Evaluate the integral /II yze" dV; where D = {(r, y, z) : –1 < x < 1, -2 < y< 2, -3 < z < 3}.

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Q: Find the line integral of F(x, y, z) = x³i + y²j + zk along the line segment C from the origin to…

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Q: Evaluate the line integral -ydx + xdy along the curve C C : y? = 24x from (24, 24) to (0,0). NOTE:…

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Q: What are the area bounded and intersections of y = x2 , x= -1, x = 2 respectively?

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Q: 23. Evaluate the iterated integral. f²f (6x²y - a) (6x²y - 2x) dydx ») ff ² (4x² – x²y³²) dydx

A: Definite Integral

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Q: Evaluate the integrals

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Q: Suppose an object moves in space with the position functionr(t) = ⟨x(t), y(t), z(t)⟩ . Write the…

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Q: for fx xy fy yx f(x,y)=3x³y² + 4(3x + 2y)³ find

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Q: Evaluate the integral S dy -4y+8 dy 1,200 y 4y + 8

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Q: Evaluate the integral ſſ /ydA, where T- triangle with vertices (1,0), (0, 1), (1, 1).

A: Let us consider the double integral  I=∫ab∫f(x)g(x) f(x,y) dydx    or I=∫ab∫f(y)g(y) f(x,y) dxdy…

Q: xdx g) 7x + 2) h)f sin(In x) dx of xe" dx

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Q: Which of the following is not a meaningful triple integral?

A: a. ∫01∫0x∫x+y2x+yex+y+z dz dy dxb. ∫01∫0z∫x+y2x+yex+y+z dz dy dx