General quartic Show that the general quartic (fourth-degree) polynomial f(x) = x* + ax³ + bx? + cx + d, where a, b, c, and d are real numbers, has either zero or two inflection points, and За? the latter case occurs provided b < 8

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Q: In Exercises 7 through 13. decide whether the indicated operations of addition and multiplication…

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Q: Calculate the iterated integral 2∫1y∫0x√y2+x2dxdy.

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Q: Evaluate the integral ∬R(x2+y2)dxdy, where R is bounded by the lines y=x, y=x+a, y=a, y=2a (a&gt;0).

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Q: For what values of $p$ is the series $\sum_{n=1}^{\infty} \frac{1}{n^{p}}$ convergent?

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