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Use a Double Integral to Find the Area of R x=4x4y=x+2yx+21dydx=32\int _ { x = - 4 } ^ { x - 4 } \int _ { y = - x + 2 } ^ { y - x + 2 } 1 d y d x = 32

Question 63

Multiple Choice

Use a double integral to find the area of R. R is the triangle with vertices (-4, 6) , (4, 6) , and (0, 2) .


A) x=4x4y=x+2yx+21dydx=32\int _ { x = - 4 } ^ { x - 4 } \int _ { y = - x + 2 } ^ { y - x + 2 } 1 d y d x = 32

B) y2y6xy+2xy21dxdy=32\int _ { y - 2 } ^ { y - 6 } \int _ { x - - y + 2 } ^ { x - y - 2 } 1 d x d y = 32

C) y2y6xy+2xy21dxdy=16\int _ { y - 2 } ^ { y - 6 } \int _ { x - - y + 2 } ^ { x - y - 2 } 1 d x d y = 16

D) x=4x4y=x+2yx+21dydx=16\int _ { x = - 4 } ^ { x - 4 } \int _ { y = - x + 2 } ^ { y - x + 2 } 1 d y d x = 16

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