Numerade

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Find the given vector. Vector v= of length 16 making an angle of 30\deg with the x-axis.

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Summer II 2024 Christian Ley $ 07 / 10 / 243: 29 \mathrm{~F} $ HW Score: $ 46.67 \%, 14 $ of 30 Question 6, P.5.21 points Points: 0 of 1 Factor the given polynomial. \[ x^{2}-17 x+72 \] Select the correct choice below and, if necessary, fill in the answer box within your choice. A. $ x^{2}-17 x+72= $ $ \square $ B. The polynomial is prime. an example Get more help Clear all Check ???estion Question Question 2

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A generalised random walk is given by $dS = a(x, t)dt + b(x, t)dW$ where $a(x, t)$, $b(x, t)$ are given functions of space and time and $dW$ is a Weiner process i.e. $dW = \epsilon \sqrt{dt}$ and $\epsilon$ is a random number normally distributed with a mean of 0 and a variance of 1. (a) Simulate this random walk in 1 dimension with your own choice of $a(x, t)$ and $b(x, t)$ (do not use a constant value). 3 (b) Estimate the expected value for your walk after 2500 steps. (c) If the walk starts at $x = 0$, calculate the probability that $x > 0$ after 2500 steps.

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Texts: 1. The prices of low-coupon bonds tend to be more sensitive to a given change in interest rates than high-coupon bonds, other things held constant. True False 2. Which one in the following list is NOT a financial intermediary? a) Large commercial banks and regional banks. b) Mutual funds, pension funds, and hedge funds. c) Savings & Loans, and credit unions. d) A firm providing credit card transaction services for a bank. 3. What is true regarding long-term and short-term bonds (assume they have the same par value and coupon rate)? a) Long-term bonds have a higher interest rate risk; Short-term bonds have a higher reinvestment risk. b) Long-term bonds have a lower interest rate risk; Short-term bonds have a higher reinvestment risk. c) Long-term bonds have a higher interest rate risk; Short-term bonds have a lower reinvestment risk. d) Long-term bonds have a lower interest rate risk; Short-term bonds have a lower reinvestment risk. 4. The firm's cost of external equity raised by issuing new stock is the same as the required rate of return on the firm's outstanding common stock even after the consideration of flotation costs. True False 5. Funds acquired by the firm through retaining earnings have no cost because there are no dividend or interest payments associated with them, and no flotation costs are required to raise them, but capital raised by selling new stock or bonds does have a cost. True False 6. Which of the following statements about tax effects on capital components is true? a) There is a direct tax effect on the cost of debt. b) There is a direct tax effect on the cost of preferred stock. c) There is a direct tax effect on the cost of common equity. d) There is a direct tax effect on debt, preferred stock, and common equity.

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3) Find the local maximum and local minimum values of $f(x) = 2x^3 - 3x^2 - 12x + 1$.

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Consider a linear mapping y = Wx with y âˆˆ R^2, x âˆˆ R^2 and W âˆˆ R^2x2 with W = [1 2] Then the singular values of W are Ïƒ1 = 3, Ïƒ2 = 1. What is the condition number of W? Why does the condition number matter? (3 marks) 2. Corrected_text: Consider a linear mapping y = Wx with y âˆˆ R^2, x âˆˆ R^2 and W âˆˆ R^2x2 with W = [0.1 0.2; 0.1 0.3] Perform one gradient descent update step to W with a learning rate of Î± = 0.1 with the data point (x,yT) = ([1,1]T, [1,2]T) (one data point means we are doing "online learning"). Use the loss function L(W) = ||y - W||^2 (6 marks). 3. Corrected_text: Describe the purpose of using momentum as opposed to vanilla gradient descent. Explain the relevant problem with gradient descent and how momentum fixes this problem. (4 marks)

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4. In Classful addressing, an address in a block is given as 130.15.47.202. a. What is the prefix (n)? b. What is the number of addresses in the block? c. What is the first address? d. What is the last address? e. Draw an example network.

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Question 8 Not yet answered Marked out of 2.50 Flag question Consider the network depicted in the following figure, and determine the equivalent impedance seen looking into the open terminals if $\omega = 10$ rad/s 25 $\Omega$ Ca. 14.29 + j 7.477 $\Omega$ b. 16.29 + j 5.477 $\Omega$ Cc. 20.29 + j 1.477 $\Omega$ Dd. 18.29 + j 3.477 $\Omega$ 2H 2mF 55 $\Omega$ 20 $\Omega$

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3. Replace the loading system by an equivalent resultant force and moment acting at point O. F? = (300k) N and F? =(400i - 400j + 566k) N. (20 pts)

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On 10/12/2018, Jade Inc. paid $10,000 cash for rent to be used in 2019. • Prepare the journal entry that should be recorded for the cash payment on 10/12/2018 by filling "debit" or "credit" in the blank in front of each account, and filling the amount in the blank after each account (e.g., Credit Tax Payable 1000). Cash Prepaid Rent • Indicate the direction of effects of the journal entry on the elements of the balance sheet and income statement. Fill in each blank with "Increase", "Decrease", or "No Effect". Assets: Liabilities: Stockholders' Equity: Net Income:

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joshua j.