Find the limit algebraically.lim (x - )(x + )x?0

A. -5
B. 0
C. 5
D. does not exist


Answer: A

Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = x2 + y - ex+y

A.  = 2 + ex+y = ex+y;   =  = ex+y
B.  = 1 - ex+y = - ex+y;   =  = -ex+y
C.  = 2 - y2ex+y = -x2ex+y;   =  = - y2ex+y
D.  = 2 - ex+y = - ex+y;   =  = -ex+y

Mathematics

Graph the solution set of the system of linear inequalities and label the vertices (if any) of the solution set.

A.

B.

C.

D.

Mathematics

Use the given zero to completely factor P(x) into linear factors.Zero: i; P(x) = 2x5 - 2x4 - 6x3 + 6x2 - 8x + 8

A. (x + 1)(x + 2)(x - 2)(x + i)(x - i) B. (x - 1)(x + 2)(x - 2)(x + (1 + i))(x - (1 - i)) C. (x - 1)(x + 2)(x - 2)(x + i)(x - i) D. (x + 2)(x - 2)(x + (1 + i))(x - (1 - i))

Mathematics

Write a fraction to represent the shaded part of the object.

A.
B.
C.
D.

Mathematics