Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants.
A. 
+ 
+ 
+ 
B. 
+ 
+ 
+ 
C. 
+ 
+ 
D. 
+ 
+ 
Answer: D
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Factor. Assume that all exponents are positive.64x2m - 4y2n
A. 256(xm + yn)(xm - yn) B. 16(xm + yn)(m - n) C. (8xm + 2yn)(8xm - 2yn) D. (8xm - 2yn)2
Find the first three nonzero terms of the Taylor expansion for the given function and value of a.ln x (a = 2)
A. 1 + 
(x - 2) - 
(x - 2) 2 + ...
B. ln 2 + 
(x - 2) - 
(x - 2) 2 + ...
C. ln 2 - (x - 2) + 
(x - 2) 2 - ...
D. (x - 2) - 
(x - 2) 2 + 
(x - 2) 3 - ...
Solve. Use the fact that the radius of the Earth is 3960 miles and 1 mile = 5280 feet.A person who is 7 feet tall is standing on the beach and looks out onto the ocean. Suddenly, a ship appears on the horizon. How far is the ship from the shore? Round to the nearest tenth of a mile.
A. 5600.3 mi B. 4.6 mi C. 3.2 mi D. 235.6 mi
Find the vertical asymptotes of the function.
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