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...

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,...

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...

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}

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...

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...