Evaluate the expression.
a.
b.
c.
d.
e.
d.
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Solve.Find the Maclaurin expansion for the function f(x) = (3 + x)3.
A. The Maclaurin expansion is not valid because it is effectively not infinite. B. The Maclaurin expansion cannot be found because all terms past a certain point are zero. C. 27 + 27x + 9x2 + x3 D. 3 + 9x + 9x2 + x3
Perform the given operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} (U represents the universal set).
?
?
Enter your answer using set notation.
What will be an ideal response?
Solve the problem involving modeling with polynomial functions.For this problem, y-values given correspond to the number of graduates at School X over the years 1990 (x = 0), through 1994 (x = 4). (a) Use the data given in the table below to determine a quartic (fourth-degree) polynomial model. (b) Based on the quartic model, how many graduates were at School X in 1991?
A. (a) y ? 7.291x4 - 56.58
x3 + 126.708
x2 - 73.41
x + 674;
(b) 678 graduates
B. (a) y ? 7.291x4 - 85.75x3 + 340.208
x2 - 525.75x + 938;
(b) 674 graduates
C. (a) y ? 1.750x3 - 16.00x2 + 30.75x + 671.5;
(b) 657 graduates
D. (a) y ? 1.750x3 - 16.00x2 + 30.75x + 671.5;
(b) 688 graduates
Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.sec ? = 4, 0 < ? < Find cos
.
A.
B.
C.
D.