If possible, solve using lagrange multipliers
Show steps and explain
If possible, solve using lagrange multipliers Show steps and explain 5. Find all first and second order partial derivatives. f(kl)-kali-α where α is a constant. 5. Find all first and second orde...
Find the first-order partial derivatives (fr. f,) and second-order partial derivatives (fxxıfyy, fxy, fyx) of the following functions. a. f(x,y)=x’y+x’y? +x+y? b. f(x, y) = (x + y)? Find the critical points at which the following function may be optimized and determine whether at these points the function is maximized, minimized or at a saddle point. z = 5x2 – 3y2 – 30x + 7y + 4xy
Find all the first and second order. partial derivatives of f(x, y) = 8 sin(2x + y) - 2 cos(x - y). A. SI = fr = B. = fy = c. = f-z = D. = fyy = E. By = fyz = F. = Sxy=
Find all the first and second order partial derivatives for each
of the following functions.(i.e. find fx, fy, fxx, fyy, fxy, and
fyx). No need to simplify.
(b) f(x, y) = x In V x2 + y2.
Problem 5. (1 point) Find all the first and second order partial derivatives of f(x,y) 7 sin(2x + y) + 9 cos(x - y). A. = fx(x,y) = B. = fy(x, y) = af C. ar2 = fcz(x, y) = af D. ay2 = fyy(x,y) = E. af деду fyz(x, y) = af F. მყმz = fxy(x, y) = Note: You can earn partial credit on this problem.
Find all second order partial derivatives of f(x, y) = (x² +3y)
for the following function: 3. Find all first and second partial derivatives, of of of of of Ꭷr ' Ꭷy ' Ꭷra ' ayya ' ᎧyᎧr f(, y =re*v
Find all the first and second-partial derivatives for the utility function, U -50x 5y 0.2 (a) Give a verbal description of each derivative. (b) Are the marginal functions increasing or decreasing. Use the derivatives to justify your answer b. Given the function Q- Al'KB, explain the terms: constant returns to scale; increasing returns to scale; decreasing returns to scale. Show that the production function, Q -100L0.3K0.5, exhibits decreasing returns to scale and diminishing returns to labour Show that the production...
(10 points) Find all first and second partial derivatives of f(x,y) = 24 – 3.z”y2 + y* [Note: By Theorem 13.3 on page 913 of the textbook, it should be that fry = fyr:]
6 of 15 (complete) Find all the second-order partial derivatives of the function f(x,y) - 7x + y + xy (Simplify your answer) dyche (Simply your answer) 21 dy (Simplify your answer (Simply your answer Enter your answer in each of the answer boxes
4. (5 points) (a): Find all second partial derivatives of f(x, y) = re-2ry, (b): Find dw/dt at t = 1 if w = re + y sin z - cosz, r= 2/t, y=t-1+ lnt, and 2 = t.