Numerade

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This is a convenient representation of number of valence electrons and is written simple by using the chemical symbol of the elements and the dots represent the valence electrons present. For example, Electron dot symbol for Calcium is [.Ca.] and the Lewis dot symbol of Calcium ion is [Ca ]2+ .The reason for the absence of 2 dot, representing valence electrons in Calcium ion is those 2 electrons have been lost to attain stability.

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When a sarcomere relaxes, _______________. the muscle contracts the Z lines get closer together an electric impulse is no longer conducted along the muscle fiber it shortens

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Data visualization is critical to both human and artificial intelligence. ? True ? False

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19. Assuming that the radial component of fluid flow through a centrifugal pump remains constant and that the fluid enters radially, then prove that the ratio of pressure head Hp to velocity head Hv created by the impeller (neglecting losses) is given by: \frac{H_p}{H_v} = \frac{\frac{P_2 - P_1}{\gamma}}{\frac{V_2^2 - V_1^2}{2g}} = \frac{u_2^2 + v_{f2}^2 \cot \beta_2}{u_2^2 - v_{f2}^2 \cot \beta_2}, where u is rim speed of impeller at outlet, $v_f$ is the velocity of flow and $\beta_2$ is the vane outlet angle. Hence show that the hydraulic efficiency of the impeller is given by: $\eta = \frac{u_2^2 + v_{f2}^2 \cot \beta_2}{2u_2^2}$

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16. Apply the Intermediate Value Theorem to the function f() = x2 to prove that there is a number c in the interval (1, 2) such that c2 = 2. Remark This proves the existence of the number /2.

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HW Question #2: The Nyquist sampling rate of a signal is the minimum rate $\omega_s = 2\pi/T_s$ for which the signal may be sampled for which no aliasing occurs from its samples. The Nyquist rate is equal to 2 times the largest non-zero frequency in the Fourier transform. Determine the Nyquist rate $\omega_s$ (in angular frequency) for the following signals. (a) $x(t) = \cos(21\pi + 2.1)$ (b) $x(t) = \cos(t)\cos(3t)\cos(7t) + \sin(10t)$ (c) $x(t) = \cos(2t)e^{j3t}$

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Question 1 For the loaded beam determine the maximum moment 1100 N 2600 N-m A B 1.2 m 1.0 m 1.3 m Mmax = 2600 N-m Mmax = 2125 N-m Mmax = 515 N-m Mmax = 1486 N-m

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Question 4 Investment banks engage in which of the following activities? trading securities for investors in the secondary market selling insurance mergers and acquisitions setting SEC fees

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Find $V_o$ with the input $v(t) = 100 \cos 3t$ using the Fourier transform

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PLEASE SOLVE USING EXCEL WITH CALCULATIONS SHOWN FOR POSITIVE REVIEW You are planning to buy a house in Toronto that has a price of $51,200,000. One of the local banks has offered you a mortgage quoted rate of 4.0% per year. Interest will be compounded semi-annually. The bank has indicated that they will require a 20.0% down payment. The bank is prepared to lend you the remainder of the purchase price of the house. The amortization period will be 30 years and the term of the mortgage will be years. You are going to make monthly payments on your mortgage. The payments will be made at the end of each period. You have heard from your friend who has just completed AFF2IO, that by making additional payments on your mortgage during the initial term, you can reduce the remaining balance at the end of the initial term. Your friend has shown you a sample amortization schedule template (below). Sample Mortgage Schedule Payment Number Principal Amount Owing Before Payment Principal Payment Interest Expense Incurred during the Payment Amount Principal Component Amount Paid at the Beginning of the End of Period Payment month Answer the following questions: What is the amount of your periodic payment? How much will you pay in total on your mortgage over the life of your mortgage? What is the total interest that will be paid over the life of your mortgage? What is the total you paid during the term of the mortgage? What is the balance owing on the mortgage at the end of the term? How much principal will you have paid off during the initial term of your mortgage? How much interest will you have paid off during the initial term of your mortgage? Prepare a mortgage amortization schedule to illustrate how the mortgage will be repaid over the next 30 years and calculate the following: Use the amortization table to determine the first payment where the interest portion of the payment is less than 30% of the total payment. Identify the payment number where this occurs. Assuming that you decide to make additional annual payments of $12,000 during the initial term of your mortgage, how much less do you owe to the bank at the end of the term? The extra payments will be made in months 12, 24, and 36. Assuming you make no additional extra payments during the life of your mortgage, how much interest do you save by making the extra payments during the initial term of your mortgage?

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johnathan h.