Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(2) = 9, u '(2) = 2, v(2) = -1, v '(2) = -5. (uv) at x = 2

A. 47
B. 23
C. -47
D. -43


Answer: C

Mathematics

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Find the torsion of the space curve.r(t) = (t - 7)i  + (ln(cos t) - 5)j + 3k, -?/2 < t < ?/2

A. Undefined B. ? = 0 C. ? = -1 D. ? = 1

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Write the inverse of the statement.If it is a cat, then it catches birds.

A. Not all cats catch birds. B. If it catches birds, it's a cat. C. If it's not a cat, it doesn't catch birds. D. If it doesn't catch birds, it's not a cat.

Mathematics

Solve.The growth of revenue R(t) over a 12-year time period for Acme Computer Products is given bythousand dollars, where t = time in years. Find an equivalent expression for R(t) by factoring out a common factor.

A. 7t(0.1 + 4t) B. 4t(0.1 + 7t) C. 28(0.1t + t2) D. -7t(0.1 - 4t)

Mathematics

Graph y = f(x). Write the domain of f in interval notation.f(x) = x4/3

A. [0, ?)

B. (-?, ?)

C. (-?, ?)

D. [0, ?)

Mathematics