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mathematics
may 2018
12

Mathematics Questions and Answers May 12, 2018

Expert-verified solutions to help you succeed

1 . Find the following limits algebraically. For full credit, make sure to show all necessary algebraic steps to prove your solutions is correct. If any of the limits do not exist, explain how you can tell that they do not exist. ( a ) lim x 5 + ( x + 7 ) | x + 5 |

Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A . Integral from 4 to 1 0 6 x left parenthesis 8 minus x right parenthesis dx equals 4 1 0 6 x ( 8 x ) dx = 1 4 4 1 4 4 ( Simplify your answer. Type an exact answer, using radicals as needed. ) B . The integral cannot be calculated using the given

A manufacturer of solar heaters finds that when x units are made and sold, the profit ( in thousands of dollars ) is given by x ^ 2 - 5 0 x - 5 0 0 0 . For what values of x will the firm show a loss?

Find an equation for the tangent line to the following curve, h ( x ) = 1 7 x 5 ln x at the point where x = e .

Use the method of Lagrange multipliers to solve this exercise.Hercules Films is deciding on the price of the video release of its film Son of Frankenstein. Its marketing people estimate that at a price of p dollars, it can sell a total of q = 4 9 4 , 0 0 0 - 1 3 , 0 0 0 p copies. What price will bring in the greatest revenue? P = $

M 1 , n : Z = x 1 4 + 2 x 2 2 a ) Use geometric andysis determine fosible region's a Convex set. s . t x 1 2 + x 2 2 2

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