Use the graph of the rational function f(x) to complete the statement.As x?-2+, f(x)? 

A. 0
B. -?
C. -2
D. +?


Answer: B

Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5

A.  = 2yex2 = 2x;   =  = 2xex2
B.  = 2yex2 = 2x;   =  = 2y + 2xex2
C.  = 2yex2(1 + 2x2);  = 2x;   =  = 2y + 2xex2
D.  = yex2(1 + 2x2);  = x;   =  = y + xex2

Mathematics

Solve the problem.A ball is dropped from a height of 15 m and always rebounds  of the height of the previous drop. How far does it travel (up and down) before coming to rest?

A. 45 m B. 90 m C. 75 m D. 30 m

Mathematics

The loudness L(x), measured in decibels, of a sound of intensity x, measured in watts per square meter, is defined as  watt per square meter is the least intense sound that a human ear can detect. Determine the loudness, in decibels, of the sound.You have two friends, Jim and Amy. Jim always yells when he speaks, and Amy always whispers. The loudness of Jim's voice is 120 decibels, and the loudness of Amy's voice is 20 decibels. Determine how many times as intense Jim's voice is as compared at Amy's.

A. Jim's voice is 100.1 times as intense as Amy's. B. Jim's voice is 100 times as intense as Amy's. C. Jim's voice is 1000 times as intense as Amy's. D. Jim's voice is 1010 times as intense as Amy's.

Mathematics

Solve. A lawyer stacks three case files on top of each other. The thicknesses of the files are  , and  inches. What is the total height of the stack of files?

A.  in.
B.  in.
C.  in.
D.  in.

Mathematics