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andrew hicks

andrew h.

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A man pushes off a wall and slides across a wooden floor, slowing down as he travels. Which force does work on the man?

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14. (4 pts.) Show how you could transform the molecule ethyne into 2-pentanone as shown below. You will need to fill in the box with any necessary reagents in the proper order. 1. NaNH$_2$, NH$_3$ 2. CH$_3$Br 3. NaNH$_2$, NH$_3$ 4. CH$_3$CH$_2$Br 5. BH$_3$:THF 6. H$_2$O$_2$, NaOH H-C$\equiv$C-H +

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tion 4 ate the specific heat capacity of a metal knowing that when a 52.6 g block of the metal initially at ed in 136 g of water initially at 21.5 °C (C = 4.184 J/g.K), the final temperature of the water is 29. thermal equilibrium has been reached. Assume that no heat is lost to the surroundings. t the value of the specific heat capacity of the metal in the units of J/g-K and to two decimal place 1.08

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PROBLEM 17 What is the product of each of the following reactions? + a. I C \stackrel{L_2Pd}{(CH_3CH_2)_3N} N Br b. + O \stackrel{L_2Pd}{(CH_3CH_2)_3N} NH_2 Br c. + \stackrel{L_2Pd}{(CH_3CH_2)_3N} OCH_3 d. Br + \stackrel{L_2Pd}{(CH_3CH_2)_3N}

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If the growth rate of the money supply increases by 7% and the growth rate of the velocity of money decreases by 5%, what will happen to the total spending growth rate in the economy? Group of answer choices increase by 35% decrease by 2% decrease by 35% increase by 2%

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3. A 10-kg disk with radius $r = 0.4$ m rolls on a horizontal surface without slipping with an angular velocity of 3 rad/s. Determine the disk's kinetic energy. The moment of inertia of a disk about its center of mass G is \(I_G = \frac{1}{2}mr^2\).

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a) Show that a convex function of a martingale is a submartingale. In other words, let M0, M1, ..., MN be a martingale and let f be a convex function. Show that M0 ≤ M1 ≤ ... ≤ MN is a submartingale. Hint: Use Jensen's inequality. b) Prove that if x = x - Kx0, then x ≤ x0 ≤ X ≤ 1. Consider now an American call option in a non-dividend paying stock. Consider an N-period multiplicative binomial with initial stock price S0 and with u as the up factor, and d as the down factor, so that for SH = uSo and ST = dSo, SHH = uSoSo and SHT = STH = udsO, STT = dSo. Assume also a constant positive annual continuously compounded interest rate r > 0, and let the time step T = 1. c) Use the fact that o = (x - K)+ is a convex function and part b, to conclude that it is never optimal to exercise an American option before maturity. That is, show that E[c - f(N - nSN)] ≤ oSn0 ≤ n ≤ N.

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4. Consider the interpolating polynomial for $f(x) = \frac{1}{x+2}$ with interpolation nodes $x = 0, 2, 4$. (a) (15 points) Find the Lagrange form and Newton form of the interpolating polynomial $P_n(x)$. What is the degree $n$ of your interpolating polynomial? Expand out the Lagrange and Newton forms to verify whether they agree with each other. Explain why. (b) (10 points) Find an upper bound for the polynomial interpolation error at $x = 1$.

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6. Admittance is the inverse of the impedance and is measured in (1) Siemens 2) Conductance 3) Ohms 4) Degrees 5) None of the above 7. Pure inductive load... ELE2601/101/3/2019 1) Takes power from the line during some part of the cycle and then returns back to it during the other part of the cycle 2) Consumes some power on average 3) Doesn't take any power from the line 4) None of the above 8. If a coil has a resistance of 1k\Omega and 0.15H inductance is connected in parallel with a variable capacitor across a 2.0V, 10 kHz supply. What will be the capacitance of the capacitor when the supply current is at minimum; 1) 0.0075F 2) 1.5nF 3) 1.45nF 4) 1.69nF 9. In a loss free RLC circuit, the transient current is 1) Sinusoidal 2) Non-oscillating 3) Square wave 4) Oscillating

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A continuous piece-wise linear graph is constructed from the following linear graphs. y = 2x+1, x ? a y = 4x-1, x > a By solving the equations simultaneously, find the point of intersection and hence state the value of a. Sketch the piece-wise linear graph.

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