Find the vertex, the focus, and the directrix of the parabola.(y - 10)2 = -12(x + 2)

A. V: (-2,10); F: (-5, 7); D: x = 1
B. V: (1,10); F: (-5, 10); D: x = 1
C. V: (-2,10); F: (-5, 10); D: x = 1
D. V: (-2,10); F: (-5, 10); D: x = -2


Answer: C

Mathematics

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For the given function f(x), find a bound for the indicated remainder term on the given interval.f(x) = sin x; R3; a = 0; [-?/6, ?/6]

A. 0.00313 B. 0.00157 C. 0.00271 D. 0.01196

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Subtract.-15 + 1 - 9 - (-20) + 3

A. 0 B. -40 C. -30 D. -22

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Find the center (h, k) and radius r of the circle with the given equation. (x + 4)2 + (y - 10)2 = 4

A. (h, k) = (10, -4); r = 2 B. (h, k) = (10, -4); r = 4 C. (h, k) = (-4, 10); r = 2 D. (h, k) = (-4, 10); r = 4

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?The eigenvalues of the matrix  are

style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_e9ff75bd372949d0b65be5f6c" />, . Find a non-zero eigenvector corresponding to each of the given eigenvalues.
 ?

A. ? , ,
B. ?
C. ?
D. ?
E. ?

Mathematics