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Double integral (region)

20 practice questionsIntegral CalculusStep-by-step solutions

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1

When solving double integrals, intervals having ONLY constants shows ____ kind of region?

A.Rectangular
B.General
C.Type I
D.Type II
E.None
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2

Find, by a double integral, the total area enclosed between y=xy=x and y=x3y=x^3 over โˆ’1โ‰คxโ‰ค1-1\le x\le1.

A.12\dfrac12
B.00
C.11
D.14\dfrac14
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3

The double integral โˆฌR1โ€‰dxโ€‰dy\iint_R 1\,dx\,dy gives the:

A.Volume under the surface z = 1
B.Perimeter of region R
C.Area of region R
D.Average value of f(x, y) over R
E.None
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