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 as iterated integrals.
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Find the masses of the solids described in Exercises 53โ56.
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.
The lamina in the figure that follows is bounded above by the lines with equations and and below by thex-axis on the interval The density of the lamina is constant.
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
Evaluate each of the double integrals in Exercises 37โ54 as iterated integrals.
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