Problem 1. Find the line integral with respect to arc length (42+7y)ds, where C' is the line segment in the xy-plane with endpoints P = (8,0) and Q = (0, 6). (a) Find a vector parametric equation F(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. F(t) = ( (b) Using the parametrization in part (a), the line integral with respect to arc length is Sc(10 dt with limits of integration a = (c) Evaluate the line integral with respect to arc length in part (b). (42+7y)ds= (4x + 7y)ds = 1.² and b =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Problem 1.
~S(4x +
+ 7y)ds, where C is the line segment in the xy-plane with endpoints P = (8,0) and Q = (0,6).
(a) Find a vector parametric equation r(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively.
F(t) = (
Find the line integral with respect to arc length
(b) Using the parametrization in part (a), the line integral with respect to arc length is
Sc(10
Sº
dt
with limits of integration a =
(c) Evaluate the line integral with respect to arc length in part (b).
√ (42
(4x + 7y)ds =
(4x + 7y)ds =
and b =
Transcribed Image Text:Problem 1. ~S(4x + + 7y)ds, where C is the line segment in the xy-plane with endpoints P = (8,0) and Q = (0,6). (a) Find a vector parametric equation r(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. F(t) = ( Find the line integral with respect to arc length (b) Using the parametrization in part (a), the line integral with respect to arc length is Sc(10 Sº dt with limits of integration a = (c) Evaluate the line integral with respect to arc length in part (b). √ (42 (4x + 7y)ds = (4x + 7y)ds = and b =
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