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Sketch a cashflow diagram for the following transactions: A receipt of $1000 at t=1 Receipts in the form of a uniform payment series of $300 at t=3,4,5 A disbursement (expenditure) of $700 at t=7

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A satellite orbits the Earth at an initially constant distance (r) from the center of the Earth. Over time, this satellite slowly falls (thus, r decreases) to Earth as it orbits. Show that, as this happens, a clock on the satellite will slow down at a rate proportional to( 1)/(r).

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A particular radio station utilizes frequencies between commercial AM and FM, to avoid interference with these common bands. Randomized Variables f = 11.22 MHz What is the wavelength (in m) of a 11.22 MHz wavelength channel?

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(a) [5] Calculate the output values at nodes $ h_{1}, h_{2} $ and $ \hat{y} $ of this network for input $ \left\{x_{1}=0, x_{2}=1\right\} $. Each unit produces as its output the real value computed by the unit's associated sigmoid function. Show all steps in your calculation. (b) [10] Compute one (1) step of the backpropagation algorithm for a given example with input $ \left\{x_{1}=0, x_{2}=1\right\} $ and target output $ y=1 $. The network output is the real-valued output of the sigmoid function, so the error on the given example is defined as $ E=\frac{1}{2}(y-O)^{2} $ where $ O $ is the real-valued network output of that example at the output node, and $ y $ is the integervalued target output for that example. Compute the updated weights for both the hidden layer and the output layer (there are nine updated weights in total (i.e., the three incoming weights to node $ h_{1} $, the three incoming weights to node $ h_{2} $ and the three incoming weights to node $ \hat{y} $ ) by performing ONE step of gradient descent. Show all steps in your calculation.

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Which of the following points lies on the line $2x + 3y + 7 = 0$? ? $(3, \frac{13}{3})$ ? $(0, \frac{7}{3})$ ? $(-3, -\frac{1}{3})$ ? $(-3, 1)$ ? $(3, -8)$

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Let’s look at car collisions. Part of the point of crumple zones is to make the collision as inelastic as possible. Ideally, we would want a coefficient of restitution of 0. I’ll get you to think about why this is a good idea below. (a) Suppose a 1300 kg compact car going east collides head-on with a 2000 kg luxury car going west. Both are going at a typical "town speed" of 50 km/hr. Assuming that the crumple zones do their jobs and the coefficient of restitution is essentially zero, what is the velocity of both cars after the collision? Don’t forget to assess your answer. [2 marks] PHYS 1104 Assignment #5: Energy Due: Oct 25, 2023 (b) The damage to the cars is a change of state, which means it is connected to the internal energy. How much kinetic energy was converted to internal energy in the above collision? Again, assess. There is something in "Getting a Feel" which will help. [2 marks] (c) Suppose that we could build indestructible cars. So let’s replay the above collision, but with two indestructible cars. What would the coefficient of restitution be for the collision? Explain. [2 marks] (d) Find the velocities of the indestructible cars after the collision. The collision is identical to the one in 3(a) except for the cars being indestructible. Assess... [2 marks] (e) While it may be appealing to avoid the expense of your car being destroyed in an accident, why would the situation of indestructible cars colliding be very bad for the people inside the cars? Comparing your answers in the case with crumple zones vs. your answers in the case of indestructible cars should help you answer this. [Hint: think about acceleration]

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3. After adjustments at February 28, 2019, the end of the first full year of operations, the revenues were $300,000 and expenses were 5230,000, for a net Income of $70,000. The drawing accounts have debit balances of $19,000 (Keene) and $24,000 (Wallac entries to close the revenues and expenses and the drawing accounts at February 28, 20Y9. Refer to the Chart of Accounts for exact wording of account titles. Question not attempted. DATE DESCRIPTION Closing Entries PAGE 20 ACCOUNTING EQUATION LIABILITIES EQUITY JOURNAL Score: 0/99 POST. REF. DEBIT CREDIT ASSETS Feedback Check My Work Set up a column for each member and a total column. Allocate salary allowances and interest allowances. Allocate remaining Income. Close revenue and expenses to the capital accounts. Close the drawing accounts to the capital accounts. Points:

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Questions 1. Draw a Moseley plot, for the K$_\beta$ X-rays using the following energies in keV: Ne 0.858 P 2.14 Ca 4.02 Mn 6.51 Zn 9.57 Br 13.3 Zr 17.7 Rh 22.8 Sn 28.4 Determine the slope and compare with the expected value.

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1\) Given $G(s) = \frac{1}{s(s+2)(s+5)}$ in unity feedback Design a lead-lag compensator such that the dominant closed-loop poles are located at $s = -2 \pm 2\sqrt{3}i$ and the static error constant $k_v = 50$. Place the lead compensator zero at $-2$. Ensure that the overshoot with a step input is close to 16%, and the settle time is close to 2s, which are the specifications that determined the values of the closed-loop poles.

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1. Biddiyah IT Solutions Co. is considering purchasing a new wireless network for its main office. The new system will require several machines, equipment and wiring and will need an initial investment of OMR 200,000 in year 0 and another investment of OMR 150,000 in year 1. The after-tax cash inflows are: OMR 250,000 (year 2), OMR 300,000 (year 3), OMR 350,000 (year 4), and OMR 400,000 (year 5 and each year up to year 8). Find: a. The Net Present Value (NPV) assuming the required rate of return is 15%. b. The Payback Period (PBP). c. Should the project be accepted? Why?

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alexis c.