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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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not quite clicking this one, can someone explain how to solve this one to me?

5. SSR (x² + y²) dA, where R is the region bounded by the
cardioid r2(1 + sin 0)

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2. Evaluate P (2y + In(5x² +3)) dx + (10x – 3) dy along the boundary of the elliptical | region 4 y? 1 oriented in the counterclockwise direction. | 9.
By converting to polar form, integrate the In(x² + y?) x² + y? function f(x, y) over the region 1< x² + y? < e?.
3) A curve C is the boundary of a shaded region D which defined by y = 2x² - 4 and y=2x in counter-clockwise orientation. Sketch the curve C, hence by using Green's theorem, [(e* - y²) dx + (2x² + 3)dy (ans:3.6) evaluate the integral c
Q3/ Find the area of the following surface z =x² + y lies in region x² + y 4.
Region B: Computing the integral of the function f (x, y) = (x + y) cos (x + y), with a triangle consisting of vertices (0,0), (a, a) and (a, -a).
A curve C is the boundary of a shaded region D which defined by y = 2x-4 and y = 2x in counter-clockwise orientation. Sketch the curve C, hence by using Green's theorem, evaluate the integral fle - y')dx+(2x +3) dy. (ans:3.6) 3)

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