Derive the relation of the density of state ?
Explain the Karatsuba-Ofman algorithm to multiply 2 n-bit integers. Derive a recurrence relation for its complexity and solve this recurrence relation.
Derive the following relation: h/mec (1 − cos θ) = λ ′ − λ It is suggested you use the following strategy: First, use the momentum equations and the relation cos2 φ + sin2 φ = 1 to eliminate φ. Next use the energy equation and the relativistic relation E^2 = m^2 c^4 + p^2 c^2 to find an expression for the square of the momentum of the electron that does not depend on v (or γ). Finally, use this...
Physics 2: The power dissipated in the load resistor
Derive the relation P = VO Ro+RL RL Using calculus, find the value of Ruthat maximizes the power.
2. (20 points) Derive a) the relation between hydrostatic pressure gradient and specific gravity considering the force balance with respect to an infinitesimal volume submerged in a fluid, and b) prove that there is no pressure variation normal to the direction of gravitational acceleration
2 WORLU the beginning of andise with unit cost Unit cost 120 Problem 11-2 (ACP) Furlough Company began operations at the begin current year with 10,000 units of merchandise with of P80. Purchases for the current year follow: Lot No. Units 2,000 8,000 100 110 6,000 9,500 100 14,500 90 The physical inventory revealed 15,000 units on hand at year-end. Required: Compute inventory cost at year-end and cost of goods sold for the year following each method listed below. 1....
2. (25 pts) Derive the (a) Maxwell relation for the Helmholtz Free Energy F=U-TS. Show ALL steps and justifications in your derivation. Using your result in (a) comment on how (b) the entropy behaves for an isothermal expansion of an ideal gas. Finally, show the validity of the following equations (c) U = F-TOOF) -T2 and at (T) 01 (d) C =-1(
Derive a relation between the diffusion coefficient (D) and pressure and temperature for an ideal gas. Using this relation, calculate the percentage of change in D for a given ideal gas if temperature is increased by 40% in a constant-volume process.
Show how to derive a relation between the marginal products of labour and capital, MPL and MPK, andf MRTS
17) Graphically derive the IS curve from the goods market equilibrium. What is the IS relation? Explain why IS curve is downward sloping. 18) Explain in detail and graph what effect a reduction in government spending will have on: (1) the LM curve; and (2) the IS curve.