For what values of k does the function y = c o s k t satisfy the differential equation 49" = 81y?
a. k = - 1/9
b. k = 1/9
c. k = - 9/7
d. k = 1/7
e. k = 9/7
c. k = - 9/7
e. k = 9/7
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Express the sum in sigma notation.3 + 6 + 9 + 12 + 15
A.
B.
C.
D.
Evaluate the expression.2x - 6(x + 3) when x = -
A. -11 B. -4 C. 10 D. -25
Factor f(x) into linear factors given that k is a zero of f(x).f(x) = x3 - (4 + 2i)x2 + (-5 + 8i)x + 10i; k = 2i
A. f(x) = (x - 2i)(x + 1)(x - 5) B. f(x) = (x - i)(x + 1)(x - 10) C. f(x) = (x - 2i)(x - 1)(x + 5) D. f(x) = (x + 2i)(x - 1)(x - 5)
Determine any local or absolute extrema as indicated.Use the graph of f to estimate the absolute extrema.
A. Absolute maximum: approx. 8.08; absolute minima: approx. -7.67 and 2.75 B. Absolute maximum: ?; absolute minima: -2 and 3 C. No absolute maximum; absolute minimum: approx. -7.67 D. Absolute maximum: approx. 8.08; absolute minimum: approx. -7.67