Chapter 13: Q 14. (page 1066)
The volume increment when you use cylindrical coordinates to evaluate a triple integral. Why is this the standard order of integration for cylindrical coordinates?
Short Answer
The volume increment is.
Chapter 13: Q 14. (page 1066)
The volume increment when you use cylindrical coordinates to evaluate a triple integral. Why is this the standard order of integration for cylindrical coordinates?
The volume increment is.
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Get started for freeEarlier in this section, we showed that we could use Fubini’s theorem to evaluate the integral and we showed that Now evaluate the double integral by evaluating the iterated integral.
Identify the quantities determined by the integral expressions in Exercises 19–24. If x, y, and z are all measured in centimeters and ρ(x, y,z) is a density function in grams per cubic centimeter on the three-dimensional region , give the units of the expression.
Evaluate the sums in Exercises .
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Explain why.
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