Numerade

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4. Show that the wavefunction $\psi = \frac{1}{4\sqrt{2\pi}}(2 - r)e^{-r/2}$ is normalized. (This requires integrating over three coordinates, using the volume element in spherical coordinates. Make sure you show each step). 5. Assuming the rotation of a diatomic molecule in the J = 10 state may be approximated by classical mechanics, calculate how many revolutions per second $^{23}Na^{35}Cl$ makes in the J = 10 state. The value of B is 1.551 cm$^{-1}$. 6. Use the Hamiltonian for three-dimensional rotation: $-\frac{\hbar^2}{2I}[\frac{1}{sin\theta}\frac{\partial}{\partial\theta}(sin\theta\frac{\partial}{\partial\theta}) + \frac{1}{sin^2\theta}\frac{\partial^2}{\partial\phi^2}]$ to show that a) $Y_{0,0} = (\frac{1}{4\pi})^{1/2}$ and b) $Y_{1,0} = (\frac{3}{4\pi})^{1/2} cos\theta$ satisfy the Schrödinger equation.

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Which of the following financial institutions pool deposits of customers and use the money to buy a portfolio of stocks or bonds or both? Question 13 options: Mutual funds Thrifts Investment banks Brokerage firms

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which of the following of the action of sodium potassium pumps in a neuron select all that apply

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Suppose the cost of producing x computers is c(x) = 2300 + 90x - 0.1x\textsuperscript{2}. Find the cost of producing 80 computers.\ A) $9500\ B) $1750\ C) $8860\ D) $9436

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Jenkins Reading Guide Question 1. Before reading the article, read its title. Based on this title, do you think the author (Jenkins, 2018) would agree or disagree with Matsuda and Matsuda's (2010) position in their article? Why? Question 2. Jenkins (2018) writes about a class he taught in which students spoke seventeen different languages. How does he describe the students' attitudes toward SAE? Question 3. What support does Jenkins (2018) give for his argument that writing instructors should help students master SAE? List at least three pieces of support that Jenkins provides for his argument. Question 4. What is your reaction to this article? Do you mostly agree or mostly disagree with Jenkins (2018)?

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Discuss the mechanism for closely related organisms (with little sequence divergence) having large morphological differences (Ex. alligators and birds, whales and cows).

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Suppose that y varies directly as the square root of x, and that y=12 when x=4. Find x when y=54.

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Solving for time (use your custom formula :-) 4) Find the time in years required to pay off a loan with the given terms: P = $16,425, R = $500, r = 9% compounded monthly 5) To purchase a $23,620 swimming pool, a family makes a 10% down payment and finances the remainder with a loan at 8.3% interest compounded quarterly. If they make loan payments of $2000 per quarter, how long will it take them to pay off the loan? 6) Suppose $10,000 is borrowed at 8.7% interest compounded monthly. a) How long will it take to pay off the loan with monthly payments of $200? b) How long will it take to pay off the loan with monthly payments of $100? c) What happens if you use the loan formula to find out how long it will take to pay off the loan with monthly payments of $50? Why does the formula not work in this case? (#1) F = P(1 + rt) (#2) (#3) (#4) $F = P \left(1 + \frac{r}{n} \right)^{nt}$ $F = D \left( \frac{\left(1 + \frac{r}{n} \right)^{nt} - 1}{\frac{r}{n}} \right)$ $P = R \left( \frac{1 - \left(1 + \frac{r}{n} \right)^{-nt}}{\frac{r}{n}} \right)$ (#5) (#6) (#7) (#8) $r = n \left( \left( \frac{F}{P} \right)^{1/nt} - 1 \right)$ $t = \frac{\log \left( \frac{F}{P} \right)}{n \log \left(1 + \frac{r}{n} \right)}$ $t = \frac{\log \left( \frac{D}{R} \left( \frac{r}{n} \right) + 1 \right)}{n \log \left(1 + \frac{r}{n} \right)}$ $t = \frac{\log \left( - \frac{P}{R} \left( \frac{r}{n} \right) + 1 \right)}{-n \log \left(1 + \frac{r}{n} \right)}$ 21q

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Given the following 2-3 tree, provide the corresponding red-black BST. 33,70 2, 19 40,60 92, 93

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Match the following terms about digital storage to the corresponding definition Magnetic Storage Optical Storage Solid State Floppy disk Hard Disc Drive Solid State Drive A. Storage media that can hold a large amount of data (a full system worth) that provides better performance than a magnetic drive, but is much more expensive. B. Stores data in tiny dots that are created, read and erased using electromagnets. Examples include floppy disks and hard disk drives. C. Form of magnetic media that could only hdld very small amounts of data. Useful to move files from one system to another because they are easily removable. D. Media that uses lasers to read and write. Examples include CD and DVDs. E. Magnetic media that provides a large amount of data space-enough to hold multiple operating systems as well as a large number of files. Has a lifespan of about five years due to wear and tear on moving parts. F. Media that uses no moving parts and stores data on electronic circuits. Examples Include Flash memory and USB Drives.

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jasmine c.