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]

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]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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