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The volume v and paper surface area a of a conical paper cup are given by where r is the radius of the base of the cone and h is the height of the cone. a. by eliminating h, obtain the expression for a as a function of r and v. b. create a user-de ned function that accepts r as the only argument and computes a for a given value of v. declare v to be global within the function. c. for v ! 10 in.3 , use the function with the fminbnd function to compute the value of r that minimizes the area a. what is the corresponding value of the height h? investigate the sensitivity of the solution by plotting v versus r. how much can r vary about its optimal value before the area increases 10 percent above its minimum value?

The guy wire bd exerts on the telephone pole ac a force p directed along bd. knowing the p must have a 720-n component perpendicular to the pole ac, determine the magnitude of force p and its component along line ac.

Fall protection, confined space entry procedures, controlled noise levels, and protection from chemical hazards are some of the things that contribute to a safe and