Evaluate using Table 1 or CAS.


Mathematics

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Mathematics

Find the first four terms of the binomial series for the given function.(1 + 7x2)3

A. 1 + 21x2 + 21x4 + x6 B. 1 + 21x2 + 63x4 + 189x6 C. 1 + 21x2 + 245x4 + 2401x6 D. 1 + 21x2 + 147x4 + 343x6

Mathematics

Find the requested value for the given functions.f(x) = x + 6, g(x) = x - 10 Find (f ? g)(x) and (f ? g)(7).

A. (f ? g)(x) = x2 + 4x - 60; (f ? g)(7) = 17 B. (f ? g)(x) = x2 + 16x + 60; (f ? g)(7) = 221 C. (f ? g)(x) = x2 - 4x - 60; (f ? g)(7) = -39 D. (f ? g)(x) = x2 - 4x + 60; (f ? g)(7) = 81

Mathematics

Fifty percent of students enrolled in an astronomy class have previously taken physics. Thirty percent of these students received an A for the astronomy class, whereas twenty percent of the other students received an A for astronomy.Find the probability that a student selected at random previously took a physics course, given that they received an A in the astronomy course.

A. 0.40 B. 0.15 C. 0.25 D. 0.6 E. none of these

Mathematics