Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)

3rd Edition

ISBN: 9780134995991

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

Publisher: PEARSON

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Textbook Question

Chapter 17.2, Problem 2QC

Suppose r(t) = 〈 t, 0 〉 , for a ≤ t ≤ b, is a parametric description of C; note that C is the interval [a, b] on the x–axis. Show that ∫_C f(x, y) ds = ∫ a b f ( t , 0 ) d t , which is an ordinary, single – variable integral introduced in Chapter 5.

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Chapter 17.2, Problem 1QC

Chapter 17.2, Problem 3QC

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Chapter 17 Solutions

Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)

Ch. 17.1 - If the vector field in Example 1c describes the...Ch. 17.1 - In Example 2, verify that g(x, y). G(x, y) = 0. In...Ch. 17.1 - Find the gradient field associated with the...Ch. 17.1 - How is a vector field F = f, g, h used to describe...Ch. 17.1 - Sketch the vector field F = x, y.Ch. 17.1 - Prob. 3E Ch. 17.1 - Given a differentiable, scalar-valued function ,...Ch. 17.1 - Interpret the gradient field of the temperature...Ch. 17.1 - Show that all the vectors in vector field...Ch. 17.1 - Sketch a few representative vectors of vector...

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Suppose r ( t ) = 〈 t, 0 〉 , for a ≤ t ≤ b , is a parametric description of C ; note that C is the interval [ a , b ] on the x –axis. Show that ∫ C f ( x , y ) ds = ∫ a b f ( t , 0 ) d t , which is an ordinary, single – variable integral introduced in Chapter 5.

Solution Summary: The author explains that the integral displaystyle is an ordinary, single variable integral with a parametric description of C.

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