9) The functions = f(t) gives the position of a body moving on a coordinate line, with "s" in meters and "t" in seconds. Find the body's speed and acceleration at the end of the time interval. s = -t3+5t - 4t, 10) Find the absolute extreme values of the function on the interval. 11) Find the absolute extreme values of the function on the interval. g(x) = 3-4x, f(x)=xex,[0,2] 0t6 -2x4 12) A search and rescue airplane is flying in a circle with radius expanding at a rate of 3 mph. At what rate is the search area expanding when the radius is 12 miles? (Answers should be exact.) 13) A 17-foot ladder is leaning against a wall when it begins to slide away from the wall. At what rate is the ladder sliding down the wall when the top of the ladder is at a height of 15 feet and the base of the ladder is slipping away from the wall at a rate of 5ft/sec? 14) A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 20 cubic feet. What are the dimensions that yield the minimum surface area? (Round your answer to the nearest hundredth.) 15) Suppose you are building a fence to enclose a pea patch, but you only have 600 feet of fencing to use. You will use part of this fencing to build a fence across the middle of the rectangle to divide the patch into two sections. Find the length and width of the rectangle that will allow you to have the largest possible pea patch. 16) An object is dropped from 14 ft above the surface of the moon. How long will it take the object to hit the surface of ds dt the moon if == -5.2 ft/sec? (Round to the nearest hundredth.) 17) For each function, determine where the function is increasing and decreasing, find the local minimum(s) and local maximum(s) (if any). Determine where the function is concave up and concave down. Identify any inflection point(s) (if any). Graph the function (Graph does not need to be drawn to scale, BUT you must label ALL points clearly! And concavity must be clearly shown). Hint: Practice SHOWING ALL work! Consider using sign charts to organize your work. a) y=x42x 18) Find the tangent line to the curve: a) y = 2ln(x-3) at the point (4,0) 19) Find the linearization of the function: a) y=x+1 at the point (3,2) b) y = x-2 at the point (1,-1) b) y = x-x-2 c) y=x-12x 4x b) y ex at the point (0,1)