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(1) = 4, u '(1) = -7, v(1) = 6, v '(1) = -4. (2u - 4v) at x = 1

A. -16
B. -30
C. 32
D. 2


Answer: D

Mathematics

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Find the indicated series by the given operation.Find the first three nonzero terms of the expansion for  by dividing 1 by the series for cos x.

A. -x + x3 - x5 + . . .
B. x + x3 - x5 + . . .
C. 1 + x2 + x4 + . . .
D. 1 + x2 - x4 + . . .

Mathematics

Provide an appropriate response.A measurement is given to the nearest millimeter. What is the greatest possible error?

A. 0.5 mm B. 1 mm C. 0.05 mm D. 0.1 mm

Mathematics

Simplify.7(x + 3)

A. 7x + 21 B. 7x + 10 C. x + 21 D. 7x + 3

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Simplify.81 ÷ 3 + {6 ? [18 - (2 ? 2)]}

A. 101 B. 114 C. 106 D. 111

Mathematics