In the acute triangle shown, m, m
, and m
. Suppose that you know the length a and measures of angles
and
. If you wish to find the length b, state the form of the Law of Sines or Law of Cosines that you would use.
What will be an ideal response?
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Find the first five partial sums of the given series and determine whether the series is convergent or divergent. If it is convergent, then find its sum. +
+
+
+
+ ...
A. 0.3333, 0.125, 0.06667, 0.041667, 0.02857; convergent; 0 B. 0.3333, 0.4583, 0.5250, 0.5667, 0.6667; divergent C. 0.3333, 0.4583, 0.5250, 0.5667, 0.5952; convergent; 0.6 D. 0.3333, 0.4583, 0.5250, 0.5667, 0.5952; convergent; 0.75
A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and express P(x) in the form d(x)? Q(x) + R(x).P(x) = 2x3 + x2 - 3x + 2d(x) = x + 3
A. (x + 3)(2x2 - 5x + 12) - 34 B. (x + 3)(2x2 + 7x + 6) + 8 C. (x + 3)(2x2 - 5x + 12) + 34 D. (x + 3)(2x2 - 5x - 12) - 34
Graph the function by starting with a function from the library of functions and then using the techniques of shifting, compressing, stretching, and/or reflecting.g(x) = (x - 2)2 - 3
A.
B.
C.
D.
Graph the rational function. Show clearly all x- and y-intercepts and asymptotes.
What will be an ideal response?