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1) In this problem, let x = 2, the value Ax = dx, dy = f'(x)dx, and Ay = f(x + Ax)-f(x) to complete the table f(x)=√x dx = Ax dy Ay Ay - dy dy Ay 1.0000 0.5000 0.1000 0.0100 0.0010

1) In this problem, let x = 2, the value Ax = dx, dy = f'(x)dx, and Ay = f(x + Ax)-f(x) to complete the table f(x)=√x dx = Ax dy Ay Ay - dy dy Ay 1.0000 0.5000 0.1000 0.0100 0.0010

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) In this problem, let x = 2, the value Ax = dx, dy = f'(x)dx, and Ay = f(x + Ax)-f(x) to complete the table f(x)=√x 1.0000 0.5000 0.1000 0.0100 0.0010 2) dx= Ax dy Ay Ay - dy dy Ay 3) 4) f(x) = 5x √2x+3 Find the first derivative given that dy Find X by implicit differentiation. √√x+y+√√x = 4 dx -лr² h A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing into the tank at the rate of 10 cubic feet per minute, find the rate of change of the depth of the water the instant it is 8 feet deep? 1 V
Transcribed Image Text:1) In this problem, let x = 2, the value Ax = dx, dy = f'(x)dx, and Ay = f(x + Ax)-f(x) to complete the table f(x)=√x 1.0000 0.5000 0.1000 0.0100 0.0010 2) dx= Ax dy Ay Ay - dy dy Ay 3) 4) f(x) = 5x √2x+3 Find the first derivative given that dy Find X by implicit differentiation. √√x+y+√√x = 4 dx -лr² h A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing into the tank at the rate of 10 cubic feet per minute, find the rate of change of the depth of the water the instant it is 8 feet deep? 1 V
5) Locate the absolute extrema of the given function (if any exist) over the indicated interval. f(x)= 3x²+6x-2 a) [-1,4] 6) 7) 3 f(x) = b) [-1,4) c) (-1,4] d) (-1,4) Determine if Rolle's Theorem can be applied. If Rolle's Theorem can be f'(c) = 0 applied, find all values of c in the interval such that f(x) = (x + 3)(x + 2)2 closed interval [-3,2] Apply the Mean Value Theorem tof on the indicated interval. Find all values f(b)-f(a) f'(c) = b-a of c in the interval [a, b] such that 3x-5 2≤x≤4 2x+1
Transcribed Image Text:5) Locate the absolute extrema of the given function (if any exist) over the indicated interval. f(x)= 3x²+6x-2 a) [-1,4] 6) 7) 3 f(x) = b) [-1,4) c) (-1,4] d) (-1,4) Determine if Rolle's Theorem can be applied. If Rolle's Theorem can be f'(c) = 0 applied, find all values of c in the interval such that f(x) = (x + 3)(x + 2)2 closed interval [-3,2] Apply the Mean Value Theorem tof on the indicated interval. Find all values f(b)-f(a) f'(c) = b-a of c in the interval [a, b] such that 3x-5 2≤x≤4 2x+1
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