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14.7 Triple Integrals with Cylindrical and Spherical Coordinates

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Presentation on theme: "14.7 Triple Integrals with Cylindrical and Spherical Coordinates"— Presentation transcript:

1 14.7 Triple Integrals with Cylindrical and Spherical Coordinates

2 Problem 2 (by hand and calculator)

3 Problem 2 solution

4 Problem 10 Sketch the solid whose volume is given by the iterated integral. Evaluate the expression.

5 Problem 10 Solution

6 Recall: Conversion formulas from cylindrical to rectangular coordinates

7 Problem 14 (cylindrical coordinates only)
Convert the integral from rectangular coordinates to cylindrical coordinates. Evaluate the expression.

8 Problem 14 Solution

9 Multiple integration in cylindrical coordinates

10 A minute section in cylindrical coordinates

11 Example 1

12 Example 1 solution

13


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