A red car is driving along a straight road. A police car is waiting 210 feet...

       

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A red car is driving along a straight road. A police car is waiting 210 feet up the road, but pulled 40 feet off to the side of the road, and tracking the red car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road? The actual speed (along the road) of the red car is NOTE: Round your answer to 3 decimal places. feet per second 0/5 pts 399 Details Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 22 feet high? 1 Recall that the volume of a right circular cone with height h and radius of the base r is given by V = ft. Trh A ladder 17 feet long leans up against a house. The bottom of the ladder starts to slip away from the house at 0.13 feet per second. How fast is the tip of the ladder along the side of the house slipping when the ladder is 7 feet away from the house? (Round to 3 decimal places.) ft sec Consider the angle the bottom of the ladder makes with the ground. How fast is the angle changing (in radians) when the ladder is 7 feet away from the house? (rad) sec Let f (x) = ex a. Find the values of Ay and dy when x changes from 1 to 1.1. b. Find the values of Ay and dy when x changes from 1 to 1.01. c. Compare how well dy estimates Ay in parts a and b. . The radius of a circular disk is stated as 8 inches with a maximum error of 0.05 inch. Use differentials to estimate the maximum error in: a. The circumference of the disk. b. The area of the disk. Find dy dt dy dt 11 at x = 3 if y = 3x - 4 and dx dt -2. A red car is driving along a straight road. A police car is waiting 210 feet up the road, but pulled 40 feet off to the side of the road, and tracking the red car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road? The actual speed (along the road) of the red car is NOTE: Round your answer to 3 decimal places. feet per second 0/5 pts 399 Details Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 22 feet high? 1 Recall that the volume of a right circular cone with height h and radius of the base r is given by V = ft. Trh A ladder 17 feet long leans up against a house. The bottom of the ladder starts to slip away from the house at 0.13 feet per second. How fast is the tip of the ladder along the side of the house slipping when the ladder is 7 feet away from the house? (Round to 3 decimal places.) ft sec Consider the angle the bottom of the ladder makes with the ground. How fast is the angle changing (in radians) when the ladder is 7 feet away from the house? (rad) sec Let f (x) = ex a. Find the values of Ay and dy when x changes from 1 to 1.1. b. Find the values of Ay and dy when x changes from 1 to 1.01. c. Compare how well dy estimates Ay in parts a and b. . The radius of a circular disk is stated as 8 inches with a maximum error of 0.05 inch. Use differentials to estimate the maximum error in: a. The circumference of the disk. b. The area of the disk. Find dy dt dy dt 11 at x = 3 if y = 3x - 4 and dx dt -2.