Evaluate the integral using the given substitution. dx , u = x3/2 - 5

A. sin3 (x3/2 - 5) + C
B.   sin (x3/2 - 5) + C
C. (x3/2 - 5) +  sin 2(x3/2 - 5) + C
D. x3/2 - 5 +  sin 2(x3/2 - 5)+ C


Answer: C

Mathematics

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Use the intermediate value theorem for polynomials to show that the polynomial function has a real zero between the numbers given.f(x) = 9x4 - 8x2 - 7; 1 and 2

A. f(1) = -6 and f(2) = 105 B. f(1) = 6 and f(2) = -105 C. f(1) = 6 and f(2) = 105 D. f(1) = -5 and f(2) = 106

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Add.

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Solve the problem.A shirt company has 3 designs that can be made with short or long sleeves. There are 7 color patterns available. How many different types of shirts are available from this company?

A. 42 B. 10 C. 12 D. 21

Mathematics