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Chapter 15 Solutions
Calculus: Early Transcendentals, Loose-leaf Version, 9th
- Evaluate the integral below by changing to spherical coordinates. 81 - v2 V 81 - x2 - v2 (x²z + y?z + z³ ) dz dx dy V 81 - y2 V 81 – x2 - y2arrow_forward10arrow_forwardUse spherical coordinates to find the volume of the solid enclosed by the sphere x? + y² + z² = 4a² and the planes z = 0 and z = a. NOTE: Enter the exact answer. V %3Darrow_forward
- Need only handwritten solution only (not typed one).arrow_forward(iii) Evaluate the integral by changing to spherical coordinates. a²-y² a²-x²-y² INN a²-y² √a²-x²-y² . (x²z+y²z+ z³) dzdxdyarrow_forwardSolve for if y- Ina 2- y?. da MCQ3.pdf dy 2y +1 dx dy 2y +1 dx dy dæ -(2y+1)x 1 dy (2y+ 1)a TERIRS daarrow_forward
- Evaluate (ry + yz + xz)dV B = {(x, Y, 2) | 0 <1< 5,0 < y < 4,0 < z < 7} . Do not round. Hint: dV can be dxdydz, or any variation for this particular problemarrow_forwardEvaluate the integral. - 1 y° - 7y° dy У -1 9* У – 7y° dy = -Ty - 4arrow_forwardconvert to cylindrical coordinate : with steps and explanation Please don't give handwritten answer..thankuarrow_forward
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