Numerade

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Draw the major organic product for this reaction. HO $K_2Cr_2O_7$ $H_2SO_4$ $H_2O$

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T/F: The Agriculture Adjustment Act was a government program that sought to raise crop/farmgood prices by setting production quotas and paying farmers to produce less. (Foner, Ch 21) O True O False

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Pressure included in the following phase diagram (see the direction of the arrow)? Temperature a) fusion b) sublimation c) freezing d) vaporization

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4. Find the minimum value of $\int_0^1 (y')^2 dx$ with the constraints $y(0) = y(1) = 0$ and $\int_0^1 y(x) dx = 1$. 4. Considering $\tilde{S} = \int_0^1 [(y')^2 + \lambda y] dx$, we get a stationary function $y = 6x(1 - x)$ and corresponding value $S_{min} = 12.$

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Find the slope of the tangent line to the curve $x = t^3 + 6t + 1$, $y = 2t - t^2$ at the point corresponding to the specified value of the parameter $t = -1$.

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You are examing a specimen on a slide. In your field of view, it moves upward and to the right. To keep the specimen in your field of view, you should move the slide A) up and to the left. B) down and to the left. C) up and to the right. D) rapidly back and forth.

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b) Calculate the average resistance and resistivity ($\rho$) and plot the graph of I-V for the constantan wires connected in series. (20 pts)

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Evaporation Double-effect evaporation with forward feed. A 10 wt% aqueous solution of MgSO4 at 14.7 psia and 70°F is sent to a double-effect evaporator system with forward feed at a flow rate of 16,860 lb/h, to be concentrated to 30 wt% MgSO4. The pressure in the second effect is 2.20 psia. The heating medium is saturated steam at 230°F. Estimated heat-transfer coefficients in Btu/h-ft$^2$ °F are 400 for the first effect and 350 for the second. If the heat-transfer areas of the two effects are the same, and boiling-point elevations are neglected, determine: (a) pressure in the first effect, (b) percent of the total evaporation occurring in the first effect, (c) heat-transfer area of each effect, and (d) economy.

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3. Consider a building modeled as a simple spring-mass-damper system. Suppose that the building's mass (mainly the supported roof) is $m = 5,000$ kg. The walls exert a restoring force modeling by a spring constant $k = 500,000$ newtons per meter and a damping constant $c = 20,000$ newtons per meter per second. a.) Write out the appropriate homogeneous DE to model this buildings motion given an initial position of 0.01 meters with zero initial velocity. b.) Using the equation from part (a), determine the roots and identify whether this system is overdamped, critically damped, or underdamped. Then find the general solution by hand. c.) Enter the original DE into Maple with the initial conditions included and find the particular solution. Then, plot the position function $x(t)$ against time on the interval $0 \le t \le 3$. Write the particular solution below, and attach the Maple output of the particular solution as well as the appropriate plot.

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Q2 (a) Differentiate the types of redundancy including the corresponding duration of the interruption and their typical applications. (9 marks) (b) Consider a medium-voltage controller using 4000 V, 1500 µF storage capacitors. (i) Calculate the amount of energy stored in one capacitor. (3 marks) (ii) Suppose that the converter can operate down to 50% of voltage. Identify the energy each capacitor unit can supply. (3 marks)

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michelle h.