Use the given transformation to evaluate the integral, 10 sin(81x2 + 49y2) dA,    where R is the region in the first quadrant bounded by the ellipse  81x2 + 49y2 = 1; u = 9x, v = 7y

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Q: the given transformation to evaluate the integral. 4xy dA, where R is the region in the first…

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Q: Find the particular intengral of the following ODE d2y/dx2 + 9y = cos 3x

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Q: Calculate the integral approximations T6 and M6 for ∫sec^2x dx [0,pi/7]

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Q: INTEGRATION BY SUBSTITUTION dt 1 t-a In tta use t? -a 2 2a

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Q: Find the line integral of F along the parabola y = x² from the origin to (4, 16).

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Q: Use the given transformation to evaluate the integral. 6 sin(81x2 + 25y2) da, where R is the region…

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Q: Y – 5x |dA x + y 100 cos

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Q: Find the Fourier integral representation of the given function. ex, Ixl 1 f(x) = 1 f(x) da %3D Jo

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Q: Evaluate the triple integral a dV where E is the solid bounded by the paraboloid a = 10y² + 102² and…

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Q: Use Green's Theorem to evaluate the following line integral. Of dy -g dx, where (fg) = (7x2,8y?) and…

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Q: Question 3. Compute the integral - dz 8+z where y is the rectangle with vertices +3+ i with the…

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Q: Calculate the integral of f(x, y) = e*-2y over the parallelogram in Figure 7. y (6, 4) (1, 3) D (5,…

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Q: Evaluate the iterated integral LL V-6x-x2 ху (x2 + y2)3/2 dydx -3 J0 using polar coordinates.

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Q: Evaluate the integral by making an appropriate change of variables. IL 4 sin(25 + 81y) dA, where R…

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Q: Express D as a union of regions of type I or type II and evaluate the integral.57.∬Dx2 dA

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Q: Evaluate the integrals in Exercises 9 and 10. 9. | 8x sin y dx – 8y cos x dy C is the square cut…

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Q: Use the given transformation to evaluate the integral. 10xy dA, where R is the region in the first…

A: Consider a given region R bounded by the lines y=12x and y=32x,  and the hyperbolas xy=12 and xy=32.…