Evaluating a Double
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EBK CALCULUS: EARLY TRANSCENDENTAL FUNC
- 'fff D In the following exercises, evaluate the double integral f(x,y) dA over the region D.arrow_forwardef F Use Green's Theorem to evaluate nds, where F = (√x + 4y, 2x + 4y) C' is the boundary of the region enclosed by y = 5x - x² and the x-axis (oriented positively).arrow_forwardSetup a double integral that represents the surface area of the part of the plane 4x+y+5z=3 that lies in the first octant.arrow_forward
- Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 6 y²dx + 2x²dy, where Cis the square with vertices (0, 0), (2, 0), (2, 2), and (0, 2) oriented counterclockwise. foy'dr + 2x*dy = i -128arrow_forwardCalculusarrow_forwardUsing double integral in polar coordinates, find the area of the plane figure bounded by the curves x² – 2x + y2 = 0,x² – 4x + y² = 0,y = V3 ,y = V3 x.arrow_forward
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