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Weight loss at a rate of 3 pounds per week... O is the maximum rate of safe weight loss. O is lower than the maximum rate of safe weight loss. O is higher than the maximum rate of safe weight loss.

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Two point charges are placed at the two corners of a triangle as shown In Figure 1. The charges are $ q_{1}=+10 \mu \mathrm{C} $, and $ q_{2}=-10 \mu \mathrm{C} $. Figure 1 i) Draw a vector diagram and show the electric field vectors $ E_{1} $ and $ E_{2} $ at point $ X $ due to charge $ q_{1} $ and $ q_{2} $ respectively. (1 mark) i) Calculate the magnitude and direction of the resullant electric fieid at point $ X $. if matal

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Question 1: Two very large metal plates are separated by a distance of 80 cm and connected to a 6000 V power supply. A gun fires an electron through a hole in the positive plate. (This is rather silly, but work with me here.) We find that the electron barely reaches point A, the midpoint between the plates, before its stops and turns around. a) Find the electric field at point A. b) Find the initial velocity of the electron as it enters the region between the plates. c) The right plate is now moved closer so that the distance between the plates is only 40 cm. If the gun fires the electron at the same speed as before, will the electron reach the negative plate? Explain you answer.

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During DNA replication covalent bonds between the double strands need to be broken. Question 16 options: a) True b) False

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Make a sign diagram for the derivative of the rational function.\\ $f(x) = \frac{64}{x^2 + 6x - 7}$

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{x|−4 <= x <= 4, x an integer} write in roster form

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3. (30 points) Two resistors in an electrical circuit with resistance $R_1$ and $R_2$ wired in parallel with a constant voltage give an effective resistance of $R$, where $\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}$ (a) Find $\frac{\partial R}{\partial R_1}$ and $\frac{\partial R}{\partial R_2}$ by solving for R and differentiating. (a) (a) (b) Find $\frac{\partial R}{\partial R_1}$ and $\frac{\partial R}{\partial R_2}$ by differentiating implicitly. (b) (b) (c) Describe how a decrease in $R_1$ with $R_2$ held constant affects $R$.

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6. Charlie Brown's utility from chocolate and fries is U = 3C + F. Therefore, Charlie Brown is indifferent between a) an additional 1 unit of chocolate or an additional 3 units of fries b) an additional 3 units of chocolate or an additional 1 unit of fries c) an additional 2 units of chocolate or an additional 2 units of fries d) an additional 1 unit of chocolate or an additional 1 unit of fries

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The equilibrium constant, K, for the following reaction is 0.440 at 341 K. $NH_4HS(s) \rightleftharpoons NH_3(g) + H_2S(g)$ An equilibrium mixture in a 18.8 L container at 341 K contains 0.323 mol $NH_4HS(s)$, 0.882 M $NH_3$ and 0.499 M $H_2S$. What will be the concentrations of the two gases once equilibrium has been reestablished, if the equilibrium mixture is compressed at constant temperature to a volume of 11.1 L? $[NH_3] = [H_2S] = $

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at S 1 gut constant volume until x3 = 100%. Kinetic and potential energy effects are negligible. For 1.2 lb of ammonia, determine (a) the heat transfer and work for Process 1-2 and (b) the heat transfer for Process 2–3, all in Btu. 3.75 Three lb of water is contained in a piston-cylinder assembly, initially occupying a volume $V_1 = 30 \text{ ft}^3$ at $T_1 =$ 300°F. The water undergoes two processes in series: Process 1-2: Constant-temperature compression to $V_2 = 11.19 \text{ ft}^3$, during which there is an energy transfer by heat from the water of 1275 Btu.. Process 2-3: Constant-volume heating to $p_3 = 120 \text{ lbf/in.}^2$ Sketch the two processes in series on a T-v diagram. Neglecting kinetic and potential energy effects, determine the work in Process 1-2 and the heat transfer in Process 2-3 each in Btu. P376, a piston-cylinder assembly fitte Pa. 500

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