Chapter 13: Q.46 (page 991)
Each of the integrals or integral expressions in Exercises 39–46 represents the volume of a solid in . Use polar coordinates to describe the solid, and evaluate the expressions
Short Answer
The value of integral is
Chapter 13: Q.46 (page 991)
Each of the integrals or integral expressions in Exercises 39–46 represents the volume of a solid in . Use polar coordinates to describe the solid, and evaluate the expressions
The value of integral is
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Evaluate Each of the integrals in exercises 33-36 as an iterated integral and then compare your answer with thoise you found in exercise 29-32
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.
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
Find the masses of the solids described in Exercises 53–56.
The first-octant solid bounded by the coordinate planes and the plane 3x + 4y + 6z = 12 if the density at each point is proportional to the distance of the point from the xz-plane.
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