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(a) y=In, X-4 2x+5

(a) y=In, X-4 2x+5

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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1. Find the derivative of (a) (b): X-4 2x+5 y=In|csc x– cot x) (a) (b) (c) Find the differential dy: y=csc² x y=In, 2. A ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t seconds is S= 80t-16ť² (a) What is the maximum height reached by the ball? (b) What is the velocity of the ball when it is 96 ft above the ground on its way up? On its way down? 3. Find an equation of the tangent line to In x X at the point (1,0). the curve y= 4. The legs of an isosceles right triangle increase in length at a rate of 2 m/s. Determine each. X X Z (a) At what rate is the area of the triangle changing when the legs are 2 m long? (b) At what rate is the area of the triangle changing when the hypotenuse is 1 m long? (c) At what rate is the length of the hypotenuse changing?
Transcribed Image Text:1. Find the derivative of (a) (b): X-4 2x+5 y=In|csc x– cot x) (a) (b) (c) Find the differential dy: y=csc² x y=In, 2. A ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t seconds is S= 80t-16ť² (a) What is the maximum height reached by the ball? (b) What is the velocity of the ball when it is 96 ft above the ground on its way up? On its way down? 3. Find an equation of the tangent line to In x X at the point (1,0). the curve y= 4. The legs of an isosceles right triangle increase in length at a rate of 2 m/s. Determine each. X X Z (a) At what rate is the area of the triangle changing when the legs are 2 m long? (b) At what rate is the area of the triangle changing when the hypotenuse is 1 m long? (c) At what rate is the length of the hypotenuse changing?
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