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Calculus Questions & Answers

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3. \( -\int \frac{d y}{y \sqrt{y^{2}-16}}= \)
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Encuentre \( \quad D_{1} y \) \( y-2 \operatorname{sen} x+3 \cos x \)
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1) \( \int \frac{x}{(x-2)^{2}} d x \)
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Aplicar a \( f(x) \) el límite cuando \( x \longrightarrow-3 \) de \( f(x)=\frac{x^{2}+5 x+6}{x^{2}-x-12} \)
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Question Use the Second Derivative Test to find the location of all local extrema in the interval \( (-21,-9) \) for the function given below. \[ f(x)=\frac{7(x-1)^{2}}{x+9} \] If there is more than one local maxima or local minima, write each value of \( x \) separated by a comma. If a local maxima or local minima does not occur on the function, enter \( \varnothing \) in the appropriate box. Answer should be exact.
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lumutes. Hallar el limite en caso de que exisia Hollar \( \lim _{x \rightarrow 1} F(x) \) si \( F(x)\left\{\begin{array}{l}x^{2}+2 x-5, \text { si } x<1 \\ 3 x-7, \\ \text { si } x \geq 1 .\end{array}\right. \)
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2. \( -\int \frac{d y}{(y-2)^{3}}= \)
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Question Consider the function \( f(x) \) below. Over what open interval(s) is the function decreasing and concave down? Give your answer in interval notation. \[ f(x)=\frac{x^{3}}{3}-\frac{5 x^{2}}{2}-50 x+1 \] Enter \( \varnothing \) if the interval does not exist.
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Tentukan hasil dari \( \int \frac{d x}{\sqrt{8+2 x-x^{2}}} \)
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m. \( \operatorname{Lim}_{x \rightarrow 2} \frac{\sqrt{x+2}-2}{x-2} \)

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