evaluate the double integral xy cos y dA over the given region R = [-1,1] × [0, 7 ]

Q: Evaluate the line integral feF. dr where F = (4 sin x, -3 cos y, 5xz) and C is the path given by…

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Q: Region B: Computing the integral of the function f (x, y) = (x + y) cos (x + y), with a triangle…

A: Two point form of the equation x1,y1 and(x2,y2) is  y-y1=y2-y1x2-x1(x-x1)

Q: 1200 1100 1000 900 800 700 600 500 400 300 200 100 100 Find the (exact) area under the curve y = 4x*…

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Q: Find the area of the region bounded by.r=7 cos(80)0<8<2n %3D

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Q: Use a double integral to find the area enclosed by one loop of the four-leaved rose r = cos 20.

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Q: g. The region bounded by: y =Vx, y32 and x=0 about y32. h. The region bounded by: y = x, y=2 and x-0…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the area of the region enclosed by the graphs of y = 3 sin(x) and y= 5πT 2 cos(x) from x = : 0…

A: We need to find area enclosed in region.

Q: evaluate the Cauchy principal value of the given improper integral. cos 2r dx x² + 1

A: We have to find the Cauchy principal value of the improper integral. First we have to write the…

Q: Find the approximate net area of y = x cos x on [−π, π] using 3 left rectangles

A: Consider the given function as fx=x cosx on -π,π. Approximate net area of fx=x cosx on -π,π using 3…