Express the integrand as a sum of partial fractions and evaluate the integral.

A. - + 5ln + 5ln + C
B. -10 ln  + tan-1  + C
C. -10 ln + 5ln + 5ln + C
D. 10 ln - 5ln - 5ln + C


Answer: C

Mathematics

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Write the English sentence as an equation in two variables. Then graph the equation.The y-value is one increased by the square of the x-value.

A. y = 1 - x2

B. y = 1 + x2

C. y = -1 + x2

D. y = 1 + 2x

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Solve the problem. Round to the nearest cent.Find the sales tax on an item costing $25.51 if the tax rate is 6.5%.

A. $1.66 B. $1.40 C. $1.91 D. $16.60

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Provide an appropriate response.Find the 11th term of the geometric sequence whose first term is 2000 and whose common ratio is .

A.
B.
C.
D.

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Solve the problem.The concentration of alcohol in a person's blood is measurable. Suppose that the risk R (given as a percent) of having an accident while driving a car can be modeled by the equation R = 5ekxwhere x is the variable concentration of alcohol in the blood and k is a constant.Suppose that a concentration of alcohol in the blood of 0.07 results in a 10% risk  of an accident. Find the constant k in the equation.Using this value of k, what is the risk if the concentration is 0.11?

What will be an ideal response?

Mathematics