Numerade

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Q3. (a) Starting from the definitions of cosh and sinh in terms of exponentials, prove that $\cosh(A - B) = \cosh A \cosh B - \sinh A \sinh B$ (b) Hence, or otherwise, given that $\cosh(x - 1) = \sinh x$, show that $\tanh x = \frac{e^2 + 1}{e^2 + 2e - 1}$

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A purposeful conversation between 2 or more people, requiring the interviewer to establish rapport, to ask concise and unambiguous questions, to which the interviewee is willing to respond, and listen attentively.

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A rectangle was measured to have the dimensions of 10.8 meters long and 2.755 meters wide. Area is defined as length times width for a rectangle. What is the area of the rectangle? 29.754 30. 29.8 29.75

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Which of the following is a characteristic of a behavior? Multiple Choice all expressed thoughts actions that can be observed all mental processes any internal feelings

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When the Federal Reserve sells a government bond to a primary dealer, reserves in the banking system ______ and the money supply ______, everything else held constant. increase; increases decrease; increases decrease; decreases increase; decreases

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Q4: The pie chart shows types of properties in a street with 80 properties. (a) Work out the percentage of properties that are semi-detached. (b) Work out the number of semi-detached properties.

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Compare the convective heat flux to the radiative energy flux from a human body with a skin temperature of 35°C in a surrounding air temperature of 0°C and a heat transfer coefficient of 20 W/(m^2K). Assume the emissivity is 0.98. Provide answers in W/m^2.

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11. The natural frequency of a spring can be reduced by reducing the weight of the wire. True_ False__. 12. For both shaft design and spring design, the running frequency should be at least two times lower than the first mode of natural frequency. True_ False__. 13. Considering the contact fatigue of a gear, the wear factor should be higher than the gear factor. True_ False__. 14. The Sines method and Zimmerli data were only applicable for torsional stress analysis. True_ False__.

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Identify the peritoneal pouches located anterior and posterior to the uterus in the female pelvis. Indicate which of these peritoneal pouches forms the inferiormost extent of the peritoneal cavity in the female pelvis in the anatomical position. Identify the equivalent/homolog peritoneal pouch in the male pelvis. You must use correct anatomical terminology and correct spelling to gain full marks. Do not use eponymous names. Write your answers in the spaces below. (4 marks; 1 mark each for correct pouch name) Anterior pouch (female): Posterior pouch (female): Inferiormost pouch (female): Peritoneal pouch (male):

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A digital binary communication system with data rate 110 bits/sec and AWGN psd No= 0.01 uses the following signals to represent binary digits 1 and 0, respectively: s?(t) = 1.7, 0? t ? 1/110 So(t)= -2s?(t), 0? t ? 1/110 Find the threshold, employed at the receiver, which minimizes the average probability of error of the optimum receiver assuming the two transmitted signals are equally probable. The answer should be a number rounded to 5 decimal digits (the minus sign is accepted while other symbols like % are not) Find the average energy per signal assuming that the two signals are equally probable.

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amy e.