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MC 2025 In-course Diagnostics for Undergraduate Mathematics MATH140 WP

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Use appropriate geometric formulae to evaluate given that is defined by

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Given that has the graph shown below, which expression represents the total area between the graph of and the -axis, between and

Q7graph

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Given that has the graph shown below, evaluate

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Given that has the graph shown below, use geometry to evaluate

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Let be the region bounded by the graph of and the -axis on the interval Which of the following statements is true?
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The definite integral .....
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Given that for an upper bound of is:

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Let be the region bounded by the graph of and the -axis on the interval If is positive on the interval then
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For the function =, use a Right Riemann sum to determine a formula that approximates the area under for in terms of , by dividing the interval into equal subintervals. Then take the limit as to calculate the exact area under the curve over . Select the correct answer.

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Which of the following expresses the limit   as a definite integral?  
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