Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.

A.   saddle point;    saddle point
B.   local maximum
C.   local maximum;    local minimum
D.   local minimum


Answer: D

Mathematics

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Perform the indicated operation.u = -4i - 6j , v = 6i - 5j; Find 6u + 8v.

A. 2i - 11j B. 24i - 76j C. 14i + 14j D. -72i + 4j

Mathematics

Use the intermediate value theorem to show that the polynomial has a real zero between the given values of a and b.a = -1 and b = 0f(x) = 8x3 + 6x + 4

A. f(-1) = 10 and f(0) = 4 B. f(-1) = 10 and f(0) = -4 C. f(-1) = -9 and f(0) = 5 D. f(-1) = -10 and f(0) = 4

Mathematics

An expression that occurs in calculus is given. Reduce the expression to lowest terms.

A.
B.
C.
D.

Mathematics

Use long division to determine whether the binomial is a factor of f(x).f(x) = 4x3 - 31x2 + 27x + 90; x - 6

A. Yes B. No

Mathematics