Let yp(y) be the C(2) inverse demand function facing a monopoly, where y++ is its rate of output, and let yC(y) be the C(2) total cost function of the monopoly. Assume that p(y)>0, p'(y)<0, and C'(y)>0 for all y++, and that a profit maximizing rate of output exists. Total revenue is therefore given by R(y)=p(y)y. Given that question uses an inverse demand function, the elasticity of demand, namely (y), is defined as (y)= 1/p'y p(y)/y. Why is (y)<0? Prove that...
What are (a) the x component, (b) the y component, and (c) the z component of if , , and . (d) Calculate the angle between and the positive z axis. (e) What is the component of along the direction of ? (f) What is the magnitude of the component of perpendicular to the direction of but in the plane of and ? We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe...
Solve the initial-value problem. a) y', _ y'-12y = 0, y(0) = 3, y'(0) = 5 b) y"-4y'+3y 9x2 +4, y(0)-6, y(0) 8 Solve the initial-value problem. a) y', _ y'-12y = 0, y(0) = 3, y'(0) = 5 b) y"-4y'+3y 9x2 +4, y(0)-6, y(0) 8
Given that and given that theta = 0, x = 0, y = mg/k. Find out what x, is 1 0 2 (0) = 0 mg 9(0) 0 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image 1 0 2 (0) = 0 mg 9(0) 0
Mathematical Physics 2 H.W.4 y"+y-6y y+4y+4y y"+y0 y(0) 2 and y '(0) Subject to the initial conditionns 1 y"-y0 y(0) 2 and y'(0) = 1 Subject to the initial conditions yy'-12y 0 y(0) 2 and y '(0) 1 Subject to the initial conditions y"-4y xe Cos2x y"-2y'x+ 2e y"+y=sinx "-4y'+13y= e cos3x Solve the boundary-value problem y(0) = 1 and y(1) = 3 y"+ 2y'+y=0 Solve the initial-value differential equation y"+ 4y'+4y=0 subject to the initial conditions y (0) =...
chedule the following activities using CPM: ACTIVITY IMMEDIATE PREDECESSOR TIME (WEEKS) A — 5 B A 3 C A 4 D B 6 E C D 8 F D 2 G F 4 H E G 3 b. What is the critical path? A-B-D-E-H A-B-D-F-G-H A-C-E-F-G-H A-C-E-H c. How many weeks will it take to complete the project? d. Which activities have slack, and how much? B 1 week H 2 weeks F 4 weeks. C 5 weeks F 2...
SOLVE #3 AND #4 PLEASE Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0 Use the Laplace transformation to solve the IVP. 1. y"-6y' + 9y-24-9t, y(0)-2, y, (0)-0 2. 9y" - 12y'4y50ey(0)--1,y'(0)2 3. У"-2y'--. 1 2 cos(2t) + 4 sin(2t),y(0)-4,y'(0)-0
Derive the moment generating function of y= a x1+b x2, where y~ N( a 1 + b2 , a2 12 +b222 + 2ab cov(x1, x2) ), not both a and b equal to zero. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Consider the initial value problem below has a series solution centered at zero of y = (x). Determine '(0), ''(0) and 4(0). y''+ x2y'+ cos(x)y = 0, y(0) = 2, y'(0) = 3. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Let S ⊆ be the tetrahedron having vertices (0, 0, 0), (0, 1, 1), (1, 2, 3), and (−1, 0, 1). Let f : → be the function defined by f(x, y, x) = x − 2y + 3z. Using the change of variables theorem, rewrite as an integral over a 3-rectangle, then use Fubini’s theorem to evaluate the integral. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image}