Topic
Q:
lumutes.
Hallar el limite en caso de que exisia
Hollar \( \lim _{x \rightarrow 1} F(x) \) si \( F(x)\left\{\begin{array}{l}x^{2}+2 x-5, \text { si } x<1 \\ 3 x-7, \\ \text { si } x \geq 1 .\end{array}\right. \)
Q:
2. \( -\int \frac{d y}{(y-2)^{3}}= \)
Q:
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.
Q:
Tentukan hasil dari
\( \int \frac{d x}{\sqrt{8+2 x-x^{2}}} \)
Q:
m. \( \operatorname{Lim}_{x \rightarrow 2} \frac{\sqrt{x+2}-2}{x-2} \)
Q:
1.- \( \int \frac{d x}{9 x^{2}+16}= \)
Q:
\( y ^ { \prime \prime } - y ^ { \prime } - 2 y = 3 e ^ { 2 x } - x ^ { 2 } \)
Q:
k. \( \lim _{x \rightarrow 5} \frac{x^{2}-25}{\sqrt{x^{2}+11}-6} \)
Q:
Encontrar Diy con teorencts de derricasias
\[ y=2 \operatorname{sen} x+3 \cos x \]
Q:
Question
Use the second derivative test to find the location of all local extrema in the interval \( \left(\frac{11}{8}, \frac{27}{8}\right) \) for the function given
below.
\[ f(x)=\frac{4 e^{4 x}}{4 x-5} \]
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. Enter answer using exact value.
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