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Find the second derivative of the polynomial. \newlinef(x)=−5x2f(x) = -5x^2\newlineWrite your answer as a polynomial in xx or as a constant. Simplify any fractions. \newlinef′′(x)=f''(x) = ______

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Q. Find the second derivative of the polynomial. \newlinef(x)=−5x2f(x) = -5x^2\newlineWrite your answer as a polynomial in xx or as a constant. Simplify any fractions. \newlinef′′(x)=f''(x) = ______
  1. Calculate Total Tape Needed: First, let's figure out how much tape is needed and how much is on each roll.\newlineTotal tape needed = 8,0008,000 cm, Tape per roll = 2,0002,000 cm.\newlineWe need to divide the total tape needed by the tape per roll to find the number of rolls.\newlineCalculation: 8,0008,000 cm ÷\div 2,0002,000 cm = 44 rolls.

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The second derivative of the function f f is defined by f′′(x)=x2−5cos⁡(2x) f^{\prime \prime}(x)=x^{2}-5 \cos (2 x) for −2.5<x<3.5 -2.5<x<3.5 . Find the x x -values, if any, in the given domain where the function f f has an inflection point. You may use a calculator and round all values to 33 decimal places.\newlineAnswer: x= x=
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f′(x)=12ex and f(4)=−16+12e4.f(0)= \begin{array}{l}f^{\prime}(x)=12 e^{x} \text { and } f(4)=-16+12 e^{4} . \\ f(0)=\end{array}
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