Consider the following function. h(u, v) = u3 + 24uv + 12v2 |
(a) | Find the critical points of h. |
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Consider the following function. h(u, v) = u3 + 24uv + 12v2 (a) Find the critical...
5. In class we saw that the function r(u, v) = (sin u, (2 + cos u) cos v, (2 + cos u) sin v), 0<u<27, 050521 parametrizes a torus T, which is depicted below. (a) Calculate ||ru x rull. (b) Show that T is smooth. (c) Find the equation of the tangent plane to T at (0,). (d) Find the surface area of T (e) Earlier in the semester, we observed that a torus can be built out of...
7. Graphs u, u2, u3, u4, u5, u6} and the (a) Consider the undirected graph G (V, E), with vertex set V set of edges E ((ul,u2), (u2,u3), (u3, u4), (u4, u5), (u5, u6). (u6, ul)} i. Draw a graphical representation of G. ii. Write the adjacency matrix of the graph G ii. Is the graph G isomorphic to any member of K, C, Wn or Q? Justify your answer. a. (1 Mark) (2 Marks) (2 Marks) b. Consider an...
finall answers
Consider the following. u = (-6, 6), v = (1, -1) (a) Find u. v. u. V (b) Find the angle between u and v to the nearest degree. Submit Answer 3. -/2 POINTS SPRECALC7 9.2.010.MI. 0/2 Submissions Used Consider the following. u = 4i + j, v = 5i - 2j (a) Find u. v. u.v= (b) Find the angle between u and v to the nearest degree. A = Submit Assign Type here to search
1. Who's that surface? Consider the function Flu, y) = (v cosu, v sin u, u), 0 Su<27, -2 SU <2. The goal of this problem is to figure out what surface this function parametrizes! (a) Find a parametrization of the coordinate curve with u held constant as u = u. Plot a couple of these curves in 3D to see what they look like. (b) Find a parametrization of the coordinate curve with v held constant as v =...
Consider the following. u = 7i + 9j, v = 4i + 2j (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v.
3. Consider the following function: U=2x2-y2 (a) Find the stationary points (b) Find the saddle-point
8. Consider the system where the performance of the system is given by V -d a. Find the state function of Pontryagin H. b. Using the state function determine the optimal input c. Determine the equations governing λ and x. d. Determine u°()given x(0)-0 and x(1) I
8. Consider the system where the performance of the system is given by V -d a. Find the state function of Pontryagin H. b. Using the state function determine the optimal input c....
(1 point) -3 10 9 Given v = 9 find the coordinates for u in the subspace W spanned by 1 0 3 -3 -1 5 4 U1 = = , U2 = , U3 and 14 -7 1 Note that uj, U2, U3 and 14 are orthogonal. 2 U = U1+ U2+ U3+ 14
Consider the vector v = (14, 14, 4). Find u such that the following is true. he vector u has the same direction as v and one-half its length. u = (b) The vector u has the direction opposite that of v and one-fourth its length. U = (c) The vector u has the direction opposite that of v and twice its length. U =
114 Find the t critical values suggested by the given data. a. H u 12; H: u 12; n = 27, a = .05 b.Hiu500; H: u > 500; n = 17, a = .10 c.Hai un 10.75; H; u < 10.75; n = 29, a .01 d. Hoi u 75 H:u # 75; n = 24, a = .05 e. Hoiu 98.4; H: u < 98.4; n 12, a = .05