Differentiate.


Mathematics

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Look for a pattern and then predict the general term, or nth term, an, of the sequence.-1, 4, -16, 64, -256, . . .

A. an = (-1)n4n B. an = (-1)n4n-1 C. an = (-1)n4n D. an = (-1)n-14n-1

Mathematics

Provide an appropriate response.Find the absolute maximum and minimum values of f(x) = ln (sin x) on [].

A. Maximum = 0 at x = , minimum = -ln 2 at x = 
B. Maximum = 0 at x = 0, minimum = -ln 2 at x = 
C. Maximum = 0 at x = , minimum = ln  at x = 
D. Maximum = 0 at x = , minimum = -ln 2 at x = 

Mathematics

Name the quadrant in which the point is located.(4, -6)

A. I B. II C. III D. IV

Mathematics

Given f(x) and g(x), find the indicated composition and evaluate.f(x) = -5x + 8; g(x) = -6x2 + 2x + 5Find (g ? f)(-4).

A. -4643 B. -107 C. 503 D. -97

Mathematics