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Evaluating a Line Integral In exercises 23-32, evaluate
(a).
(b).
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Chapter 15 Solutions
Bundle: Calculus: Early Transcendental Functions, 7th + Webassign, Multi-term Printed Access Card
- Exercise 1 Determine the relative extrema of f. (b) f(x, y) = 4xy² – 2r*y – x -arrow_forwardFind div F and curl F if F(x, y, z) = x²i - 6j+yzk. div F- = 7 x + y curl F zi Xarrow_forwardLet F=2(x + y)7+4 sin(y). Find the line integral of around the perimeter of the rectangle with corners (3,0), (3, 6). (-3, 6), (-3,0), traversed in that order. line integralarrow_forward
- Find div F and curl F if F(x, y, z) = 2eyi - 7 cos y j + 4 sin² z k. div F= curl F=arrow_forwardthe linearization of (fi,f2) = (x²y+ 3xy², 3x³ + 2xy) at (1,0) to approximate the value at (0.9,-0.1).arrow_forwardQUICK CHECK 3 Let u(t) = (t,t, t) and v(t) = (1, 1, 1). Compute d (n(t) • v(t)) using Derivative dt Rule 5, and show that it agrees with the result obtained by first computing the dot product and differentiating directly. <arrow_forward
- Let F = 2(x + y)i + sin(y) 7. Find the line integral of Faround the perimeter of the rectangle with corners (4,0), (4,8), (-2, 8), (-2, 0), traversed in that order. line integral =arrow_forwardHow do you integrate z/(z+2) in terms of z?arrow_forwardFind div F and curl F if F(x,y, z) = 3e®Y i – 3 cos yj+ 10 sin? z k. div F= curl F=arrow_forward
- Exercise 1- Determine which of the following functions are analytic: 2 2 d- x²+iy², b = 2xy + i(x²y²) 1 d= (2-1)(2+1) x-iy x²+y2 E- Sinx coshy+icosx sinhy C- )arrow_forwardII. Let f(x, y, z) = sin x + Determine dydzdrdz² 'arrow_forwardExplain how the substitution u = ax + b helps to perform an integration in which the integrand is f(ax + b),where f(x) is an easy integrate function.arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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