Is the following statement true or false? Briefly explain your answer. "Two consumers with utility functions of U(x,y)=x.y and V(x,y)=1/2ln(x)+1/2ln(y), respectively, have different preferences and therefore would rank baskets of goods x and y differently from each other.
In: Economics
A 95.7 kg cart initially sits at rest on a flat track. This cart of charge 0.006 C is placed in an initial potential of 276,228 V, which launches it toward a spring with a spring constant of 416.2 N/m. After being launched, the cart crashes into the spring that brings it to a stop. How far is the spring compressed in order to stop the cart?
In: Physics
Calculate the cell voltage for the following reaction at 25o C:
2 Cr3+ (aqueous; 0.010 M) + H2 (gas at 1 atm)
è 2 Cr2+ (aqueous; 0.050 M) + 2H+ (aqueous; pH = 2.50)
The Eo for the reaction Cr3+ (aq) + e- ==è Cr2+ (aq) is - 0.40 V vs. the standard hydrogen half-cell.
In: Chemistry
A coil of wire containing N turns is in an external magnetic field that is at a LaTeX: 45^o45 o angle from the plane of the coil and is steadily changing. Under these circumstances, an emf V is induced in the coil. If both the rate of change of the magnetic field and the number of turns in the coil are now doubled (but nothing else changes), what will be the induced emf in the coil?
In: Physics
Question 1. Suppose ?? is generated by an AR(1) process, such that ?? = 0.2 + 0.5??−1 + ?? ; ??~??(0, ? 2 )
(a) What is the partial autocorrelation function of the above AR(1) process?
(b) Is the above AR(1) process stationary?
(c) Derive E(??)?
(d) Derive V(?? )?
(e) What is the autocorrelation function of the above AR(1) process?
In: Statistics and Probability
Design an ultra-capacitor. Find an electrode geometry which maximizes the stored charge for a 100 cm3 volume. Discuss possible physical limits for the design, including dielectric breakdown, leakage current, and mechanical stability. Assume the operating voltage is 16 V. Compare your design to performance of commercially available units (e.g.from Maxwell Technologies).
In: Physics
A capacitor consists of two 4.3-cm-diameter circular plates separated by 1.0 mm. The plates are charged to 130 V , then the battery is removed.
A) How much energy is stored in the capacitor?
| U_C = __J |
How much work must be done to pull the plates apart to where the distance between them is 2.0 mm?
W = _J
In: Physics
V. How does ARM processor differentiate between a timer interrupt and an A/D interrupt?
VI. What does privileged mode mean and what is the major difference between this mode and non-privileged mode?
VII. There are two interrupt pins on ARM microprocessor: IRQ and FIQ. Which one can interrupt the other one and why?
In: Electrical Engineering
What is the standard cell potential, E°cell, for the spontaneous voltaic cell made by coupling a Ca+2|Ca (E°red=-2.756V) half-cell and a Al+3|Al (E°red=-1.662V) half-cell? Report your answer in volts, V.
Please show where you get the numbers, and write clearly please :)
In: Chemistry
Determine whether the set with the definition of addition of vectors and scalar multiplication is a vector space. If it is, demonstrate algebraically that it satisfies the 8 vector axioms. If it's not, identify and show algebraically every axioms which is violated. Assume the usual addition and scalar multiplication if it's not defined. V = {all polynomials with real coefficients with degree > or equal to 3 and the zero polynomial}
In: Advanced Math