Decompose into partial fractions.

A.  - 
B. -  + 
C.  + 
D.  + 


Answer: C

Mathematics

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Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) =  between x = 2 and x = 6 using the "midpoint rule" with two rectangles of equal width.

A.
B.
C.
D.

Mathematics

Integrate the function.

A.  + C
B.  +  + C
C.  + C
D.  + C

Mathematics

Solve.When interest is compounded continuously, the balance in an account after t years is given by , where P0 is the initial investment and k is the interest rate. Suppose that P0 is invested in a savings account where interest is compounded continuously at 8% per year. Express P(t) in terms of P0 and 0.08.

A. P(t) = P0e0.08 B. P(t) = P0e0.08t C. P(t) = P0e8t D. P(t) = P0e0.8t

Mathematics

Solve the problem.The accompanying tables represent a function f that converts seconds to hours and a function g that converts hours to days.Express (f -1?g -1)(x) symbolically.

A. (f -1?g -1)(x) = 
B. (f -1?g -1)(x) = 86,400x
C. (f -1?g -1)(x) = 86,400x2
D. (f -1?g -1)(x) = 

Mathematics