Questions asked
5. A functional for the string problem is given by $F(w, w') = \frac{1}{2}T(w')^2 - qw$ Derive governing differential equation of the problem using Euler-Lagrange equation.
Suppose a population is modeled by the function P(t)=15,000e0.08t where t is in days. Find P′(10). The answer choices below are rounded to the nearest integer. Group of answer choices 2,671 33,383 30,000 1,200 7,541
Why do you cautiously acidify aqueous solution of sodium benzoate containing excess NaHCO3 solution while recovering benzoic acid
If a DNA molecule contains 26% guanine bases (G), then what percentage of adenine (A) bases will it have?
According to the Iceberg Model, mental models cause behaviors, which in turn cause repeated events and patterns in human-designed systems. Question 4Answer a. behaviors b. errors c. dysfunctional behaviors d. systemic structures e. None of the above
Use logarithm properties rewrite as a single logarithm expression. 4log(x) + 2log(y) - log(z)
38.1 g per day of a certain industrial waste chemical $P$ arrives at a treatment plant settling pond with a volume of 200. m$^3$. $P$ is destroyed by sunlight, and once in the pond it has a half-life of 4.1 h. Calculate the equilibrium concentration of $P$ in the pond. Round your answer to 2 significant digits.
2.) The budget committee of Lococo Company collects the following data for its San Miguel Store in preparing budgeted income statement for May 2006. Sales for May expected to be \$600,000. Sales in June and July are expected to be 10\% higher than the preceding month Cost of goods sold is expected to be 75\% of sales Operating expenses are estimated to be: Sales Salaries \$ 30,000 Advertising 5\% of the monthly sales Delivery expense 3\% of the monthly sales Sales Commissions 4\% of the monthly sales Rent expense \$ 5,000 per month Depreciation \$ 800 per month Utilities \$ 600 per month Insurance \$ 500 per month Income taxes are estimated to be 30\% of income from operations Prepare \"budgeted income statement\" for May.
Q2. Construct the NFA for the language $L = \{a^nb^m: n \ge 3, m \le 3\}$ and give the regular expression.
6. (7%) Random variable X has CDF \begin{equation*} F_X(x) = \begin{cases} 0 & x < -3, \\ 0.4 & -3 \le x < 5, \\ 0.8 & 5 \le x < 7, \\ 1 & x \ge 7. \end{cases} \end{equation*} Find the conditional CDF $F_{X|X>0}(x)$