Two posts, one 10 ft tall and other 20 ft tall, are set 30 feet apart from one another. a guy wire, used to stabilize the posts, is staked to the ground at some point between them. express the length of the wire as a function of x, the distance between the stake and the shorter post ? ?

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?