Find the answer A boat is pulled by a winch on a dock, and the winch is 12 feet above the deck of the boat (see figure). The winch pulls the rope at a rate of 4 feet per second. Find the speed of the boat when 15 feet of rope isout. What happens to the speed of the boat as it gets closer and closer to the dock?STEP 1:STEP 3:STEP 4:12 tSTEP 2: Differentiate the equation with respect to x and y.dx2x.dtNot drawn to scaleLet x be the distance from the boat to the dock and y be the length of the rope. Write the original equation.12² + x² =dxdtdxdt114 ft/sec==Solve for dx/dt (in ft/sec) by substituting the values for x, y, and dy/dt. (Round your answer for dx/dt to one decimal place.)dx15dt-(-4)ft/secdydtdydt---Select---State the appropriate conclusion.As x → 0,dxdtO.

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A boat is pulled by a winch on a dock, and the winch is 12 feet above the deck of the boat (see figure). The winch pulls the rope at a rate of 4 feet per second. Find the speed of the boat when 15 feet of rope is out. What happens to the speed of the boat as it gets closer and closer to the dock? STEP 1: STEP 2: STEP 4: 2x Let x be the distance from the boat to the dock and y be the length of the rope. Write the original equation. 12² + x² = Differentiate the equation with respect to x and y. dx dt dx 99 99 는 dx dt dt 12 dt dx Not draws to scale STEP 3: Solve for dx/dt (in ft/sec) by substituting the values for x, y, and dy/dt. (Round your answer for dx/dt to one decimal place.) 15 -(-4) 114 ft/sec = = = = ft/sec dy dt dy dt ---Select--- State the appropriate conclusion. As x → 0, dx dt 8

A boat is pulled by a winch on a dock, and the winch is 12 feet above the deck of the boat (see figure). The winch pulls the rope at a rate of 4 feet per second. Find the speed of the boat when 15 feet of rope is out. What happens to the speed of the boat as it gets closer and closer to the dock? STEP 1: STEP 2: STEP 4: 2x Let x be the distance from the boat to the dock and y be the length of the rope. Write the original equation. 12² + x² = Differentiate the equation with respect to x and y. dx dt dx 99 99 는 dx dt dt 12 dt dx Not draws to scale STEP 3: Solve for dx/dt (in ft/sec) by substituting the values for x, y, and dy/dt. (Round your answer for dx/dt to one decimal place.) 15 -(-4) 114 ft/sec = = = = ft/sec dy dt dy dt ---Select--- State the appropriate conclusion. As x → 0, dx dt 8

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter21: Direct And Inverse Proportions

Section: Chapter Questions

Problem 15A: Of two gears that mesh, the one that has the greater number of teeth is called the gear, and the one...

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