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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 For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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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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