Simplify the complex fraction.
A.
B.
C.
D.
Answer: B
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Give an appropriate answer.Given the function f(x, y, z) and the positive number ? as in the formal definition of a limit, find a positive number ? as in the definition that insures < ?.f(x, y, z) =
; ? = 0.01
What will be an ideal response?
Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at x = ?/6 to x = ?/2. The cross sections perpendicular to the x-axis are circular disks with diameters running from the curve to the curve
A. (2 - 2) ? -
B. ( - 1) ? +
C. -
D. -
Solve the problem.Consider the quartic functionf(x) = ax4 + bx3 + cx2 + dx + e, a ? 0.Must this function have at least one critical point? Give reasons for your answer. (Hint: Must for some x?) How many local extreme values can f have?
What will be an ideal response?
Graph the fraction on a number line.-
A.
B.
C.
D.