Exam 6: The Integral

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Evaluate the integral. Evaluate the integral.

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Evaluate the integrals mentally. Choose the correct letter for each question.
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Evaluate the integral. Evaluate the integral.

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Evaluate the integral. Evaluate the integral.

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Calculate the total area of the region bounded by the line Calculate the total area of the region bounded by the line   , the   and the lines   and  , the Calculate the total area of the region bounded by the line   , the   and the lines   and  and the lines Calculate the total area of the region bounded by the line   , the   and the lines   and  and Calculate the total area of the region bounded by the line   , the   and the lines   and

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Calculate the Riemann Sum for the integral using n = 5. Calculate the Riemann Sum for the integral using n = 5.

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Evaluate the integral. Evaluate the integral.

(Multiple Choice)
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Evaluate the integrals mentally. Choose the correct letter for each question.
Correct Answer:
Verified
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Evaluate the integral. Evaluate the integral.

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Calculate the Riemann Sum for the integral using n = 4. Calculate the Riemann Sum for the integral using n = 4.

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The oxygen consumption of a bird embryo increases from the time the egg is laid through the time the chick hatches. In a typical galliform bird, the oxygen consumption, in milliliters per hour, can be approximated by The oxygen consumption of a bird embryo increases from the time the egg is laid through the time the chick hatches. In a typical galliform bird, the oxygen consumption, in milliliters per hour, can be approximated by   where t is time (in days)since the egg was laid. (An egg will typically hatch at around t = 28.)Find the total amount of oxygen consumed during the ninth and tenth days ( t = 8 to t = 10). where t is time (in days)since the egg was laid. (An egg will typically hatch at around t = 28.)Find the total amount of oxygen consumed during the ninth and tenth days ( t = 8 to t = 10).

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Evaluate the integral. Evaluate the integral.

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Evaluate the integral. Evaluate the integral.

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Evaluate the integral. Evaluate the integral.

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Evaluate the integral. Evaluate the integral.

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Find Find   if   and the tangent line at   has the slope  if Find   if   and the tangent line at   has the slope  and the tangent line at Find   if   and the tangent line at   has the slope  has the slope Find   if   and the tangent line at   has the slope

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Decide on what substitution to use, and then evaluate the given integral using a substitution. Decide on what substitution to use, and then evaluate the given integral using a substitution.

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Calculate the left Riemann sums for the function over the given interval, using the given values of Calculate the left Riemann sums for the function over the given interval, using the given values of   . (When rounding, round answers to four decimal places.)   over   ,  . (When rounding, round answers to four decimal places.) Calculate the left Riemann sums for the function over the given interval, using the given values of   . (When rounding, round answers to four decimal places.)   over   ,  over Calculate the left Riemann sums for the function over the given interval, using the given values of   . (When rounding, round answers to four decimal places.)   over   ,  , Calculate the left Riemann sums for the function over the given interval, using the given values of   . (When rounding, round answers to four decimal places.)   over   ,

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Evaluate the integral. Evaluate the integral.

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Find Find   if   and the tangent line at   has slope   . if Find   if   and the tangent line at   has slope   . and the tangent line at Find   if   and the tangent line at   has slope   . has slope Find   if   and the tangent line at   has slope   . .

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