Numerade

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Based on your calculations, did n-pentane or 1-butanol have a larger $\Delta T$ value? Use your understanding of intermolecular forces to explain these results. n-Pentane had greater $\Delta T$.

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3. Define the quantum Fourier transform $U_{QFT}$ by its action on the computational basis $|x\rangle: U_{QFT}|x\rangle = \frac{1}{\sqrt{N}} \sum_{y=0}^{N-1} e^{2\pi i \frac{xy}{N}} |y\rangle$. $N$ is the dimension of the Hilbert space, and $x, y$ are integers between 0 and $N - 1$. Show that $U_{QFT}$ is a unitary transformation.

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A nurse is preparing to administer furosemide 20mg IM. Available is furosemide injection 10m(g)/(m)L. How many mL should the nurse administer? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.) A nurse is preparing to administer furosemide 20 mg IM. Available is furosemide injection 10 mg/mL.How many mL should the nurse administer? (Round the answer to the nearest whole number.Use a leading zero if it applies. Do not use a trailing zero.) mL

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What amount of HCl is required to completely neutralize 200. mL of 0.30 M Ba(OH)2? 0.030 mol 0.090 mol 0.060 mol 0.12 mol 0.045 mol

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Now suppose the scenario changes into: 1. Malaysia requires 1 hour of labor to produce 1 pound of rice (R) and 3 hours of labor to produce 1 pencil (P); 2. Indonesia requires 2 hours of labor to produce 1 pound of rice and 3 hours of labor to produce 2 pencils; 3. each country has 10,000 hours of labor to allocate between the production of rice and pencils; and 4. preferences are the same in the two countries and are described by the following utility function: $U(P, R) = \ln(P) + \ln(R)$ (g) Which country has an absolute advantage in rice and pencil production? (h) Which country has a comparative advantage in rice and pencil production? (i) In Malaysia, what are the marginal product of labor in rice and pencil production? (j) In Indonesia, what are the marginal product of labor in rice and pencil production? (k) What is the pattern of production and consumption in Malaysia and Indonesia, respectively, when in autarky? (l) What are the autarky prices of rice and pencils in Malaysia and Indonesia? (m) Draw for both countries a graph with the production possibility frontier and the graphical solution to the maximization problem. [Support your answers with appropriate calculations and explanations, and ensure to place the quantity of pencils on the x-axis when plotting your graph.]

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LAB ACTIVITY 1.9.1: Week2-4 Zip 1 #include <iostream> 2 using namespace std; 3 4 int main() { 5 6 /* Type your code here. */ 7 8 return 0; 9 } 10 main.cpp

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Q3: Write a user defined function named as Lnfunc. It will calculate the value of p with respect to the following equations where t is a number and a = 30. $p(t) = \begin{cases} \ln(1/t)e^{3t} & \text{if } t^2 > a\\ \ln(t^4) & \text{if } t^2 \le a \end{cases}$ Then, in the command window, calculate the values of p for t=5 and t=7 by typing Lnfunc(5) and Lnfunc(7). You must upload m-files.

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3. For each problem below, DO NOT SOLVE. Define the two variables and give the two equations. a. An airplane flies eastbound from City A to City B (900 miles) with the wind in 3 hours. On a return flight against the same wind, the travel time is 4 hours. Find the airspeed of the airplane and the speed of the wind. Define Variables: Two equations: and and b. Three CDs and two game disks cost $185. Four CDs and one game disk cost $155. What does each cost? Define Variables: Two equations: and and c. Ned drives a total of 10 hours and travels 500 miles. He drives 30 mph on gravel roads and 65 mph on paved roads. How long does he drive on each surface? Define Variables: and Two equations: and

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Let U(X,Y) = XY³. You have M = 100 to spend and the price of X is set at Px = 5. Draw the PCC then use it to make a demand curve for Y including the following prices for Y: Py = 1, Py = 5, Py = 10. PCC: Demand Curve:

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1) $f(x) = \begin{cases} \frac{1}{20} \sqrt{x} & x \in [-5,15] \\ 0, & e.o.c. \end{cases}$ 2) $f(x) = \begin{cases} \frac{1}{6} \sqrt{x} & x \in [4,10] \\ 0, & e.o.c. \end{cases}$ 3) $f(x) = \begin{cases} \frac{1}{5} e^{-\frac{x-8}{5}} & x \ge 8 \\ 0, & e.o.c. \end{cases}$ 4) $f(x) = \begin{cases} \frac{1}{10} e^{-\frac{x}{10}} & x \ge 0 \\ 0, & e.o.c. \end{cases}$ For all distributions above: a) Prove that f(x) is a probability distribution (that is: f(x) is always more than or equal to zero, and that the sum of all probabilities = 1) b) Find F(x) c) Find $Pr[X \ge 9]$ d) Find $Pr[X \in [8,10]]$ e) Find $F^{-1}(q)$ f) Estimate the value of x such that the value of F(x) = 0.3 g) Find the critical values of x such that 2.5% of probability lies to the right of x h) Find E(X) i) Find Var(X) and Stdev(X)

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