Chapter 13: Q. 24 (page 1004)
Evaluate the sums in Exercises 23–28.
Short Answer
The value of summation is
Chapter 13: Q. 24 (page 1004)
Evaluate the sums in Exercises 23–28.
The value of summation is
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Get started for freeUse the results of Exercises 59 and 60 to find the centers of masses of the laminæ in Exercises 61–67.
Use the lamina from Exercise 61, but assume that the density is proportional to the distance from the x-axis.
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.
Earlier 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.
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