Questions asked
a. Determine if the following function, f(z)=z+((1)/(z)) is analytic or not. b. Check if the function, u(x,y)=x^(3)-3xy^(2) is harmonic or not. If your answer is yes, find a corresponding analytic function, f(z) such that f(z)=u(x,y)+iv(x,y).
Evaluate a root of the following equation log x = cos x using Regula Falsi Method up to fourth iteration.
IIf a solution has a [NaOH] = 1.15 x 10-2 M, what is the pH? (Type your answer with 2 decimal places)
Are any of the hydrogens in the cyclo- hexane chair close enough to cause steric strain? What are your conclusions?
What is the purpose of the alternating A bands and I bands in skeletal muscle fibers? Alternating bands allow the thick and thin filaments to slide past each other during a muscle contraction. Alternating bands allow the myofibril to complex with other proteins. Alternating bands allow the sarcomere to elongate during muscle contraction. Alternating bands create a striated sarcomere, allowing efficient energy usage during muscle contraction.
Question 13 Use the Ratio Test to determine the convergence or divergence of the series $\sum_{n=1}^{\infty} \frac{(-1)^{n-1}[\frac{9}{10}]}{n^2}$ Ratio Test inconclusive converges diverges
23. $F(s) = \frac{5s}{s^2 + 49}$ 24. $F(s) = \frac{3s + 1}{s^2 + 25}$ 25. $F(s) = \frac{2s - 1}{3s^2 + 9}$ 26. $Y(s) = \frac{3}{s^2 - 49}$ 27. $Y(s) = \frac{3s}{s^2 - 49}$
By middle childhood it appears that empathy Group of answer choices decreases with most children. becomes "hard wired" with most children. increases in a few children if they had empathic parents. is at the same level as it was in early childhood.
Describe FOUR non-fermentation based products that are biosynthesised on an industrial scale using microorganisms. Include in your answer the type of microorganism used and the relevant applications for each product.
4. [10] Let X be a continuous random variable with the following distribution: $f_X(x) = \begin{cases} c(x^2 - 1), & -1 \le x \le 1\\ 0, & \text{otherwise} \end{cases}$ (a) [2] Find $c$ and plot the pdf. (b) [2] Derive and plot the cdf of X. (c) [2] Find $P[X = 0]$, $P[0 < X < 0.5]$, and $P[|X - 0.5| < 0.25]$. (d) [2]Find E[X] (e) [2]Find VAR[X]
