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

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A: Note: In the given problem  is given so taking it

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A: We have to estimate f (1.1, 2.01) using the linear approximation.

Q: . (Section 14.4) Let curve C be described by vector function(t) = (cost-1, sint, 3/2) on 0 ≤ t ≤ b.…

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Q: 3. Let f(x,y)=x²y/(x² + y²). (a) Show that f(x,y) goes to zero if (x,y) goes to (0,0) along any…

A: Solution: (a) If (x,y) approaches (0,0) along the straight line y = mx, then we can substitute mx…

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A: Step 1: Step 2: Step 3: Step 4: Step 5: Step 6:

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

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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: Find the maximum and minimum values of the ratio x’A x/x'x for any nonzero vectors x' = [x1, x2, X3)…

A: We have to find maximum and minimum value of ratio x'Ax/x'x

Q: 5. [6.1] If vector ā reaches from the origin to point (5, –7), determine the magnitude of ā.

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Q: Consider the following linear system: y': [13], 1. Find the general solution of the linear system. y

A: Note: according to our guideline we can answer only first question