Numerade

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A to B X Problem 14 (5 pts) Given the rod fixed at one end shown in Fig. 3, with $t_0$ = 150 N-m/m., d = 25.0 mm, L= 800 mm and G = 60.0 GPa. Find the rotation at point B, $\phi_B$. Use the proper sign convention for $\phi$.

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6. Using the branch where -π < θ < π for the function f(z) = √z, with z = r e^(iθ), show that the residue of the function: f(z) = (√z) / (1 - z) at z = 1 is -1. If we choose the branch (2n-1)π < θ < (2n+1)π, where n is an integer, what is the value of the residue at z = 1? Justify.

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1. Balance each of the following equations: a. Fe$_2$O$_3$(s) + C(s) $\rightarrow$ Fe(s) + CO$_2$(g) b. C$_3$H$_8$ + O$_2$ $\rightarrow$ CO$_2$ + H$_2$O c. KI + Fe(OH)$_3$ $\rightarrow$ KOH + FeI$_3$ d. CaCO$_3$ + H$_3$PO$_4$ $\rightarrow$ Ca$_3$(PO$_4$)$_2$ + H$_2$CO$_3$

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Q4 20 marks]: Consider the thyristor circuit shown in Fig. 1(a), plot the voltage across and the current through the resistance B according to the input v, shown in Fig.1(b). Assume the thyristor's break down and breakover voltages are 200V and its maximum current is 50A. Also, let R=10Omega and the peak values of v_(s)=+-400V, show all your work and calculations. Fig. 1(a): Thyristor circuit for Q4.

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Solve the initial value problem $x^2 \frac{dy}{dx} = y$, with $y(1) = 1$ This problem will be graded entirely from your written work that you submit. You can type \"See written work\" in the box below.

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Natural selection can best be defined as: Some organisms are better adapted to their environment and outcompete others. Some organisms produce more fertile offspring. Organisms better adapted to their environment tend to survive and produce more offspring.

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1. A probability experiment was conducted. Which of the following cannot be considered and outcome of the experiment? a. ( rac{1}{3} ) b. 0.80 c. 0 d. 22 2. The data below represents the number of miles run during one week for a sample of 20 runners. Find the mean of the distribution. The grouped mean formula is given below" Note: the formula for group mean is ( X=rac{Sigma f x_{m}}{n} ) where ( f ) is frequency, ( x_{m} ) is the midpoint of ( x ) and ( mathrm{n} ) is total frequency 3. An instructor grades exams, ( 20 % ); term paper, ( 30 % ); final exam, ( 50 % ). A student had grades of 83 , 72 and 90 , respectively, for exams, term paper, and final exam. Find the student's final average. Use the weighted mean. 4. For the numbers below, select a number at random and find the probability that: a. The number is even b. The sum of the number's digit is even c. The number is greater than 50 5. A couple has three children. Find the probability that: a. All are boys or girls b. Exactly two are boys or girls 1.A probability experiment was conducted.Which of the following cannot be considered and outcome of the experiment? b.0.80 d.22 2. The data below represents the number of miles run during one week for a sample of 20 runners. Find the mean of the distribution. The grouped mean formula is given below Class 5.5-10.5 10.5-15.5 15.5-20.5 20.5-25.5 25.5-30.5 30.5-35.5 35.5-40.5 Frequency 1 2 3 5 4 3 2 Midpoint fx n is total frequency 3, An instructor grades exams,20%;term paper,30%final exam,50%.A student had grades of 83, 72 and 90,respectively,for exams,term paper,and final exam.Find the student's final average. Use the weighted mean. 4.For the numbers below,select a number at random and find the probability that: a.The number is even b.The sum of the number's digit is even c.The number is greater than 50 5.A couple has three children.Find the probability that: a.All are boys or girls b. Exactiy two are boys or girls

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Text: Use the remainder theorem to find the remainder factor of f(x). f(x) = 2x^3 - 5x^2 + 8x - 3.

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2. The beam is supported by a pin at A and a short link BC. If P=15 kN, determine the shear stress in pins A, B, and C. All pins are in double shear with diameter 18 mm (6 pts)

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Exercise 1 Figure 1 shows a memory decoding circuit. Answer the following questions based on Figure 1. A15 - A12 Figure 1 (a) Explain the important of memory decoding circuit (2 marks) (b) Identify the type of memory used in Figure 1. Justify your answer. RAM \rightarrow WR pin, (2 marks) (c) Determine the memory size. 8K byte A0 \rightarrow A12 \rightarrow 2^{13} = 8 Kbyte (2 marks) (d) Identify the minimum and maximum address for the memory. min: FC000H , F8000H , max: FDFFFH , FFFFFH , FFFFFF F4000H F5FFF FA0008 FB FFF A15 - A12 | A11 - A7 | A7 - A3 | A3 - A0 1 1 1 1 | 1 1 0 X | X | X | X | O H min: F C O O max: F D F F

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kristina a.