Answer the question.If we wish to find the candidates for local extrema and saddle points for   then we must find which of the following?(i) fx and fxx(ii) fy and fyy(iii) fxy(iv) fyx(v) fxxx

A. (i), (ii), and (v)
B. (i), (ii), and (iii)
C. All
D. (i) and (ii)


Answer: B

Mathematics

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By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit L and the smallest integer N such that  for  otherwise indicate divergence.an = 12021/n

A. L = 1, N = 1212 B. L = 0, N = 1212 C. L = 1, N = 713 D. diverges

Mathematics

Solve the problem.At mail time you are delivered a check for $56 and a bill for $43. What integer does this situation illustrate?

A. -13 B. 99 C. -99 D. 13

Mathematics

Find the specified domain.For f(x) = x2 - 1 and g(x) = 2x + 3, what is the domain of f ? g?

A. [1, ?) B. (-1, 1) C. (-?, ?) D. [0, ?)

Mathematics

Solve the problem.The surface area S (in square inches) of a cylindrical pipe with length 12 inches is given by S(r) = 2?r2 + 24?r, where r is the radius of the piston (in inches). If the radius is increasing with time t (in minutes) according to the formula r(t) = t2, t ? 0, find the surface area S of the pipe as a function of the time t.

What will be an ideal response?

Mathematics