Explanation Given: Curves: a) r=2 b) r 2 = 2 c) r cos θ = 2 a) For r=2 , converting to rectangular coordinates we get x 2 + y 2 = 2 x 2 + y 2 = 2 2 This is equation of circle of radius 2 centered at the origin. b) For r 2 = 2 , we convert to rectangular, obtaining x 2 + y 2 = 2 . This is the equation of the circle of radius 2 , centered at the origin...

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 12.3, Problem 3PQ

To determine

To Describe:

Each of the following curves:

a) $r=2$

b) $r^{2} = 2$

c) $r \cos θ = 2$

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Chapter 12.3, Problem 2PQ

Chapter 12.3, Problem 4PQ

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For the following function f and real number a, a. find the slope of the tangent line mtan = f' (a), and b. find the equation of the tangent line to f at x = a. f(x)= 2 = a = 2 x2 a. Slope: b. Equation of tangent line: y

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Chapter 12 Solutions

Calculus - Standalone book

Ch. 12.1 - Prob. 1PQ Ch. 12.1 - Prob. 2PQ Ch. 12.1 - Prob. 3PQ Ch. 12.1 - Prob. 4PQ Ch. 12.1 - Prob. 5PQ Ch. 12.1 - Prob. 6PQ Ch. 12.1 - Prob. 7PQ Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E

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Each of the following curves: a) r=2 b) r 2 = 2 c) r cos θ = 2

Solution Summary: The author explains that r=2 is the equation of circle of radius 2 centered at the origin.

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To Describe:

Each of the following curves:

a) $r=2$

b) $r^{2} = 2$

c) $r \cos θ = 2$

Want to see the full answer?

Chapter 12 Solutions

Each of the following curves: a) r=2 b) r 2 = 2 c) r cos θ = 2

Solution Summary: The author explains that r=2 is the equation of circle of radius 2 centered at the origin.

Concept explainers

Videos

To Describe: Each of the following curves: a) r=2 b) r2=2 c) rcosθ=2

Want to see the full answer?

Chapter 12 Solutions

To Describe:

Each of the following curves:

a) $r=2$

b) $r^{2} = 2$

c) $r \cos θ = 2$