Solve the problem.Find the derivative of the function
at the point
in the direction in which the function decreases most rapidly.
A. -
B. -3
C. -
D. -
Answer: C
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Use the graph to evaluate the limit.f(x)
A. -2 B. 1 C. does not exist D. 0
Solve the problem.Find the extreme values of subject to
and
A. Maximum: at
minimum:
at
B. Maximum: at
minimum:
at
C. Maximum: at
minimum:
at
D. Maximum: at
minimum:
at
Find the equation in standard form of the parabola described.Find the equations of the two parabolas in standard form that have a vertical axis of symmetry and a focus at the point (0, 4), and that pass through the origin.
A. x2 = 16y and x2 = -16y B. y2 = 16x and y2 = -16x C. y2 = 8x and y2 = -8x D. x2 = 8y and x2 = -8y
Find the exact location of all the relative and absolute extrema of the function.
?
?
A. - absolute minimum
B. - relative minimum
C. - absolute maximum
D. - absolute maximum
E. - relative maximum