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Solve word problems: a. A triangular trough is 12 feet long with isosceles triangular ends. The base is 2 feet wide, 3 and the trough is 4 feet deep. If water is being pumped into the trough at 4 rate is the height of the water in the trough changing when the height of the water is 8 inches? Imin at what b. At a certain time, a model rocket rising vertically at 60'%s, has a car pass 80 feet directly below it, headed east at 60 mph (88'/s). How fast is the distance between the car and the rocket changing 60 seconds later? c. A camera is positioned 6000 feet from a rocket launching pad. The camera is rigged to always keep focus, and keep the rocket in its sight at all times. Assume that the rocket is moving at 600%s when it is 8000 feet high. How fast is the line of sight distance between the rocket and camera changing at that moment? ft3 Imin: It piles up in such a way that the d. Sand is falling in a pile at the rate of 12 diameter of the base is always 4 times the height. Find the rate at which the height is changing when the height of the pile is 20 feet.

Solve word problems: a. A triangular trough is 12 feet long with isosceles triangular ends. The base is 2 feet wide, 3 and the trough is 4 feet deep. If water is being pumped into the trough at 4 rate is the height of the water in the trough changing when the height of the water is 8 inches? Imin at what b. At a certain time, a model rocket rising vertically at 60'%s, has a car pass 80 feet directly below it, headed east at 60 mph (88'/s). How fast is the distance between the car and the rocket changing 60 seconds later? c. A camera is positioned 6000 feet from a rocket launching pad. The camera is rigged to always keep focus, and keep the rocket in its sight at all times. Assume that the rocket is moving at 600%s when it is 8000 feet high. How fast is the line of sight distance between the rocket and camera changing at that moment? ft3 Imin: It piles up in such a way that the d. Sand is falling in a pile at the rate of 12 diameter of the base is always 4 times the height. Find the rate at which the height is changing when the height of the pile is 20 feet.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve word problems: a. A triangular trough is 12 feet long with isosceles triangular ends. The base is 2 feet wide, 3 and the trough is 4 feet deep. If water is being pumped into the trough at 4 rate is the height of the water in the trough changing when the height of the water is 8 inches? Imin at what b. At a certain time, a model rocket rising vertically at 60'%s, has a car pass 80 feet directly below it, headed east at 60 mph (88'/s). How fast is the distance between the car and the rocket changing 60 seconds later? c. A camera is positioned 6000 feet from a rocket launching pad. The camera is rigged to always keep focus, and keep the rocket in its sight at all times. Assume that the rocket is moving at 600%s when it is 8000 feet high. How fast is the line of sight distance between the rocket and camera changing at that moment? ft3 Imin: It piles up in such a way that the d. Sand is falling in a pile at the rate of 12 diameter of the base is always 4 times the height. Find the rate at which the height is changing when the height of the pile is 20 feet.
Transcribed Image Text:Solve word problems: a. A triangular trough is 12 feet long with isosceles triangular ends. The base is 2 feet wide, 3 and the trough is 4 feet deep. If water is being pumped into the trough at 4 rate is the height of the water in the trough changing when the height of the water is 8 inches? Imin at what b. At a certain time, a model rocket rising vertically at 60'%s, has a car pass 80 feet directly below it, headed east at 60 mph (88'/s). How fast is the distance between the car and the rocket changing 60 seconds later? c. A camera is positioned 6000 feet from a rocket launching pad. The camera is rigged to always keep focus, and keep the rocket in its sight at all times. Assume that the rocket is moving at 600%s when it is 8000 feet high. How fast is the line of sight distance between the rocket and camera changing at that moment? ft3 Imin: It piles up in such a way that the d. Sand is falling in a pile at the rate of 12 diameter of the base is always 4 times the height. Find the rate at which the height is changing when the height of the pile is 20 feet.
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