Current Attempt in Progress Evaluate the double integral over the rectangular region R. 4xy'dA; R = {(x, y): - I < x < 1, – 4 < y < 4} R | 4xy'dA = R

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Q: 8) Evaluate dA, R: 1st quadrant bounded by y² = x & x² = y R 9) Evaluate ff sin (y) dA, R: the…

A: As per our guidelines we are supposed to answer only first question.kindly repost other parts. Thank…

Q: Evaluate the iterated integral ¡¡ -1 -2 (17x+8y + 10) dx dy.

A: I=∫−10∫−22(17x+8y+10)dxdy

Q: Find div F and curl F if F(x, y, z) = 2eyi- 7 cos y j + 4 sin² z k. div F= curl F=

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Q: TEST FOR HOMOGENEITY: */70 3. e"

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Q: 5. Find the area of the region. (a) y = sinx, y = x, x = π/2, x = π (b) x = 1 - y², x = y² – 1 (c)…

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Q: Which integral corresponds to the area of the shaded region? The parabola is y = x? –1 while the…

A: Given query is to find the the integral for the area of shaded region.

Q: Find the product of the integral ri sec²(cos(x))dxdy sin-y

A: Given ∫01∫sin-1yπ2sec2cosxdxdy

Q: Find the area of the region bounded by the parabola y = -x² + 4x - 3 and | its tangent lines at the…

A: We have to find the area of the region.

Q: Using Green's theorem, convert the line integral §(6y² dx + 2xdy) to a double integral, where C is…

A: Given integral, ∮C6y2dx+2xdy Here C is the boundary of the square with vertices ±2,2 and ±2,-2.…