Find the first few nonzero terms of the Maclaurin series for the given function.f(x) = ln(1 + 2x)

A. 2x - 4x2 + 8x3 - . . .
B. 2x - 2x2 + x3 - . . .
C. 2x - 2x2 + x3 - . . .
D. 2x + 2x2 + x3 - . . .


Answer: C

Mathematics

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Simplify.

A. 6
B.
C. 6 - x2
D.

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We have encoded a message by assigning the numbers 1 - 26 to the letters a - z of the alphabet, respectively, and assigning 27 to a blank space. We have further encoded it by using an encoding matrix. Decode this message by finding the inverse of the encoding matrix and multiplying it times the coded message.The encoding matrix is A =  and the encoded message is 45, -55, 9, -3, -33, 50, -39, 61, -13, 24.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Evaluate.62 

A. 49 B. 64 C. 12 D. 36

Mathematics

Minimize ? ? subject to ? ?

A. , , ,
B. , , ,
C. , , ,
D. , , ,
E. no solution

Mathematics