A triple iterated integral such as f(x, y, z) dx dy dz is evaluated in much the same way as a double iterated integral. We first evaluate the inside x-integral, treating y and z as con- stants. Then we evaluate the middle y-integral, treating z as a constant. Finally, we evaluate the outside z-integral. Evaluate the following triple integrals. 23. (2x + 3y – 2) dx dy dz II. (8x – 2y + 2) dx dy dz 24. -2-x 25. xyz dz dy dx 6-2y V4-3 26. z dz dx dy

Q: V4-x2 c 3-x²-y? Evaluate the iterated integral. x dz dy dx -5+x2+y2 A) 128/15 B) 16/89 23/6 D) 6

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Q: x+2 dx x2+4x-2

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Q: Consider the integral dx, (x² + a²)³/2 where a is a positive real number.

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Q: Evaluate the given integral by making an appropriate change of variables. J 10 - 8 da, where R is…

A: and .We have to find .

Q: Evaluate the following integrals i) / Vỹ++edy 3. Vy

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Q: evaluate the iterated integral.

A: ∫03∫-20(x2y-2xy) dy dx

Q: Evaluate the iterated integral. (r – y) dydx 2x

A: The given integral is ∫04∫2x2x-ydydx.

Q: Evaluate the iterated integral.

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Q: x2-2xy a²+y? dy If the ODE dx is exact, find an integral F(x, Y) .

A: The given ordinary differential equation is: dydx=x2-2xyx2+y2⇒2xy-x2dx+x2+y2dy=0

Q: Given: f(x,y)=x-2y+3 and D is inside x +y =16 and to the right of the y-axis. Write the integral K =…

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Q: Rewrite the integral in the 5 other orders. Explain your answers. 2 4-y2 f(x, y, z) dz dy dx

A: The given integral is ∫x=0x=1∫y=2xy=2∫z=0z=4-y2fx,y,z dzdydx. The domain of integral is R=x,y,z:…

Q: . Evaluate the following integrals. 131 12-22--y // |v(x + 2)dzdydzr dzdydz -12 0

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Q: Evaluate the triple integral: 3-3x 3-3x-y ² dz dy dx 0 0

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