Find a unit vector at which the quadratic form x'Ax is maximized, subject to the constraint x'x=1. 3 2 A = 2 6 A. В. OC. D. 1 - 1 - 2 V5 V5 2 V5 2 2 1 V5 V5 V5

Q: Let L be the line passing through the point P(1, 1, 1) with direction vector d=[2, 1, 0]T. Find the…

A:

Q: Let x(¹) (t) = = -3t e 4e-3t, 0 0 x (²) (t) = [_5e-31]. -5e-3t, 0 Are the vectors x(¹) (t), x(²) (t)…

A:

Q: Find the best-fit quadratic function f(t) = co+ c¡t + czť² to the data points (0, 7), (1, 6), (2,…

A:

Q: 6. Find the unit vectors that are parallel to the tangent line to the curve 2x3 at the point (2,…

A: The given curve is y=2x33 at the point 2,163. Calculate the unit vector that are parallel tot he…

Q: 6. Find the unit vector for which the directional derivative Duf(x,y) of f(x,y) = %3D 3x2 + 4y2 at…

A:

Q: Let r(t) = 5e7t + e2t and y(t) = 3e2t + 1le (i) Rewrite the given functions in the vector form Y(t)…

A:

Q: Q2) Find T N „B of the vectors the curve r(t) = at the point (1, ,1)

A:

Q: 4) Find the orthogonal trajectories of the family of curves

A:

Q: 4. Given that '(t) = (6t², 2t + 4) and that (2) = (2, 8), find r(t), where we are assuming that the…

A: We have to find the r(t)

Q: 5. i ',, Find the solution space and write it as a linear combination of vectors. - x3 + 5x4 X2 +…

A: Given that x1-x3+5x4=0 x2+4x3-3x4=0

Q: Find the best quadratic approximation, Q(x, y) of V9 + 7x + 5y for (x, y) near (0,0), Q(x, y) :…

A:

Q: I reached this same conclusion " Tx=Ax1x2⇒Tx=0110x1x2⇒Tx=x2x1" but had difficulty explaining it in…

A: It can be proven that if x=x1x2∈ℝ2, then Tx=Ax=x2x1 where T is the linear transformation whose…

Q: f(x, y) = Ax² - Bxy + Cy² + x - y (where A = 4, B = 4, C = 2, xo = 5, yo = 6) 1. identify the…

A: The given function is fx,y=Ax2-Bxy+Cy2+x-y, where: A=4, B=4, C=2, x0=5, y0=6. Therefore the given…

Q: Use the function to find the image of v and the preimage of w. T(Vy. V2) = ( V2, 2v1 - v2), v = (7,…

A:

Q: Find  vector z + vector y if vector z= and vector y= . graph

A:

Q: For this problem, enter your vectors with angle-bracket notation: , not in ijk- notation. (a) F =…

A: The solution are next step

Q: Which point on the curve y = √x - 4+9 is closest to the point (7, 9)? (x, y) = ( What is this…

A:

Q: Consider the function f(x, y) = x ^3 + y ^3 + 3xy and the constraint (x − 3)^2 + (y − 3)^2 = 9.…

A:

Q: 5) The equations r² + y²s + yt² - 13 and y² + x²s + rt² = 9 define s and t as implicit Əs functions…

A:

Q: Find the domain of the vector function T (ty= Vt + 7 Domain: {t <t< }

A:

Q: 10. A drop of water falls on the surface z³x+z¹y² + x²y³ = 79 at the point (3, 2, 1). Find a three-…

A:

Q: How do I find a vector b where, ||b|| = 9 direction =

A:

Q: At time t=0, a particle is located at the point (3,9,4). It travels in a straight line to the point…

A:

Q: A unit vector that gives the location of the maximum value of Q() = x² – 2x² subject to ¹ = 1, 7 €…

A: Given quadratic form is ,which is matrix form Now eigenvalues of A are Eigenvector corresponding to…

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A: Given that, Vx,y,z=4x2-3xy+xyz Find Vx,Vy,Vz:  Vx=8x-3y+yzVy=-3x+xzVz=xy Gradient of V at P(6,6,5)…

Q: 10. Given R = x7 + y3+ zR, and r = |R show that (a) V x (7 x R) =7 + 7R, (b) (A x V) × R = -27, (c)…

A: Given: be any constant vector.

Q: The elevation of a mountain above sea level is given by f(x,y) = 3000e-(* +2y* y100 (in meters). The…

A: