Write the partial fraction decomposition of the rational expression.

A.  +  + 
B.  +  + 
C.  + 
D.  +  + 


Answer: D

Mathematics

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Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find C'(50).

A. C'(50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. B. C'(50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. C. C'(50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. D. C'(50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles.

Mathematics

Transform the equation to a form without an xy-term by a rotation of axes. Graph the curve.x2 + xy + y2 - 3y - 6 = 0

A.

B.

C.

D.

Mathematics

Write as a percent.6

A. 300% B. 0.6% C. 0.06% D. 600%

Mathematics

Start with the given graph of y.  a) Describe a sequence of transformations that results in the graph of g(x);  b) Find the range of g(x);  c) Find the horizontal asymptote of the graph of g(x).y = 3x; g(x) = 5(32x - 1) + 5

A. a) The graph of y = 3x is compressed horizontally by a factor of , shifted  unit to the right, stretched vertically by a factor of 5, and shifted five units up.
b) (5, ?)
c) y = 5
B. a) The graph of y = 3x is compressed horizontally by a factor of 2, shifted  unit to the right, stretched vertically by a factor of 5, and shifted five units down.
b) (-5, ?)
c) y = -5
C. a) The graph of y = 3x is compressed horizontally by a factor of , shifted  unit to the left, stretched vertically by a factor of 5, and shifted five units up.
b) (5, ?)
c) y = 5
D. a) The graph of y = 3x is compressed horizontally by a factor of , shifted  unit to the right, stretched vertically by a factor of 5, and shifted five units down.
b) (-5, ?)
c) y = -5

Mathematics