Calculus: Early Transcendentals, Enhanced Etext

12th Edition

ISBN: 9781119777984

Author: Howard Anton; Irl C. Bivens; Stephen Davis

Publisher: Wiley Global Education US

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Textbook Question

Chapter 6.3, Problem 11ES

Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y -axis .

y = 1 x 2 + 1 , x = 0 , x = 1 , y = 0

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Chapter 6.3, Problem 10ES

Chapter 6.3, Problem 12ES

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I circled the correct answer, could you show me how to do it using divergence and polar coordinates

The correct answer is D Could you explain and show the steps please

Taylor Series Approximation Example- H.W More terms used implies better approximation f(x) 4 f(x) Zero order f(x + 1) = f(x;) First order f(x; + 1) = f(x;) + f'(x;)h 1.0 Second order 0.5 True f(x + 1) = f(x) + f'(x)h + ƒ"(x;) h2 2! f(x+1) 0 x; = 0 x+1 = 1 x h f(x)=0.1x4-0.15x³- 0.5x2 -0.25x + 1.2 51 Taylor Series Approximation H.w: Smaller step size implies smaller error Errors f(x) + f(x,) Zero order f(x,+ 1) = f(x) First order 1.0 0.5 Reduced step size Second order True f(x + 1) = f(x) + f'(x)h f(x; + 1) = f(x) + f'(x)h + "(xi) h2 f(x,+1) O x₁ = 0 x+1=1 Using Taylor Series Expansion estimate f(1.35) with x0 =0.75 with 5 iterations (or & s= 5%) for f(x)=0.1x 0.15x³-0.5x²- 0.25x + 1.2 52

Chapter 6 Solutions

Calculus: Early Transcendentals, Enhanced Etext

Ch. 6.1 - An integral expression for the area of the region...Ch. 6.1 - An integral expression for the area of the...Ch. 6.1 - (a) The points of intersection for the circle...Ch. 6.1 - Prob. 4QCE Ch. 6.1 - Find the area of the shaded region.Ch. 6.1 - Find the area of the shaded region.Ch. 6.1 - Find the area of the shaded region.Ch. 6.1 - Find the area of the shaded region.Ch. 6.1 - Find the area of the shaded region by (a)...Ch. 6.1 - Find the area of the shaded region by (a)...

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