Calculus: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134763644

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Textbook Question

Chapter 14.1, Problem 56E

52–56. Curves on surfaces Verify that the curve r(t) lies on the given surface. Give the name of the surface.

r ( t ) = 〈 ( 3 + cos 15 t ) cos t , ( 3 + cos 15 t ) sin t , sin 15 t 〉 ; ( 3 − x 2 + y 2 ) 2 + z 2 = 1 (Hint: See Example 4 Chapter 14.1, Problem 56E, 5256. Curves on surfaces Verify that the curve r(t) lies on the given surface. Give the name of the .)

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Chapter 14.1, Problem 55E

Chapter 14.1, Problem 57E

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Chapter 14 Solutions

Calculus: Early Transcendentals (3rd Edition)

Ch. 14.1 - Restrict the domain o f the vector function in...Ch. 14.1 - Explain why the curve in Example 5 lies on the...Ch. 14.1 - How many independent variables does the function...Ch. 14.1 - How many dependent scalar variables does the...Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - How do you evaluate limtar(t), where r(t) = f(t),...Ch. 14.1 - How do you determine whether r(t) = f(t) i + g(t)...Ch. 14.1 - Find a function r(t) for the line passing through...Ch. 14.1 - Find a function r(t) whose graph is a circle of...

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Calculus & Its Applications (14th Edition)

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52–56. Curves on surfaces Verify that the curve r ( t ) lies on the given surface. Give the name of the surface. r ( t ) = 〈 ( 3 + cos 15 t ) cos t , ( 3 + cos 15 t ) sin t , sin 15 t 〉 ; ( 3 − x 2 + y 2 ) 2 + z 2 = 1 ( Hint: See Example 4 .)

Solution Summary: The author explains how the entire curve can be represented by a vector-valued function r(t)=langle x,y,z

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