Evaluate the integral by choosing a convenient order of integration: x cos(xy) cos' (Tx) dA; R= x (0, 7] OS 0, NOTE: Enter the exact answer. /| x cos(xy) cos"(rx) dA R

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Q: Using Eigenvalues and Eigen Veetors s&ve Cthe System: ☆G) = ax+4y y'G) = -3y A= -3 ゴ

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Q: Find Fourier series [o, 2w] an ○くXく π fcx) = o <×< 2下

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Q: {m eN:4| m}

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Q: 4) f(x)= cos x COS X %3D (5) f(x)=xsinx -1+ Cos nx

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Q: Prove that the transformation below is LINEAR. T:R² – → R3 R³ T(x,y) = (x + y, 3y, 2x – y)

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Q: 10: Find div F and curl F if F(x, y, z) = xzºi+ 5y°²j+5z°yk. div F= curl F=

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Q: EXAMPLE 3 Evaluate fE Vx + z'dv, where E is the region bounded by the paraboloid y = x + z and the…

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Q: solution of the di dy x + 4y = * x2

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