Solve the problem.Use the binomial series and the fact that  tanh-1 x =   to generate the first four nonzero terms of the Taylor series for tanh-1 x. Use the first three terms of the series to estimate tanh-1 (0.5).

A. 1 + x2 - x4 + x6; 0.688
B. x -  +  - ; 0.535
C. x +  -  + ; 0.535
D. 1 - x2 + x4 - x6; 0.813


Answer: C

Mathematics

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A. x = 
B. x = 20
C. x = -20
D. x = 

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Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.

A. no solution; ?
B. {(6, 2)}
C. infinitely many solutions; { 6x + 2y = 3} or { 6y = 9 - 18x}
D. {(0,0)}

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A. 47 B. 85 C. 40 D. 42.5

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Determine the end behavior, the y-intercept, all real zeros, and at least one test value between each intercept. Then connect the points with a smooth curve.f(x) = -x4 - 2x3 + 3x2

What will be an ideal response?

Mathematics