Topic
Q:
Question
For the equation given below, one could use Newton's method as a way to approximate the solution. Find Newton's formula
as \( x_{n+1}=F\left(x_{n}\right) \) that would enable you to do so.
\[ \ln (x)+1=10 x \]
Provide your answer below:
\( x_{n+1}=\square \)
Q:
17) The function \( A=A_{0} e^{-0.01155 x} \) models
the amount of a particular radioactive
material stored in a concrete vault, where
\( x \) is a number of years since the
material was put into the vault. Suppose
400 pounds of the material are initally
put into the vault. Ansuer the folloving
questions:
a) How many pounds will be left after
130 years? (Round to nearest whole number)
b) After how many yews will there be 50 pounds
remaining? (Round to newest whole number)
Q:
Approximate the area under the graph of \( f(x) \) and above the \( x \)-axis using \( n \) rectangles.
\( f(x)=2 x+3 \) from \( x=0 \) to \( x=2 ; n=4 \); use right endpoints
Q:
\begin{tabular}{l} Question \\ Use Newton's method to approximate the solution to the equation \( 7 \cos (x)=3 x+1 \). Use \( x_{0}=2 \) as your starting value \\ to find the approximation \( x_{2} \) rounded to the nearest thousandth. \\ Provide your answer below: \\ \\ \( x_{2} \approx \square \) \\ \hline\end{tabular}
Q:
3.1.2 \( \int \frac{-3 x}{\sqrt{x^{2}-9}} d x \)
3.1.3 \( \int \frac{1}{x^{2}-4} d x \)
Q:
Question
Use Newton's method to approximate the solution to the equation \( \sqrt{x+10}=4 x^{2}+3 x \). Use \( x_{0}=2 \) as your starting
value to find the approximation \( x_{2} \) rounded to the nearest thousandth.
Provide your answer below:
\( x_{2} \approx \square \)
Q:
Hallar la solucion de las sig. ecuaciones.
\( x^{3}+5 x^{2}+6 x=0 \)
\( 3 x^{2}+12=0 \)
\( x^{3}-8 x^{2}+21 x-20=0 \)
\( x^{2}+25=0 \)
\( x^{4}+4 x^{3}+28 x^{2}-4 x-29=0 \)
\( x^{4}+3 x^{2}-10=0 \)
\( x^{4}+2 x^{2}+1=0 \)
\( x^{6}-9 x^{3}+8=0 \)
\( 2 x^{2}-x+3=0 \)
Q:
Which of the following statements are TRUE about the Normal Distribution? Check all that apply.
The graph of the Normal Distribution is bell-shaped, with tapering tails that never actually touch
the horizontal axis.
\( 50 \% \) of the data values lie at or above the mean.
about \( 95 \% \) of all data values lie within 1 standard deviation of the mean.
The mean, median and mode are all equal and occur at the center of the distribution.
Data values are spread evenly around the mean.
Data values farther from the mean are less common than data values closer to the mean.
Q:
The logistic growth function \( f(t)=\frac{111,000}{1+5400 e^{-t}} \) describes
the number of people, \( f(t) \), who have become ill
with influenza \( t \) weaks wfter its inital outbreak
in a puticular community.
a) How may people became ill with the flu
when the epidemic began?
b) How many people were ill by the end of
the fourth week?
c) what is the limiting size of the population
that become ill?
Q:
Miss Watson runs a distance of 200 metres in 25 seconds.
Nork out the average speed of Miss Watson in metres per second.
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