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Homework 12: Problem 5 (1 point) Match the integrals with the type of coordinates which make them the easiest to do. Put the letter of the coordinate system to the left of the number of the integral. 1. (iiint_E z dV) where E is: (1 leq x leq 2, 3 leq y leq 4, 5 leq z leq 6) 2. (int_0^1 int_0^{y^2} frac{1}{x} dx dy) 3. (iiint_E z^2 dV) where E is: (-2 leq z leq 2, 1 leq x^2 + y^2 leq 2) 4. (iiint_E dV) where E is: (x^2 + y^2 + z^2 leq 4, x geq 0, y geq 0, z geq 0) 5. (iint_D frac{1}{x^2 + y^2} dA) where D is: (x^2 + y^2 leq 4) A. spherical coordinates B. polar coordinates C. cylindrical coordinates D. cartesian coordinates

          Homework 12: Problem 5
(1 point)
Match the integrals with the type of coordinates which make them the easiest to do. Put the letter of the coordinate system to the left of the number of the integral.
1. (iiint_E z dV) where E is: (1 leq x leq 2, 3 leq y leq 4, 5 leq z leq 6)
2. (int_0^1 int_0^{y^2} frac{1}{x} dx dy)
3. (iiint_E z^2 dV) where E is: (-2 leq z leq 2, 1 leq x^2 + y^2 leq 2)
4. (iiint_E dV) where E is: (x^2 + y^2 + z^2 leq 4, x geq 0, y geq 0, z geq 0)
5. (iint_D frac{1}{x^2 + y^2} dA) where D is: (x^2 + y^2 leq 4)
A. spherical coordinates
B. polar coordinates
C. cylindrical coordinates
D. cartesian coordinates

$Homework 12: Problem 5 (1 point) Match the integrals with the type of coordinates which make them the easiest to do. Put the letter of the coordinate system to the left of the number of the integral. 1. (iiintE z dV) where E is: (1 leq x leq 2, 3 leq y leq 4, 5 leq z leq 6) 2. (int0^1 int0^y^2 frac1x dx dy) 3. (iiintE z^2 dV) where E is: (-2 leq z leq 2, 1 leq x^2 + y^2 leq 2) 4. (iiintE dV) where E is: (x^2 + y^2 + z^2 leq 4, x geq 0, y geq 0, z geq 0) 5. (iintD frac1x^2 + y^2 dA) where D is: (x^2 + y^2 leq 4) A. spherical coordinates B. polar coordinates C. cylindrical coordinates D. cartesian coordinates$

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