Numerade

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1. Draw the major product(s) of the following reactions. Explain, using structures and a minimum of words why B reacts more slowly than A. Draw the mechanism using the curved-arrow formalism to show the formation of the major product from A. [4 pts] H$_3$C CH(CH$_3$)$_2$ NaOCH$_3$ A H H$_3$C CH(CH$_3$)$_2$ Cl NaOCH$_3$ B

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Consider the following graph. (Note: The curve ends at the point (7,6).) y -5 -4 -3 -2 -1 x 1 2 3 4 5 6 (a) Find the interval(s) on which $f$ is increasing. (Enter your answer using interval notation.) (b) Find the interval(s) on which $f$ is decreasing. (Enter your answer using interval notation.) (c) Find the interval(s) on which $f$ is concave upward. (Enter your answer using interval notation.) (d) Find the interval(s) on which $f$ is concave downward. (Enter your answer using interval notation.) (e) Find the coordinates of the inflection point(s). (Order your answers from smallest to largest $x$, then from smallest to largest $y$.) $(x, y) = (\quad)$ $(x, y) = (\quad)$ $(x, y) = (\quad)$

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Which one of the following statements concerning stock exchanges is correct? Multiple Choice Nasdaq is a broker market. Most debt securities are traded on the NYSE. The exchange with the strictest listing requirements is Nasdaq. The NYSE is a dealer market.

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A mixture of 1-heptyne, 2-heptyne, and 3-heptyne was hydrogenated in the presence of Pd/C. If one assumes that the hydrogenation went to completion, how many seven-carbon hydrocarbons were produced? Group of answer choices 6 8 3 2 1

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A thin nonconducting rod with a uniform distribution of positive charge Q is bent into a circle of radius R (see the figure). The central perpendicular axis through the ring is a z axis, with the origin at the center of the ring. What is the magnitude of the electric field due to the rod at (a) z=0 and (b) z=? (c) In terms of R, at what positive value of z is that magnitude maximum? (d) If R=2.17 cm and Q=4.05 $\mu$C, what is the maximum magnitude?

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A semicircular wire of radius R is uniformly charged with Q = 5.40 and located in a two-dimensional coordinate system as shown in the figure. A point charge Q = 2.3Q is placed at 0.58R on the y-axis. Determine the electric field at point O in terms of kQ/R, where P is the unit vector. Take Ï€ = 3.14 and provide your answer with two decimal places.

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(numerical solution of two-body problem) In class we solved (following Newton!) the orbits of the inverse square force analytically. It turns out that the behavior for other central forces is very different. Here we consider a modified potential $V(r) = -k/r^a$. This could be reduced as above to a 1D problem, but here instead we will use a computer to analyze the motion in a plane using Cartesian coordinates. Try to include one good-looking orbit print-out for (c), but words and sketches are generally accepted. (a) Show that the equations of motion are $\ddot{x} + x \left(\frac{\alpha k/\mu}{(\sqrt{x^2 + y^2})^{\alpha+2}}\right) = 0$, $\ddot{y} + y \left(\frac{\alpha k/\mu}{(\sqrt{x^2 + y^2})^{\alpha+2}}\right) = 0$.

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Question 1 A cyclone separator shown in the figure is used to remove fine solid particles such as fly ash that are suspended in a gas stream. In the flue gas system of an electrical power plant, the weight fraction of fly ash in the exhaust gases is approximately 0.001. Determine the mass flow rates at the two outlets (flue gas and fly ash) when 10 kg/s of flue gas and ash mixture enters this cyclone unit. Determine the amount of fly ash collected per year. Question 2 A desktop computer is to be cooled by a fan whose volume flow rate is 0.34 m^3/min. Determine the mass flow rate of air through the fan at an elevation of 3400 m where the air density is 0.7 kg/m^3. If the average velocity of air is not to exceed 110 m/min, determine the diameter of the casing of the fan. Question 3 A 300-liter storage tank of a solar water heating system is initially filled with warm water at 45Â°C. Warm water is withdrawn from the tank through a 2 cm diameter hose at an average velocity of 0.5 m/s, while cold water enters the tank at 20Â°C at a rate of 15 LPM (liters per minute). Determine the amount of water in the tank after a 20-minute period. Assume the pressure in the tank remains constant at 1 atm. Cold water: 20Â°C, 15 L/min Tank: 300 L, 45Â°C, 0.5 m/s

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Determine the inverse Laplace transform of 10-10 G(s) = s^2 - 18s + 97 g(t)

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Write a C function, unsigned int countOdd(char strFileName[]), that opens the requested file and counts the total number of odd numbers in the file and returns this value. Include a main function that calls this function with several values to test the function.

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evelyn m.