Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

A.
B.
C.
D.


Answer: B

Mathematics

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Use the method of variation of parameters to solve the differential equation.D2y - 16y = e-4x 

A. y = C1e-4x  + C2e4x  + xe-4x
B. y = C1e-4x  + C2e4x  - xe4x
C. y = C1e-4x  + C2e4x  - xe-4x
D. y = C1e-4x  + C2e4x  - xe-4x

Mathematics

Refer to the given map. Assume that the length of each east-west block is  mile and the length of each north-south block is  mile. Find the straight-line distance between the bus stop and the theater.

A. 1.50 mi B. 1.27 mi C. 1.33 mi D. 1.58 mi

Mathematics

Find the formula and limit as requested.For the function f(x) = 9 - 3x2 , find a formula for the lower sum obtained by dividing the interval [0, 1] into n equal subintervals. Then take the limit as n?? to calculate the area under the curve over [0, 1].

A. ; Area = 1
B. 9 - ; Area = 8
C. 9 + ; Area = 10
D. 9 - ; Area = 8

Mathematics

Solve the equation.-10.1 - 2x = 1.5

A. -1.8 B. -7.3 C. -5.8 D. -1.6

Mathematics