Numerade

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An athlete runs 87.7 m across a level field at an angle of 18.3º south of west. What is the y-component of this displacement?

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for Employment Insurance premiums. Calculate the total Employment Insurance premium remittance owing to the Canada Revenue Agency on this payroll, assuming the employer does not have a reduced rate. 65242.50 Question 3 (1 point) The employer portion of Canada Pension Plan contributions is calculated as: 1.4 times the employee portion 1.4% of the employee portion 50% of the employee portion 100% of the employee portion Question 4 (1 point) The total of the employee portion of Canada Pension Plan contributions for the

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Find the Fourier series of the function defined by: $$f(x) = \begin{cases} 2 + \frac{2x}{3} & \text{if } -6 < x < 0 \\ 2 - \frac{2x}{3} & \text{if } 0 < x < 6 \end{cases}$$ and $f(x + 12) = f(x)$. $$f(x) = \frac{4}{\pi^2} \left( \cos(\frac{\pi x}{2}) + \frac{\cos(\frac{3\pi x}{2})}{9} + \frac{\cos(\frac{5\pi x}{2})}{25} + \frac{\cos(\frac{7\pi x}{2})}{49} + ... \right)$$ $$f(x) = \frac{8}{\pi^2} \left( \cos(\frac{\pi x}{2}) + \frac{\cos(\frac{3\pi x}{2})}{9} + \frac{\cos(\frac{5\pi x}{2})}{25} + \frac{\cos(\frac{7\pi x}{2})}{49} + ... \right)$$ $$f(x) = \frac{16}{\pi^2} \left( \cos(\frac{\pi x}{6}) + \frac{\cos(\frac{3\pi x}{6})}{9} + \frac{\cos(\frac{5\pi x}{6})}{25} + \frac{\cos(\frac{7\pi x}{6})}{49} + ... \right)$$ $$f(x) = \frac{8}{\pi^2} \left( \cos(\frac{\pi x}{6}) + \frac{\cos(\frac{3\pi x}{6})}{9} + \frac{\cos(\frac{5\pi x}{6})}{25} + \frac{\cos(\frac{7\pi x}{6})}{49} + ... \right)$$

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(2.8) Einstein versus Debye* In both the Einstein model and the Debye model, the high-temperature heat capacity is of the form C = Nk_B(1 - (kappa)/(T^2) + ...). ▹ For the Einstein model, calculate kappa in terms of the Einstein temperature. ▹ For the Debye model, calculate kappa in terms of the Debye temperature. From your results, give an approximate ratio (T_Einstein)/(T_Debye). Compare your result to the values for silver given in Fig. 2.4. (The ratio you calculate should be close to the ratio stated in the caption of the figure. It is not exactly the same though. Why might it not be?)

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Problem 3. Stacks and Queues. (35%) 1) For an empty stack, given the push-in sequence i, j, k, find all possible pop-out sequences that consist of all the three elements (5%). 2) For an empty stack, given the push-in sequence 1, 2, 3, 4, ..., n and the pop-out sequence P1, P2, P3, P4, ..., Pn. If P1=n, what is the value of Pi (1?i?n)? Explain your answer (5%). 3) Describe how to use two stacks to sort numbers (n>2). Assume the numbers are nonredundant, and you are allowed up to two extra variables to store the pop out values (15%).

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an RECTIO UPLOAD on CANVAS provide your answers. by OCTOBER 18, 2023. FORMAT ALLOWED: PDF or Word. NO JPEG format is allowed. Use 8.5x11 blank/white computer paper to

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1. Write the two most used polymer processing operations names. 2. Write the three section names for an extruder. 3. Write two screw variables' names. 4. Write an example where blow molding is used. 5. What is rheology and define Newtonian fluid rheology?

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You may wish to use spreadsheets for some of these calculations. 18. Calculate the pH at 0, 10.0, 25.0, and 30.0mL of titrant in the titration of 50.0 mL of 0.100 M NaOH with 0.200 M HCI. 19. Calculate the pH at 0, 10.0, 25.0, 50.0, and 60.0 mL of titrant in the titration of 25.0 mL of 0.200 M HA with 0.100 M NaOH. $K_a = 2.0 \times 10^{-5}$. 20. Calculate the pH at 0, 10.0, 25.0, 50.0, and 60.0 mL of titrant in the titration of 50.0 mL of 0.100 M $NH_3$ with 0.100 M HCI. 21. Calculate the pH at 0, 25.0, 50.0, 75.0, 100, and 125% titration in the titration of both protons of the diprotic acid $H_2A$ with 0.100 M NaOH, starting with 100 mL of 0.100 M $H_2A$. $K_{a1} = 1.0 \times 10^{-3}$, $K_{a2} = 1.0 \times 10^{-7}$. 22. Calculate the pH at 0, 25.0, 50.0, 75.0, 100, and 150% titration in the titration of 100 mL of 0.100 M $Na_2HPO_4$ with 0.100 M HCl to $H_3PO_4$.

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r (m) mh (kg) t (s) 0.1825 0.0901 84.51 0.2430 0.13124 78.40 0.2610 0.14348 82.71 0.2980 0.16864 76.59 0.3425 0.1989 78.11

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1. Assignment: 1) Find and write down a real-life engineering problem (real data and background) of your own interest, with necessary references on their sources. 2) Do mathematical modeling about it: a) Formulate a mathematical problem, in a formal math format of a math problem. b) Solve it, using what we learn in the class. c) Interpret it.

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jill g.