Chapter 13: Q. 25 (page 991)
If the density at each point in is proportional to the point's distance from the y-axis, find the mass of
Short Answer
The mass of the triangular lamina is
Chapter 13: Q. 25 (page 991)
If the density at each point in is proportional to the point's distance from the y-axis, find the mass of
The mass of the triangular lamina is
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If the density at each point in S is proportional to the point’s distance from the origin, find the center of mass of S.
Evaluate the iterated integral :
Let be a continuous function of three variables, let localid="1650352548375" be a set of points in the -plane, and let localid="1650354983053" be a set of points in -space. Find an iterated triple integral equal to the triple integral localid="1650353288865" . How would your answer change iflocalid="1650352747263" ?
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.
Use Definition to evaluate the double integrals in Exercises .
localid="1649936867482"
where
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