Find the first four nonzero terms of the Maclaurin expansion of the given function.f(x) = ln (1 + x3)

A. x3 - x6 + x9 - x12 + ...
B. x3 - x6 + x9 - x12 + ...
C. x3 + x6 - x9 + x12 + ...
D. x3 - x6 + x9 - x12 + ...


Answer: A

Mathematics

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Use the inverse trig functions to express the angle in terms of the indicated unknown side. Express angle A in terms of c. Use one of the inverse trig functions tan-1, sin-1, or cos-1.

A. = cos-1 
B. = sin-1 
C. = sin-1 
D. = cos-1 

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Factor completely. If the polynomial cannot be factored, say it is prime.15x6 + 8x3 - 16

A. (3x3 + 4)(5x3 - 4) B. 15(x3 - 4)(x3 + 4) C. (5x3 + 4)(3x3 - 4) D. (3x3 + 1)(5x3 - 16)

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Find the equation of a line with the given slope and y-intercept.Slope 3, y-intercept (0, -4)

A. y = 3x - 4 B. y = -4x + 3 C. y = 4x + 3 D. y = 3x + 4

Mathematics

Solve the problem.A ball is thrown vertically upward with an initial velocity of 160 feet per second. The distance in feet of the ball from the ground after t seconds is  For what interval of time is the ball more than 384 above the ground?

A. {x ? 3.5 sec < x < 6.5 sec} B. {x ? 9 sec < x < 11 sec} C. {x ? 4 sec < x < 6 sec} D. {x ? 4.5 sec < x < 5.5 sec}

Mathematics