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211 912018 Section 2.5 3. 0/2 points | Wrcalcll 2.6.015. All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume changing when each edge is 1 centimeter(s)? l:| ems/sec (b) How fast is the volume changing when each edge is 14 centimeters? l:| my... Need Help? 4. f5 polntsLarCalcll 2.6.021. A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (a) What is the velocity of the top of the ladder when the base is given below? 15 feet away from the wall |:| Wsec 20 feet away from the wall |:| Wsec 24 feet away from the wall l:| ruse: (b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at which the area of the triangle ls changing when the base of the ladder Is 20 feet from the wall. l:| 1.2,... (c) Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 20 feet from the wall. Ema/sec Need Help? hltpimmmebassign.netlweblSludentlAssignmentResponsesasdep=1801$341103 2l5 211 912018 Section 2.5 5. 4.4/4 points | WBQICII 2.6.024. A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. (a) The winch pulls in rape at a rate of 4 feet per second. Determine the speed of the boat when there is 20 feet of rope out. $$5 J ft/sec What happens to the speed of the boat as it gets closer to the clock? The speed of the boat a increases as it approaches the dock. (b) Suppose the boat is moving at a constant rate of 4 feet per second. Determine the speed at which the winch pulls in rope when there is a total of 20 feet of rope out. $$165 15 gr 5 Pc/sec What happens to the speed at which the winch pulls in rope as the boat gets closer to the clock? The speed at which the winch pulls in rope approaches 0 1' approaches 0 . Need Help? __ ' ' hpimmrmebassign.netlweblSIudentiAssignmentResponseeasdep=18013?34#Q 3I5 211912018 6. 0/1 points | Wrcalcll 2.6.017.MI. At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8 cubic feet per mlnute. The dlameter of the base of the cone is approxlmately three times the altltude. At what rate is the height of the pile changing when the pile is 22 feet high? (Hint: The formula for the volume of a cone is V = nrzh.) h' = ft/min Need Help? 1. I1 poinISLarCalcll 2.6.027. A baseball diamond has the shape of a square with sides 90 feet long (see gure). A player running from second base to third base at a speed of 27 feet per second is 29 feet from third base. At what rate is the player's distance from home plate changing? (Round your answer to two decimal places.) Need Help? hpimmrmebassign.netlweblSIudantiAssignmentResponsesasdep=18013?34#Q 4J5 211 912018 Section 2.5 B. 0/3 points | Wrcalcll 2.6.042. An airplane ies at an altitude of y = 4 miles toward a point directly over an observer (see gure). The speed of the plane is 400 miles per hour. Find the rates (In radlans per hour) at which the angle of elevation 6 is changing when the angle is 6 = 45, 6 = 60, and 6 = 70. (b) 6 = 60 Ema/hr (c) 9 = 70" (Round your answer to two decimal places.) Emu/hr Need Help? hpimmrmebassign.netlweblSIudentiAssignmentResponsesasdep=18013?34#Q 5'5