Find the first three terms of the Taylor series in x - a.sin x, a = ?

A. 1 - (x - ?)2 + (x - ?)3 - . . .
B. -(x - ?) + (x - ?)3 - (x - ?)5 + . . .
C. (x - ?) - (x - ?)2 + (x - ?)3 - . . .
D. 1 - (x - ?) - (x - ?)2 + . . .


Answer: B

Mathematics

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Assuming that the equations define x and y implicitly as differentiable functions   find the slope of the curve   at the given value of t.x cos t + x = 2t, y = t sin t + t, t = 

A. 2 + ?
B.
C.
D. 2

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Simplify by dividing.

A. -37
B. 37
C. 36
D.

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Solve.The electrical resistance of a given length of wire is inversely proportional to the square of the diameter of the wire:  = .If a certain length of wire with a diameter of 41.759 mils has a resistance of 8.475 ohms, what is the resistance of the same length of the same composition wire with a diameter of 30.979 mils?

A. 11.285 ohms B. 7.855 ohms C. 15.399 ohms D. 16.407 ohms

Mathematics

In the following question(s), FN represents the Nth Fibonacci number.F2001/F2000 rounded to three decimal places gives

A. 1.001. B. 1.618. C. 0.618. D. 1.414. E. none of these

Mathematics