Suppose that the production function of a company can be written as q= A(t)f (K;L) Whereas the variations of A through time represent the technic progress. Show that in thsi case...

Suppose that the production function of a company can be written as q= A(t)f (K;L) Whereas the variations of A through time represent the technic progress. Show that in thsi case...

Parameter of point A and B : alpha, beta Parametric equation of ellipse : x=a*cos(theta) ; y=b*sin(theta) Coordinates of point A ( a*cos(alpha) , b*sin(alpha) ) Coordinates of point B...

If A is a non-empty subset of R, show that the set B = {a∈Ā : ∃ε>0 such that (a, a+ε) ∩ A =∅} is at most countable. (where Ā denotes the closure of A). This is for...

Suppose that a weight on a spring has initial position s(0) and period P. If s(0) = -5 in. and P = 2.5 sec, find a function s given by s(t) = a cos ωtthat models the displacement of the weight...

Rachel is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $97 and allows unlimited mileage. Company...

Answer should be in cm

Let y represent his distance from Boston (in miles). Let x represent the time he has been driving (in hours). Suppose that x and y are related by the equation -55x+325=y. Answer the questions...

8) How to prove that every positive integer can be written as the sum of one or more distinct non-consecutive Fibonacci numbers? 9) How to prove that the sum of any set of distinct non-consecutive...

Question 1. For each of the following statements, write the negated statement. Then, answer if the original statement is true or false. (a) ∀x∈R,∀y∈R,[x2=y2] =⇒[∃s∈{1,−1}, xs=y] (b) ∀p ∈ P4\P3,...

If s(x) = vx for all x, and i = 0.05, show that Ax= 1/2.05 for all x. This is for a life contingencies class- dealing with Insurance benefits. Ax is the APV for whole life insurance,...

Show that the set GL(n, R) of invertible n × n real matrices is open in the space of n × n matrices, with the metric being the Euclidean metric in Rn^2 when a matrix is identiﬁed with a long, n2...

equilibrium points are: a.) = T2 \dot{x_{2}}=-x_{1}-x_{2} b.) \dot{x_{1}}=-x_{2} \dot{x_{2}}=x_{1}-(1-x_{_{1}}^{2})x_{2}

Denoting, as usual, by (a, b) an ”open interval”, {x : a<x< b} and by [a, b] the corresponding ”closed interval”, {x : a≤x≤b} of real numbers, prove that sup(a, b)=sup[a, b]=b and inf(a, b)=inf[a,...

Yon made contributions to a Traditional IRA over the course of 35 working years. Her contributions averaged $2,000 annually. Yon was in the 28% tax bracket during her working years. The average annual...

Create your own scenario of purchasing a home and include the mortgage amount. Solve for each calculation below and show your work. 1. Calculate the documentary stamp tax on the mortgage if this...

Lucia and Randy have signed a contract to purchase a home. The closing date is March 27, and the buyer owns the property on the day of closing. The selling price of the home is $852,500. Lucia and...

Purchasing discount points is a decision which can be financially justified or not justified. Create a unique example where purchasing discount points is justified, solve the problem, and explain...

Laurie is financing $360,000 to purchase a house. How much money will she save over the life of 30-year, fixed-rate loan by buying 3 points with a rate of 6.275% instead of not buying points with...

Please reply ASAP! For those concerned, this is a Selective High School Trial Test question.

Consider the rate of change equation dy/dt = 0.5y(2+y)(y-8) which has been created to provide predictions about the future population of rabbits over time. a) For what...

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