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Calculus III, Section 3 Summary
To see a review click on Section 3 Summary To see sample solutions, click on Section 3 Sample Solutions
Cylindrical & Spherical Coordinates
Example 1. Suppose we want to evaluate where is the solid enclosed by the planes and and the cylinders We can use the cylindrical
[…]
Multiple Integrals Additional Problems
Evaluate each one of the following: Use triple integral to find the volume of the tetrahedron bounded by in the first octant. Use triple
[…]
Surface Area Problems
Find the surface area of a plane in first quadrant. Find the surface area of over Find the surface area of over the unit disk. Find
[…]
Surface Area
Example 1. Suppose we would like to find the surface area of that lies above the region bounded by the -axis, -axis and the line .
[…]
Polar Coordinates Double Integrals Problems
Find the volume of the object below over the region bounded by . Find the volume of the object below over the region bounded by .
[…]
Polar Coordinate and Double Integral
Example 1. Suppose we are given (1) where is the region bounded by portion of the unit disk in first quadrant. We know (2)
[…]
Double Integral Problems
Find the volume of a solid with height and base a region bounded by and in the first quadrant. Find the volume of the solid below
[…]
Multiple Integration Introduction
Example 1. We are given the integral (1) Note that we are integrating the function over the region bounded by (2) Integrating with respect
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