University Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (3rd Edition)
3rd Edition
ISBN: 9780321999580
Author: Joel R. Hass, Maurice D. Weir, George B. Thomas Jr.
Publisher: PEARSON
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1. Evaluate the integral f(x, y)dxdy, of function f R² →R over the domain DC R2, where: f(x, y) = 2x + y and D is the is the triangle with vertices (0, -1), (1,0) and (0,2). Hint. Represent D in the form D = {(x, y) Є R² : x Є (a,b), g(x) < y < h(x)} for some ab and some functions h(x) and g(x). Then apply Cavalieri principle. [30 Marks]
Use Green's Theorem to evaluate Jc (3y- ) dx + ( 7 x + √y 4 + 1 ) dy (3y-esinx) dx + (7x 2=9 where C is the circle x²+y² = 9.
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