Caculate w=2U+V, |U|,|V| and |W|
A= <1,-3,7> and B=<-5,2,-3> Find C sp A+B+C=0
Caculate w=2U+V, |U|,|V| and |W| A= <1,-3,7> and B=<-5,2,-3> Find C sp A+B+C=0
3) Consider the following vibrating system u" (1/4) 2u 2 cos (wt), u (0) 0, (0) 2 (a) Find transient and steady states of solution (b) Find the amplitude R of the steady state solution in terms of w and plot R versus w; (c) Find Rmax and wmax 3) Consider the following vibrating system u" (1/4) 2u 2 cos (wt), u (0) 0, (0) 2 (a) Find transient and steady states of solution (b) Find the amplitude R of...
17 Find the orthogonal complement of the following. a. U = sp({(3,-1,2)}) in R3. b. V=({(1,3,0), (0,2,1))) in R3. Do this both algebraically and geometrically. Compare with part a. c. W=sp({1+x}) in 81 (-1,1]).
3. (6 marks) Suppose that u, v and w are vectors in R3, and that u. (v x w) = 3. Determine (a) u (w x v) (b) u: (w X w) (c) (2u x v). w
Thank you Find u. (w). This quantity is called the triple scalar product of u, v, and w. u = (4, 4, 4), v = (1, 6, 0), (0, -1,0) W = Let T: R3 R3 be a linear transformation such that T(1, 1, 1) = (4,0, -1), T(0, -1, 2) = (-5,2, -1), and T(1, 0, 1) = (1, 1, 0). Find the indicated image. T(2, -1, 1) T(2, -1, 1) = Let T be a linear transformation from...
(6 marks) Suppose that u, v and w are vectors in R3, and that u. (v x w) = 3. Determine (a) u (w xv) (b) u. (w xw) (c) (2u x v). w
(6 marks) Suppose that u, v and w are vectors in R 3 , and that u · (v × w) = 3. Determine 3. (6 marks) Suppose that u, v and w are vectors in R3, and that u. (vx w) = 3. Determine (a) u (w xv) (b) u (w xw) (c) (2u xv).w
DETAILS LARTRIG10 3.3.031. Find u + v, u - v, and 2u - 4v. Then sketch each resultant vector. u = (4,3), v = (3,5)
Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. (Simplify your answers completely.) u = i, v= -4j 2u = -3v = u + V = 3u - 4 = 17. [-12.94 Points) DETAILS SPRECALC75.3.024. Find the amplitude and period of the function. y = -5 sin(6x) amplitude period Sketch the graph of the function. AA Am Type here to search A
Question 25 Use the vectors in the figure belo w u * Z v 11 2u - Z-W
(1 point) Solve the heat problem with non-homogeneous boundary conditions ∂u∂t(x,t)=∂2u∂x2(x,t), 0<x<3, t>0∂u∂t(x,t)=∂2u∂x2(x,t), 0<x<3, t>0 u(0,t)=0, u(3,t)=2, t>0,u(0,t)=0, u(3,t)=2, t>0, u(x,0)=23x, 0<x<3.u(x,0)=23x, 0<x<3. Recall that we find h(x)h(x), set v(x,t)=u(x,t)−h(x)v(x,t)=u(x,t)−h(x), solve a heat problem for v(x,t)v(x,t) and write u(x,t)=v(x,t)+h(x)u(x,t)=v(x,t)+h(x). Find h(x)h(x) h(x)=h(x)= The solution u(x,t)u(x,t) can be written as u(x,t)=h(x)+v(x,t),u(x,t)=h(x)+v(x,t), where v(x,t)=∑n=1∞aneλntϕn(x)v(x,t)=∑n=1∞aneλntϕn(x) v(x,t)=∑n=1∞v(x,t)=∑n=1∞ Finally, find limt→∞u(x,t)=limt→∞u(x,t)= Please show all work. (1 point) Solve the heat problem with non-homogeneous boundary conditions au ди (x, t) at (2, t), 0<x<3, t> 0 ar2 u(0,t) = 0, u(3, t) = 2, t>0, u(t,0)...