Numerade

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1 Review The internal loadings at a section of the beam in (Egure 1) are shown Part A Determine the in-plane principal stresses at point. Also compute the maximum in-plane shear stress this point 20 mm 200 mm 20 mm 20 mm С B 100 mm 10 kN.m 60 KN 80 KN x z 500 N·m

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2. (3) Predict the product for the following three reactions. NH2 1. CH3I (excess) 2. Ag2O 3. ? OH NaOH CI Br2 NaOH

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(a) Suppose that A is a square matrix such that det(A^3) = 0. Explain why A cannot be invertible. (7 points) (b) Let A and B be square matrices. Show that even though AB and BA may not be equal, it is always true that det(AB) = det(BA). (6 points) (c) Let U be a square matrix such that UU = I. Show that det(U) = 1. (7 points)

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Monochlorobenzene (M) is produced commercially by the direct catalytic chlorination of benzene (B) at 40°C and 120 kPa absolute. In the process, dichlorobenzene (D) is generated as a co-product: $C_6H_6 + Cl_2 \rightarrow C_6H_5Cl + HCl$ $C_6H_5Cl + Cl_2 \rightarrow C_6H_4Cl_2 + HCl$ Liquid and gas streams leave the reactor. The liquid contains 49.2 wt% M, 29.6% D, and the remainder unreacted B. The gas, which is sent to a treatment facility, contains 92%(v/v) HCl and 8% unreacted chlorine. Assume ideal-gas behavior. a) Draw a fully labelled flow chart, including temperature and pressure of each flow stream. Perform a degree of freedom analysis.

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A company sells 100,000 widgets made out of SiC. The Weibull parameters are $m = 10.0$ and $S_0 = 100$ MPa (with $V_0 = 1.00$ m$^2$). The widgets have a volume of $5.00 \times 10^{-3}$ m$^3$; they are loaded in uniform tension and experience a peak stress of 200 MPa during service. a. What is the probability of a widget failing during service if it experiences a stress of 200 MPa? (Answer: 4.99%) b. Before selling the widgets, the company proof tests them to 175 MPa. How many components can't be sold because they fail during the proof test? (Answer: 1,340) c. Hence, estimate the new probability of a widget failing during service if it experiences a stress of 200 MPa. (Answer: 3.70%)

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Label the structures of a motor (multipolar) neuron by clicking and dragging the labels to the correct location. Axon hillock Nucleolus Node of Ranvier Dendrites Synaptic knobs Cell body (soma) Nucleus Axon (nerve fiber) Schwann cell Axon collateral Reset Zoom

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4. Consider a random sample with distribution $f(y|\theta)$ in Problem 1 (ii). (i) Use the large sample theory (or CLT) for MLE $\hat{\theta}$ to construct an approximating $(1-\alpha)$ CI for $\theta$. (ii) If $n = 100$ and the data consist of twenty $\frac{1}{3}$ and eighty $\frac{2}{3}$ (this is highly unrealistic since the data are supposed to be independent, but nevertheless we use these for simplifying the calculation), what is the (approximating) 95% CI?

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For the range A20:A30, rotate the cell contents to 0 degrees.

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Species richness, genetic diversity and ecosystem diversity are all important components of Group of answer choices biodiversity carrying capacity density dependent population growth biogeochemistry frequency dependent population growth

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2. Damian is monitoring the temperature of the swimming pool. It is currently 86.8° and cooling 0.5° per minute. After how many minutes will the swimming pool be 80.8°? a. Equation: b. Solution:

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