Determine whether the improper integral is convergent or divergent, and calculate its value if it is convergent.

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Mathematics

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Evaluate the integral.

A. e^x[x² - 6x - 6] + C
B. e^x[x² - 4x + 4] + C
C. e^x[x² - 6x + 6] + C
D. x³e^x - 2x²e^x + C

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Mathematics

Solve the problem.The table shows the number of deaths due to car accidents in a certain city in various years. Let f(t) be the number of deaths due to car accidents at t years since 2012. Find a quadratic equation for f in vertex form. Use the data for the year 2015 to find the vertex and use the data for the year 2017 to find the value of a.

A. f(t) = -1.24(t - 3)2 + 219 B. f(t) = -7.75(t - 3)2 + 270 C. f(t) = -1.24(t - 3)2 + 270 D. f(t) = -7.75(t - 3)2 + 219

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Mathematics

Graph the inequality.x > -5

A.

B.

C.

D.

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Mathematics

Write < or > between the pair of numbers to make the statement true.0 9

A. < B. >

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Mathematics