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Assume that an individual has the utility function U(x, y) = x0,8y0,2, where x and y are variables for the number of units for two different products. Assume further that the individuals utility function U(x,y) = 1.
Calculate the MRS, then calculate MRS for the product combination (x,y)= (1,1). Calculate the implicit derivative first then the value for the given point.
Let {X(t), t ≥ 0} be a Poisson process with intensity parameter λ. Suppose each arrival is "registered" with probability p, independent of other arrivals. Let {Y(t), t ≥ 0} be the process of "registered" arrivals. Prove that Y(t) is a Poisson process..
This question is from Mathematics as well as it is about calculating differentiation in trigonometry.
Consider componentwise addition of element of Rn, and scalar multiplication defind. Conseder the sub space of P4(R) given by S = { f (x) member of P4 (R)| f (0)= f (1)=0} find a bais for S
Let |G| be finite and N be a normal subgroup of G. If xN is an element of G/N and has order a power of p, show that there exists a y element of G such that |y| is a power of p and yN=xN.
Ahmad drove 385 miles using 14 gallons of gas. At this rate, how many gallons of gas would he need to drive 319 miles?
Estimate all the stationary points
Explain the difference between the solution sets when a compound inequality contains the word "and" versus when the inequality contains the word "or".
The first equation in a system of two equations is x - 2y = 10. The graph of the second equation does not intersect the first. Write a possible second equation for the system and explain your answer. (Note: There are multiple equations that will work..
A pig rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. He has 420 feet of fencing available to complete the job. What is the largest possible total area of the four pe..
a surveyor locates a point C on land such that CAB = 48.8°. He also measures CA as 317 ft and CB as 527 ft. Find the distance between A and B.
Show that if a>0, then the convergence of the function nx/(1+n^2 x^2) is uniform on the interval [a,infinity), but is not uniform on the interval [0,infinity).
Probability questions with cards and unbiased dice, Suppose that you select two cards without replacement from an ordinary deck of playing cards.
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