Numerade

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Question 1. (9 Points) A solid circular bar ABC consists of two segments, as shown in the Figure. What is the allowable torque if the shear stress is not to exceed 30 MPa and the angle of twist between the ends of the bar is not to exceed 1.5°? (Assume G-80 GPa.) Answer: 60 mm T A B 1.6 m 1.2 m 50 mm C

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The fibers of the muscle are divided into three groups, each of which acts differently on the scapula.

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In Exercises 3-10, find an equation of the tangent plane at the given point. 3. $f(x,y) = xy^2 + x^3y^2$, $(-1,2)$ 4. $f(x, y) = \frac{y}{\sqrt{x}}$, $(4,-3)$ 5. $f(x, y) = x^2 + y^2$, $(4, 1)$ 6. $G(u, w) = \sin(uw)$, $(\frac{\pi}{6}, 1)$ 7. $F(r, s) = r^2s^{-1/2} + s^{-3}$, $(2, 1)$ 8. $g(x, y) = e^{x/y}$, $(2, 1)$ 9. $f(x, y) = \text{sech}(x - y)$, $(\ln 4, \ln 2)$ 10. $f(x, y) = \ln(4x^2 - y^2)$, $(1, 1)$

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Question 6 The average age that most children are completely ready to be fully toilet trained is 1-2 years old. O True O False < Previous

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1. Given the following two reactions $N_2(g) + O_2(g) \rightarrow 2NO(g)$ $2NO(g) + O_2(g) \rightarrow 2NO_2(g)$ $\Delta H^\circ = -180 kJ$ $\Delta H^\circ = -112 kJ$ calculate the enthalpy change for $N_2(g) + 2O_2(g) \rightarrow 2NO_2(g)$ a. -292 kJ b. 68 kJ c. 136 kJ d. 292 kJ e. 194 kJ

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Calculate the energy required to heat 577.0 g of ammonia from 62.2 °C to 69.0 °C. Assume the specific heat capacity of ammonia under these conditions is 4.70 J$\cdot$g$^{-1}\cdot$K$^{-1}$. Round your answer to 2 significant digits.

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Exploring Human Reproductive Cells Lab Report Worksheet

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wear regular clothes and they wear regular clothing as well, they will get a utility of 15 utils. Alternatively, if they dress up in costumes and other embarrassed by being the only ones in costumes, or the only ones not wearing costumes, so if they are dressed differently than other guests they will get a utility of -5 utils. The numbers in the following table reflect the utility Yakov and Ana get under each of the described outcomes. What Other People Wear Options Regular Clothing Costumes (1) Wear costume -5 15 (2) Wear regular clothing 15 -5 If the probability that other people wear regular clothes is 50%, then the expected utility from wearing costumes is 5, and the expected utility from wearing regular clothing is 5. Now, suppose Yakov and Ana consider a third option: wear costumes that can easily be converted into normal clothes. If Yakov and Ana can choose to dress up in costumes, knowing they have the option to convert to normal clothes, they now will get a utility of 15 utils, regardless of whether others 15; therefore, the value of the real option is 10. their outcomes and, thus, decreases the value of the real option to convert to normal clothes.

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3) Determine the domain of $(f \circ g)(x)$ where: a. $f(x) = x + 1$ and $g(x) = x^2$ b. $f(x) = 2$ and $g(x) = \log x$ c. $f(x) = \frac{1}{x - 2}$ and $g(x) = 2x - 4$

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1. a. Freon-12 (CF$_2$Cl$_2$) is commonly used as a refrigerant in central home air conditioners. The system is initially charged to a pressure of 70.6 psi. Express the pressure in the following units: torr, mm Hg, atmospheres (atm) b. A 25.0 L sample of gas contains 0.75 moles of bromine, Br$_2$. At the same temperature and pressure, how many moles of gas would there be in a 10.5 L sample? What is the mass of the gas? c. A sample of gas at 15 $^\circ$C and 0.90 atm has a volume of 2.58 L. What volume will this gas occupy is the temperature stays the same but the pressure is increased to 121 kPa? 2. a. A sealed balloon is filled with 1.00 L helium at 23 $^\circ$C and 1.00 atm. The balloon rises to a point in the atmosphere where the pressure is 225 torr and the temperature is -31 $^\circ$C. What is the change in volume of the balloon? b. A 3.75 L container is filled with 225 g neon gas. - If the pressure is 12.5 atm, what is the temperature? - If the temperature is 235 K, what is the pressure? c. A sample of hydrogen gas (H$_2$) has a volume of 8.56 L at a temperature of 10.0 $^\circ$C and a pressure of 1.5 atm. Calculate the moles and mass of H$_2$ molecules present in the gas sample.

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david p.