A firm’s demand function is p=60-0.5Q If fixed cost are 10 and variable cost are Q+3...
1. Which of the following could represent a function, f (x,y), with first-order partial derivatives ∂ƒ/ ∂x = 3xy (xy + 2) ∂ƒ/ ∂y = x2 (2xy + 3) A. xy (x2y + 3) B. x3y2 + 3x2 – y – 6 C. x2 (xy2 + 3) D. none of these E. x3y2 + 2x2y3 + 1 2. It the consumption function is C = 0.02Y2 + 0.1Y +25. Find the value of Y when MPS = 0.38. 3. State...
The inverse demand function a monopoly faces is P = 100 − Q. The firm’s cost curve isTC(Q) = 10 + 5Q (f) (4 points) For what value of fixed costs, does the monopolist break even? (g) (4 points) For what value of fixed costs, would be monopolist find it optimal to shut down in the short-run? (h) (4 points) For what value of fixed costs, would be monopolist find it optimal to shut down in the long-run? (i) (4...
Make x the subject of y -In (3 + e*) x=(y-In 3)/ 2 X(ey 3)/2 x-y/ (2 In 3) x [In (3 - ey)]/ 2 x=ln (Vey-3) which of the following could represent a function, 1f (x,y), with first-order partial derivatives af/ax Xy (x'y +3) x'y 3x-y-6 x (xy + 3) on se the reduced form of a macroeconomic model is Y- (b +I* + G* - aT*)/ (1- a - at) where t is the marginal rate of taxation....
A firm’s short run cost function is C(q)=150q-4q^2+0.4q^3+275 . Determine the fixed cost, F; the average variable cost, AVC; Average Fixed Cost, AFC; Average Cost, AC; and the Marginal Cost, MC.
calculo
1- Given the function y = (4-x^2 ) + 4 * arcsen (x/2) Get dy/dx and its value for x 0 (this year is requested to find the value of the pending for the function given in Point X :0). 2- Is yarcta n ((x +3)/(1-3x) Find his derivative 3- Determine dy,/ dx and the value at the point (using implied derivation) 2x 2 y 2-3xy 1 0 3x2Уз + 3xy2 +1-6+,5 2xy + sen(y) # 2 6 Determine...
The Implicit Function Theorem and the Marginal Rate of Substitution (4 Points) 3 An important result from multivariable calculus is the implicit function theorem which states that given a function f (x,y), the derivative of y with respect to a is given by where of/bx denotes the partial derivative of f with respect to a and af/ay denotes the partial derivative of f with respect to y. Simply stated, a partial derivative of a multivariable function is the derivative of...
dont ans this question
Euler's method is based on the fact that the tangent line gives a good local approximation for the function. But why restrict ourselves to linear approximants when higher degree polynomial approximants are available? For example, we can use the Taylor polynomial of degree about = No, which is defined by P.(x) = y(x) + y (xo)(x – Xa) + 21 (x- This polynomial is the nth partial sum of the Taylor series representation (te) (x –...
#3 please!!
2. Given the function f(x, y)-x2 +y -2xy -6x - 2y 5, find the following: (a) Find the critical point(s) of the function. For full credit, show all the algebra to find these and give your answer as ordered pairs. (b) Find the second order partial derivatives and use these to find the determinant of each critical point. Then classify each critical point as a saddle point, relative minimum, or relative maximum point. 3. A wine dealer sells...
fluid mechanics
just part 3 and 4
show all steps please
These are typical questions to answer when examining difficult velocity and acceleration field questions. A three-dimensional velocity field is given by u = x?v=-3xy, and w = 3x + 2 y. Determine the acceleration vector. (a) Are all three components of the velocity field included in this problem? yes (b) In what dimensions can this velocity change? In other words, what independent variables are given in the velocity field?...
THEOREM. Suppose that F(x, y) = (P(x, y), Q(x, y)) is a vector-valued function of two variables and that the domain of P(x,y) and Q(x,y) is all of R2. Then it is possible to find a function f(x,y) satisfying Vf = F if and only if Py = Q. Instructions: Use this Theorem to test whether or not each of the following vector-valued functions F(x,y) has a function f(x, y) that satisfies VS = F (that is, if there is...