Find the standard form of the equation of the parabola and determine the coordinates of the focus.

A.           focus: 
B.       focus: 
C.           focus: (0,- 4)
D.         focus: 
E.         focus: 


Answer: E

Mathematics

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Find the first three nonzero terms of the Maclaurin expansion of the given function.f(x) = ln(1 + 3x)

A. 3x - x2 + x3 - ...
B. 3x - 9x2 + 27x3 - ...
C. 3x - x2 + 9x3 - ...
D. 3x + x2 + 9x3 - ...

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Find the unknown coordinate so that the ordered pair satisfies the given equation.y = x - 1, (0, ? )

A. 1 B. -1 C. 6 D. -6

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Write the solution set in interval notation.m is not larger than 24 and not smaller than -3

A. {m|-3 ? m ? 24} B. {m|-3 ? m ? 24} C. {m|-3 ? m ? 24} D. {m|-3 < m < 24}

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Find the slope of the line containing the given pair of points. If a slope is undefined, state that fact.(4, 7) and (-8, 7)

A. - 
B. 0
C. - 
D. Undefined

Mathematics