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MAT 1.003 Calculus II

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Evaluate , where is the triangle in the -plane bounded by the -axis, the line , and the line .
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Identify the correct formula for :
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The area of the ellipse is:
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Given the equation of a level curve of a function , which of the following is true?
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If , where , then the chain rule gives:
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If and , then the function has:
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If , , and , then :
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In what directions does change most and least rapidly at ? What are the corresponding rates of change?
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When two limits along a path of both give the same value , which of the following is true?
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Find the volume of the region bounded above by the elliptical paraboloid and below by the rectangle .
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