Solve and check.
= 
A. x =
B. x =
C. x =
D. x =
Answer: D
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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
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)
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
Determine the equation of the graph.
A. y = -sec
B. y = sec 2x
C. y = -sec 2x
D. y = sec