6,7,8}. Determine: The number of subsets of S. The number of subsets of S with at most four elements
Let U = {60 Minutes, American Idol-Tues., American Idol-Wed., CSI, CSI: Miami, Desperate Housewives, Friends, Grey's Anatomy, Law & Order, The Apprentice}. Construct a Venn diagram illustrating the sets.
Using row operations, determine if the following set of equations has a solution:
Compute the test value
Finding the probability repeats in finite sequences. What is the probability that out of 3 people, 2 were born in the same month.
Use cylindrical shells to find the volume V of the solid.
Use a triple integral and an appropriate change of coordinates to calculate the volume of the region bounded by the xy -plane, the surface z = x^2 + y^2 and the cylinder over x^2/9 + y^2/4 = 1 .
A certain strain of virus grows in numbers at the rate of 50% per hour. If it's present population is 343,000 what will be its population count in 5 hours?
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