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Math CALCULUS,VOLUME 3 (OER)

For the following exercises, find the slope of a tangent line to a polar curve r = f ( θ ) . Let x = r cos θ = f ( θ ) cos θ and y = r sin θ = f ( θ ) sin θ , so the polar equation r = f ( θ ) is now written in parametric form. 243. r = 2 θ ; ( π 2 , π 4 )

For the following exercises, find the slope of a tangent line to a polar curve r = f ( θ ) . Let x = r cos θ = f ( θ ) cos θ and y = r sin θ = f ( θ ) sin θ , so the polar equation r = f ( θ ) is now written in parametric form. 243. r = 2 θ ; ( π 2 , π 4 )

CALCULUS,VOLUME 3 (OER)

CALCULUS,VOLUME 3 (OER)

16th Edition

ISBN: 2810023446789

Author: OpenStax

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Textbook Question

Chapter 1.4, Problem 243E

For the following exercises, find the slope of a tangent line to a polar curve $r = f ( θ )$ . Let $x = r cos θ = f ( θ ) cos θ$ and $y = r sin θ = f ( θ ) sin θ$ , so the polar equation $r = f ( θ )$ is now written in parametric form.

243. $r = 2 θ ; ( π 2 , π 4 )$

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Chapter 1.4, Problem 242E

Chapter 1.4, Problem 244E

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Chapter 1 Solutions

CALCULUS,VOLUME 3 (OER)

Ch. 1.1 - Many plane curves in mathematics are named after...Ch. 1.1 - Many plane curves in mathematics are named after...Ch. 1.1 - Many plane curves in mathematics are named after...Ch. 1.1 - Many plane curves in mathematics are named after...Ch. 1.1 - Many plane curves in mathematics are named after...Ch. 1.1 - Many plane curves in mathematics are named after...Ch. 1.1 - Many plane curves in mathematics are named after...Ch. 1.1 - Many plane curves in mathematics are named after...Ch. 1.1 - Many plane curves in mathematics are named after...Ch. 1.1 - Earlier in this section, we looked at the...

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For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, determine a definite...Ch. 1.4 - For the following exercises, find the area of the...Ch. 1.4 - For the following exercises, find the area of the...Ch. 1.4 - For the following exercises, find the area of the...Ch. 1.4 - For the following exercises, find the area of the...Ch. 1.4 - 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For the following exercises, find the slope of a...Ch. 1.4 - For the following exercises, find the slope of a...Ch. 1.4 - For the following exercises, find the slope of a...Ch. 1.4 - For the following exercises, find the slope of a...Ch. 1.4 - For the following exercises, find the slope of a...Ch. 1.4 - Find the points on the interval at which the...Ch. 1.4 - For the cardioid r=1+sin , find the slope of the...Ch. 1.4 - For the following exercises, find the slope of the...Ch. 1.4 - For the following exercises, find the slope of the...Ch. 1.4 - For the following exercises, find the slope of the...Ch. 1.4 - For the following exercises, find the slope of the...Ch. 1.4 - For the following Exercises, find the points at...Ch. 1.4 - For the following Exercises, find the points at...Ch. 1.4 - For the following Exercises, find the points at...Ch. 1.4 - For the following Exercises, find the points at...Ch. 1.4 - For the following Exercises, find the points at...Ch. 1.5 - For the following exercises, determine the...Ch. 1.5 - 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