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. = 2 - y2ex+y;
= -x2ex+y;
=
= - y2ex+y
C. = 1 - ex+y;
= - ex+y;
=
= -ex+y
D. = 2 - ex+y;
= - ex+y;
=
= -ex+y
Answer: D
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Find the domain of the expression.
?
?
A. All real numbers x B. All real numbers x such that x ? -8 C. All nonnegative real numbers x such that x < -8 D. All real numbers x such that x < -8 E. All real numbers x such that x ? -8
Sketch the graph of the quadratic function. Identify the vertex and axis of symmetry.f(x) = (x + 6)2
A. vertex: (0, 6)
axis of symmetry: x = 0
B. vertex: (6, 0)
axis of symmetry: x = 6
C. vertex: (0, 0)
axis of symmetry: x = 0
D. vertex: (-6, 0)
axis of symmetry: x = -6
Solve the problem.A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance in feet of the ball from the ground after t seconds is For what interval of time is the ball more than 80 above the ground?
A. {x ? 2.5 sec < x < 3.5 sec} B. {x ? 1 sec < x < 5 sec} C. {x ? 4 sec < x < 8 sec} D. {x ? 0.5 sec < x < 5.5 sec}
For the complex number, state the real part, the imaginary part, and identify the number as real, pure imaginary, or nonreal complex.i
A. Real part: ; Imaginary part: 0; Real
B. Real part: 0; Imaginary part: -; Real
C. Real part: 0; Imaginary part: ; Real
D. Real part: 0; Imaginary part: ; Pure imaginary