Why is F= {An = (1/n, 1), nE N;n>1}not an open cover of [0, 1]? Which points in [0, 1] does UAn not include? See Figure 5.10.

Q: 5.)Write the aua mented matrix for the syshem X, +2X,-X, tXc =l =マ+ t bulo

A: We have to solve given problem:

Q: u = 3i – 2 j+4k v=i-3j-k 18) (Section 9.7) Find the cross product in space i j KI 3 -2 4 -3 -1|

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Q: 9. Find the point C such that AC = ² AB. 4

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Q: Find the projection of u = onto v = .

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A: We plug the given values in the given equation and simplify

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A: The statement is true, and to see why, let's consider an arbitrary arrow in three-dimensional space.…

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A: According to the given information, suppose that a>0 and n>a. It is required to find the…

Q: Let à = (1, 1, 4) and b = (1, 2, - 5). of b onto a. - Find the projection proj- 6 = b =< -

A: For the given vectors the projection of b on a is given by

Q: and the projection pros

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Q: (3) (i) Determine the number of positive solutions of the equation x1+x2+x3+X4 = 14, where each x;…

A: Thank you for your question!! But according to the guidelines I will be answering one question only.…

Q: 22. Let v₁ = (1, 6, 4), v₂ = (2, 4, -1), V3 = (-1, 2, 5), and W₁ = (1, -2,-5), w₂= (0, 8, 9). Use…

A: Given vectors are Here observed that So we have each of .In other words ,

Q: Yk+1 (1, 1) Ук FIGURE 2.11: yf+1 = Yk• %3D

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A: We have to find out coordinates

Q: What is the domain of the graph above? O A) [-2, 0) Ов [-5, — 2)U (-1, o) C) [-2, 3] O D) [-5, – 2)…

A: Solution

Q: 22. Find m in y = mx+1 such that (-8A) is on the graph. 5 6 8 a) b) c) d)

A: Point slope form of the equation of the line:The point slope form of the equation of the line…