Part III. Application problems Oill in the Blanks: Directions: Read each question carefully, and then WRITE THE ANSWER t

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Part Iii Application Problems Oill In The Blanks Directions Read Each Question Carefully And Then Write The Answer T 1 (59.22 KiB) Viewed 44 times

Part III. Application problems Oill in the Blanks: Directions: Read each question carefully, and then WRITE THE ANSWER that best fits the question. 1. The total surface area of a rectangular parallelepiped of square base y on a side and height x is given by S = 2y² + 4xy. If S is constant, find dy/dx. 2. The total surface area of a right circular cylinder of radius r and height h is given by S = 2лr² + 2лrh. If S is constant, find dr/dh. 3. A colony of mosquitoes has an initial population of 1000. After t days, the population is given by A(t) = 1000e0.3t which describes the mosquito population after t days, what is the rate of change of A(t) after 4 days? 4. A particular phone tower is designed to service 12-mile radius. The tower is located at (-3, 5) on a coordinate plane whose units represent miles. a. What is the standard equation of the outer boundary of the region serviced by the tower? b. Is a cell phone at (8, 0) within the service range?