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- Given: R(N)=f(N)g(N) where f(N) = 7.2N and g(N) = (1 - 7.9/N. If R(N) = H means that R'(N) = 0 and H = 10.5N, what is the value of N that causes R'(N) = 0?The fraction of particles that have an x-component velocity between C and Cx + dCx is described by (7)¹/²e-mc3/2kT e-mc/2kT dCx. Derive the average value of the positive values of Cx.Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spaced from the origin by x = 6.1 cm. Each sheet consists of an infinite array of wires with a density n = 15 wires/cm. Each wire in the left sheet carries a current l₁ = 3.3 A in the negative z- direction. Each wire in the right sheet carries a current 1₂ = 4 A in the positive z-direction. R 1₁ H P % % OOOO OOO S X
- SECTION 4-3 DeMorgan's Theorems 9. Apply DeMorgan's theorems to each expression: (a) A + B (e) A(B + C) (f) AB + CD (g) AB + CD (b) AB (c) A + B + C (d) ABC (h) (A + B)C + D) 10. Apply DeMorgan's theorems to each expression: (a) AB(C + D) (b) AB(CD + EF) (c) (A + B+C + D) + ABCD (d) (A + B+ C + D)(AB CD) (e) AB(CD + EF)(AB + CD) 11. Apply DeMorgan's theorems to the following: (a) (ABC)(EFG) + (HIJ)(KLM) (b) (A + BC + CD) + BC (c) (A + B)(C + D)(E + F)(G + H) SECTION 4-4 Boolean Analysis of Logic Circuits 12. Write the Boolcan expression for cach of the logic gates in Figure 4-55. FIGURE 4-55 D B. (a) (b) (c) (d)a) What is the magnitude of energy (in MJ) that must be removed to freeze 377 L of water with a density of 999.8 Kg/m3 that is already at 0˚C [round your final answer to one decimal place]? {latent heats of water: Lf = 33.5 × 104 J/kg, and Lv = 22.6 × 105 J/kg} b) The magnitude of energy that must be added to melt the same mass of ice (already at 0˚C) would be greater than the amount of energy that had to be removed in order to freeze it. TRUE OR FALSE {latent heats of water: Lf = 33.5 × 104 J/kg, and Lv = 22.6 × 105 J/kg}(a) Calculate Ƴ for a proton that has a momentum of 1.00 kg.m/s. (b) What is its speed? Such protons form a rare component of cosmic radiation with uncertain origins.