Chapter 13: Q. 14 (page 1003)
Explain why using an iterated integral to evaluate a double integral is often easier than using the definition of the double integral to evaluate the integral.
Ans:
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Evaluate each of the double integrals in Exercises 37โ54 as iterated integrals.
Evaluate the sums in Exercises .
Identify the quantities determined by the integral expressions in Exercises 19โ24. If x, y, and z are all measured in centimeters and ฯ(x, y,z) is a density function in grams per cubic centimeter on the three-dimensional region , give the units of the expression.
Explain how to construct a Riemann sum for a function of three variables over a rectangular solid.
In the following lamina, all angles are right angles and the density is constant:
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