Solve and check. = 

A. = 
B. = 
C. = 
D. = 


Answer: D

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

Mathematics

Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute.f(x) = x2 - 4x, -? < x ? 4

A. Local and absolute minimum: (2, -4); Local and absolute maximum: (4, 0) B. Local and absolute minimum: (2, -4); Local maximum: (4, 0) C. Local minimum: (2, -4); Local and absolute maximum: (4, 0) D. Local minimum: (4, 0); Local and absolute maximum: (2, -4)

Mathematics

Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.r sin ? = 2

A.

x = 2; vertical line 2 units
to the right of the pole
B.

y = -2; horizontal line 2 units
below the pole
C.

x = -2; vertical line 2 units
to the left of the pole
D.

y = 2; horizontal line 2 units 
above the pole

Mathematics

Determine the equation of the graph.

A. y = -sec
B. y = sec 2x
C. y = -sec 2x
D. y = sec

Mathematics