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Answer the question based on the following table, which shows a demand schedule. Quantity Price Demanded $5 10 7 4 13 3 15 2 19 1 25 Total revenues will decrease if price Multiple Choice rises from $2 to $3. rises from $4 to $5.

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Evaluate the following integral.\\ $\int_0^2 x(x - 3)dx$\\ $\int_0^2 x(x - 3)dx = \boxed{}$ (Simplify your answer.)

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We consider replacing an existing electrical water heater with an array of solar panels. The net installed investment.cost of the panels is $1,400 ($2,000 less a 30% tax credit from the government). Based on an energy audit, the existing water heater uses 200 kilowatt hours (kWh) of electricity per month, so at $0.12 per kWh, the cost of operating the water heater is $24 per month. Assuming the solar panels can save the entire cost of heating water with electricity, answer the following questions. What equation can you use to find the IRR of this investment if the solar panels have a life of 10 years? A) 0 = -$1,400 + $24 (P/A, i% per year, 10 years) B) 0 = -$1,400 + $24 (A/P, i% per month, 120 months) C) 0 = -$1,400 + $24 (P/A, i% per month, 120 months) D) 0 = -$1,400 + $24 (A/P, i% per year, 10 years)

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Make an analog gate diagram with aeronautical application. Assume that the right AND circuit has one output and must output 1.

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Question 33 If a child has an easy temperament, what attachment style is that child more likely to develop? O secure O avoidant O ambivalent O disorganized Question 34

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mCPBA HO 1. NaH 2. CH3I PBr3 1. LAH 2. H+/H2O 1. A 2. H+/H2O Mg dry ether PCC A ? -+ H2CPPh3 NH2

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A researcher wanted to design a muscle that would contract quickly, but relax slowly. Which mutation listed below would cause the muscle to relax more slowly? Fast myosin heavy chain isoform More sarcoplasmic reticulum Increased abundance of voltage gated calcium channels Reduced acetylcholinesterase activity

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(a) Find $f_x(0,0)$ if $f(x, y) = \frac{e^{3x+2y}}{3x+5}$ (b) Given $f(x,y) = e^{-2y}cos2x$, show that $f_{xx} + f_{yy} = 0$. (c) Use the chain rule to calculate $\frac{\partial z}{\partial u}$; given $z(x,y) = e^{x^2y}$, where: $x(u, v) = \sqrt{uw}$ $y(u, v) = \frac{1}{v}$ Express your result in terms of u and v. (d) Find the rate of change of the area of a rectangle in the instant when it is 60cm long and 30cm wide, if the length decreases at a constant rate of 5 cm/s and the width increases at a constant rate of 8 cm/s. (e) Find the minimum value of $f(x,y) = 2x + 3y$, subject to the constraint $g(x,y) = x^2 + 2y^2 - 34$. (f) Find the rate of change of $f(x, y) = 3x^2 + 2xy^2$ at $(-1, 3)$ measured in the direction $2i + j$

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31/2 in T-95, 15.5 lb/ft MTC (wall thickness = 0.476 in) tubing is landed in a well, which is filled with 9.1 ppg completion fluid (tubing is also filled with the same fluid). A packer, having a bore diameter of 41/2 in, is present at 8,500 ft, which can be assumed as the bottom of the wellbore. The production casing is 65/8 in N-80, 32 lb/ft BTC (wall thickness = 0.475 in). Then, 0.7 sp.gr. oil is produced from this well through the tubing. As the production starts, the measured pressure at the surface inside the tubing is 1375 psi. Frictional losses are negligible. Average temperature change is 30°F. Estimate the length change due to piston effect only. Young's modulus is 30 x $10^6$ psi, and Poisson's ratio is 0.3.

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1) Get the zeros, poles and step response of the following Mass Spring Damper transfer function. Assume that M= 10 Kg, C=0.1 and K = 1 KN/m \frac{1}{MS^2+CS+K}

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