Numerade

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2. (a) The circuit shown in Figure 2 has three resistors R1 = 100 Ω, R2 = 50 2, and R3 = 20 2 and galvanic cells with e.m.f.s E1 = 2 V and E2. The internal resistance of the ammeter and cells are negligible. The ammeter measures a current of 0.20 A (i) Determine the current in each resistor (ii) the e.m.f. E2 of the second cell and (iii) the potential drop across each resistor. Explain the reason for any negative signs in your answers. [16 marks] B E1 C 11 12 A R1 R2 D R3 13 N (mA M E2 Figure 2 (b) When an e.m.f.source of 4.2 V is connected to a resistor of 5.4 2, the current in the circuit is 0.6 A. (i) Determine the internal resistance of the e.m.f. source. (ii) Find the terminal p.d. and the 'lost volts'. (iii) Find the rate of heat dissipation by the e.m.f source and by the resistor. (iv) If the resistor is replaced with a load of resistance R, find the maximum power output and the efficiency at this point. [8 marks]

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Which of the following disorders commonly shows these symptoms: diplopia, ptosis, dysphonia, and dysphagia? Group of answer choices Scleroderma Myasthenia gravis Lupus Type I diabetes

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Question 1: Define diffusion, tensile test, solubility limit, Frenkel defect, eutectoid reaction and ceramic crystal structure $A_mB_nX_p$-Type ?

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(1 point) Find an equation of the curve through (1,1) the slope of whose tangent line at ($x$, $y$) is $y^5/x^8$. Express your answer as $y^{-4} = 7(4x^{-7} + 3)$

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Why did former Federal Reserve Chair Paul Volcker increase interest rates to 20% in the 1970s? a. To increase the number of new jobs b. To increase wage growth c. To decrease the inflation rate d. To decrease the unemployment rate

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State whether L'Hôpital's Rule applies or not. \lim_{x \to 19} \frac{x^2 - 361}{285 - 4x - x^2} Does L'Hôpital's Rule apply? No Yes If L'Hôpital's Rule applies, use it to evaluate the limit. (Use symbolic notation and fractions where needed. Enter DNE if L'Hôpital's Rule cannot be used.) \lim_{x \to 19} \frac{x^2 - 361}{285 - 4x - x^2} =

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Determine the convergence or divergence of the series. a. $\sum_{n=0}^{\infty} 9^{-n}$

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2. (24 pt) For both molecules perform the following: i.Draw an energy level diagram of the $\pi$ orbitals ii. Label each level as bonding, nonbonding or antibonding iii. Indicate if it is closed or open shelled system and then aromatic or antiaromatic iv. Draw the orbitals for $\psi_3$ (3rd level), indicating all bonding & antibonding interactions of the cyclohexadiene.

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The partial fraction decomposition of the rational function \frac{x+1}{x^2(x-1)} has the form $\circ \frac{A}{x} + \frac{A}{x^2} + \frac{C}{x-1}$ $\circ \frac{A}{x} + \frac{Bx+C}{x^2} + \frac{D}{x-1}$ $\circ \frac{A}{x} + \frac{B}{x^2} + \frac{C}{x-1}$

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Part A Select the correct equations that show that the acceleration of a car is 10 km/(h \cdot s) when starting from rest to 100 km/h in 10 s.

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