Classify the following as the equation of a parabola, a circle, an ellipse, or a hyperbola.4x2 + 16y2 - 64 = 0

A. Circle
B. Hyperbola
C. Ellipse
D. Parabola


Answer: C

Mathematics

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Use the Divergence Test to determine whether the series diverges or state that the test is inconclusive.

A. Inconclusive B. Diverges

Mathematics

Simplify the complex number to its rectangular form.2 + j4

A. -6 B. 1 - 7j C. 1 + 7j D. -8

Mathematics

Provide an appropriate response.Which of the following statements defines f(x) = ??I. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 - ? < x < x0 + ?.II. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 < x < x0 + ?.III. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 - ? < x < x0.

A. II B. III C. I D. None

Mathematics

Expand the expression using the Binomial Theorem.(2x - 1)5

A. 32x5 - 16x4 + 8x3 - 4x2 + 2x - 1 B. (4x2 - 4x + 1)5 C. 32x5 - 80x4 + 80x3 - 40x2 + 10x - 1 D. 32x5 + 10x4 - 40x3 - 40x2 + 10x - 1

Mathematics