Suppose F(x, y) = x²i + yj and C is the line segment segment from point P = (2, –1) to Q = (4, –4). (a) Find a vector parametric equation r(t) for the line segment C so that points P and Q correspond to t = 0 andt = 1, respectively. F(t) = (b) Using the parametrization in part (a), the line integral of F along C is F. df | FG1) - F'(1) dt = dt with limits of integration a = and b = (c) Evaluate the line integral in part (b).

Suppose F(x, y) = x²i + yj and C is the line segment segment from point P = (2, –1) to Q = (4, –4). (a) Find a vector parametric equation r(t) for the line segment C so that points P and Q correspond to t = 0 andt = 1, respectively. F(t) = (b) Using the parametrization in part (a), the line integral of F along C is F. df | FG1) - F'(1) dt = dt with limits of integration a = and b = (c) Evaluate the line integral in part (b).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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