'11 Fido 21:38 52% A eclass.srv.ualberta.ca Worksheet 9 Due: Friday, December 1st, 2017 at 9:00 p.m. Math 114 Fall 2017 1. Find the length of the shortest ladder that can extend from a vertical wall, over fence of 8 ft high located 1 ft away from the wall, to a point on the ground outside the fence. 10pl 2. An object is thrown upward with a speed of 8 m/s from the roof of a building 10 m high. It rises and then falls back until it strikes the ground. (a) What is the greatest height above the ground that the object attains? (b) With what speed does the object strike the ground? (Notice that an object near the surface of the earth is subject to a gravitational fore which produces a downward acceleration which may be assmmed to be constant, of value g = 98 /82.) 5p+5p 3. Use Definition 2, Section 5.1 from your textbook to find an expression for the area of the region under the curve y-F(x)--r above the segment [,2] as a limit and then evaluate the limit