Problem 1E: For the following exercises, find the quantities for the given equation. 1. Find dydt at x=1 and... Problem 2E: For the following exercises, find the quantities for the given equation. 2. Find dxdt at x=2 and... Problem 3E: For the following exercises, find the quantities for the given equation. Find dzdt at (x, y) = (1,... Problem 4E: For the following exercises, sketch the situation if necessary and used related rates to solve for... Problem 5E: For the following exercises, sketch the situation if necessary and used related rates to solve for... Problem 6E: A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1... Problem 7E: Two airplanes are flying in the air at the same height: airplane A is flying east at 250 mi/h and... Problem 8E: You and a friend are riding your bikes to a restaurant that you think is east; your friend thinks... Problem 9E: Two buses are driving along parallel freeways that are 5 mi apart, one heading east and the other... Problem 10E: A 6-ft-tall person walks away from a 10-ft lamppost at a constant rate of 3 ft/sec. What is the rate... Problem 11E: Using the previous problem, what is the rate at which the tip of the shadow moves away from the... Problem 12E: A 5-ft-tall person walks toward a wall at a rate of 2 ft/ sec. A spotlight is located on the ground... Problem 13E: Using the previous problem, what is the rate at which the shadow changes when the person is 10 ft... Problem 14E: A helicopter starting on the ground is rising directly into the air at a rate of 25 ft/sec. You are... Problem 15E: Using the previous problem, what is the rate at which the distance between you and the helicopter is... Problem 16E: For the following exercises, draw and label diagrams to help solve the related-rates problems. 16.... Problem 17E: For the following exercises, draw and label diagrams to help solve the related-rates problems. 17.... Problem 18E: For the following exercises, draw and label diagrams to help solve the related-rates problems. 18.... Problem 19E: For the following exercises, draw and label diagrams to help solve the related-rates problems. 19.... Problem 20E: For the following exercises, draw and label diagrams to help solve the related-rates problems. 20.... Problem 21E: For the following exercises, draw and label diagrams to help solve the related-rates problems. 21.... Problem 22E: For the following exercises, draw and label diagrams to help solve the related-rates problems. 22.... Problem 23E: For the following exercises, draw and label diagrams to help solve the related-rates problems. 23. A... Problem 24E: For the following exercises, draw and label diagrams to help solve the related-rates problems. 24. A... Problem 25E: For the following exercises, consider a tight cone that is leaking water. The dimensions of die... Problem 26E: For the following exercises, consider a right cone that is leaking water. The dimensions of the... Problem 27E: For the following exercises, consider a right cone that is leaking water. The dimensions of the... Problem 28E: For the following exercises, consider a tight cone that is leaking water. The dimensions of die... Problem 29E: For the following exercises, consider a right cone that is leaking water. The dimensions of the... Problem 30E: A trough has ends shaped like isosceles triangles, with width 3 m and height 4 m, and the trough is... Problem 31E: A tank is shaped like an upside-down square pyramid, with base of 4 m by 4 m and a height of 12 m... Problem 32E: For the following problems, consider a pool shaped like the bottom half of a sphere, that is being... Problem 33E: For the following problems, consider a pool shaped like the bottom half of a sphere, that is being... Problem 34E: For the following problems, consider a pool shaped like the bottom half of a sphere, that is being... Problem 35E: For the following problems, consider a pool shaped like the bottom half of a sphere, that is being... Problem 36E: For the following problems, consider a pool shaped like the bottom half of a sphere, that is being... Problem 37E: For the following exercises, draw the situations and solve the related-rate problems. 37. You are... Problem 38E: For the following exercises, draw the situations and solve the related-rate problems. 38. You stand... Problem 39E: A lighthouse, L, is on an island 4 mi away from the closest point, P, on the beach (see the... Problem 40E: Using the same setup as the previous problem, determine at what rate the beam of light moves across... Problem 41E: You are walking to a bus stop at a right-angle corner. You move north at a rate of 2 m/sec and are... Problem 42E: [T] A batter hits a ball toward third base at 75 ft/sec and runs toward first base at a rate of 24... Problem 43E: [T] A batter hits a ball toward second base at 80 ft/sec and runs toward first base at a rate of 30... Problem 44E: [T] A batter hits the ball and runs toward first base at a speed of 22 ft/sec. At what rate does the... Problem 45E: Runners start at first and second base. When the baseball is hit, the runner at first base runs at a... format_list_bulleted