Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia

The yield strength of CP titanium welds was measured for welds cooled at rates of \(10^{\circ}C/s,15^{\circ}C/s\ \text{and}\ 28^{\circ}C/s\). The results are presented in the following table. (Based on the article “Advances in Oxygen Equivalence Equations for Predicting the Properties of Titanium Welds,” D. Harwig, W. Ittiwattana, and H. Castner, The Welding Journal, 2001:126s-136s.)

\(\begin{array}{} \hline \text{Cooling Rate}&\text{Yield Strenghts}\\ \hline 10&71.00&75.00&79.67&81.00&75.50&72.50&73.50&78.50\\ 15&63.00&68.00&73.00&76.00&79.67&81.00\\ 28&68.65&73.70&78.40&84.40&91.20&87.15&77.20&80.70&84.85&88\\ \hline \end{array}\)
a. Construct an ANOVA table. You may give a range for the P-value. b. Can you conclude that the yield strength of CP titanium welds varies with the cooling rate?

Advanced Math
If the height of a pyramid is increased by 60% and the length of an arm of a square is reduced by 35%, how much will the size of the pyramid increase or decrease?

The following advanced exercise use a generalized ratio test to determine convergence of some series that arise in particular applications, including the ratio and root test, are not powerful enough to determine their convergence. The test states that if $ $\underset{n\to \mathrm{\infty }}{lim}\frac{a_{2n}}{a_n}<1/2$ then ${\displaystyle \sum a_n}$ converges, while if $\underset{n\to \mathrm{\infty }}{lim}\frac{a_{2n+1}}{a_n}>1/2$ then ${\displaystyle \sum a_n}$  diverges. Let ${\displaystyle a_n=\frac{n^{\ln n}}{{\left(\ln n\right)}^n}}$. Show that $\frac{a_{2n}}{a_n}\to 0$ as ${\displaystyle n\to \mathrm{\infty }}$

Advanced Math
Find the final form of the median and range for uniform distribution (0,1) for order statistics.

Maurice and Lester are twins who have just graduated from college. They have both been offered jobs where their take-home pay would be $2500 per month. Their parents have given Maurice and Lester two options for a graduation gift. Option 1: If they choose to pursue a graduate degree, their parents will give each of them a gift of $35,000. However, they must pay for their tuition and living expenses out of the gift. Option 2: If they choose to go directly into the workforce, their parents will give each of them a gift of $5000. Maurice decides to go to graduate school for 2 years. He locks in a tuition rate by paying $11,500 for the 2 years in advance, and he figures that his monthly expenses will be $1000. Lester decides to go straight into the workforce. Lester finds that after paying his rent, utilities, and other living expenses, he will be able to save $200 per month. Their parents deposit the appropriate amount of money in a money market account for each twin. The money market accounts are currently paying a nominal interest rate of 3 percent, compounded monthly. Lester works during the time that Maurice attends graduate school. Each month, Lester saves $200 and deposits this amount into the $5000 money market account that his parents set up for him when he graduated. If Lester's initial balance is u0=5000,un is the current month's balance, and un−1 is last month's balance, write an expression for un in terms of un−1.

A payment of 1500$ is due in three months.Find the equivalent value at nine months if the interest rate is 4%
select one
a:$1500
b:$1530
c:$1560
d:$1470

The following definition is discussed in advanced mathematics courses. $f(x)=\{\begin{array}{lll}0& \text{if xx is a rational number}1& \text{if xx is an irrational number}\end{array}$
Evaluate $f(-34)$, $-\sqrt{2}$, and ${\displaystyle f\left(\pi \right)}$.