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4) Angle A of triangle ABC is decreasing at the rate of 4 degrees per second, while sides AB and AC are increasing at the rates of 4 and 5 meters per second respectively. If at certain instant A-45 degrees, AB 10m, Ac = 7m, how fast is the area of the triangle changing? =

4) Angle A of triangle ABC is decreasing at the rate of 4 degrees per second, while sides AB and AC are increasing at the rates of 4 and 5 meters per second respectively. If at certain instant A-45 degrees, AB 10m, Ac = 7m, how fast is the area of the triangle changing? =

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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4) Angle A of triangle ABC is decreasing at the rate of 4 degrees per second, while sides AB and Ac are increasing at the rates of 4 and 5 meters. instant A=45 degrees, B²r second respectively. If at certain per AB 10m, Ac = 7m, how fast is the area of the triangle changing? 5) water is leaking out of a conical tank at the rate of 0.5 m³/min The tank is also stretching in such a way that, while it remains. conical, the distance across the top at the water surface is increasing at the rate of 0.2 m/min. How fast is the height of water changing at the instant when h 10 and the volume of water is 75m³ ? =
Transcribed Image Text:4) Angle A of triangle ABC is decreasing at the rate of 4 degrees per second, while sides AB and Ac are increasing at the rates of 4 and 5 meters. instant A=45 degrees, B²r second respectively. If at certain per AB 10m, Ac = 7m, how fast is the area of the triangle changing? 5) water is leaking out of a conical tank at the rate of 0.5 m³/min The tank is also stretching in such a way that, while it remains. conical, the distance across the top at the water surface is increasing at the rate of 0.2 m/min. How fast is the height of water changing at the instant when h 10 and the volume of water is 75m³ ? =
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