1 2 Let vị = V2 = 0 |, and w = 1 be vectors in R- 3 1 (a) Is w in {v1, V2}? (b) Is w in Span{v1,v2}? Justify your answer.

Q: "The product of two negative real numbers is positive" Is given by? Select one: O a. 3x Vy (x 0)) O…

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Q: If f(x, y) = 2√x² + y² - 16, then the domain of f is the set D = {(x, y)]x² + y² ≥ 4}. Select one:…

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Q: 66. Let f(x) = ax? + bx + c (a + 0). By completing the square in x, show that 4aс - f(x) = a x + 2a…

A: Given,           Let fx=ax2+bx+c a≠0

Q: d) Prove (AV (Vx) BC = (Vx)B(AV C), as long as x not free in A. (Hint: Translate first to Standard…

A: Given,  Prove (AV (Vx)BC = (Vx)b(A V C), as long as x not free in A. (Hint: Translate first…

Q: Find (a) u × v, (b) v × u, and (c) v × v.…

A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

Q: Show that Q(4 - i) = Q(1 + i), where i = √-1.

A: To show that ℚ4-i=ℚ1+i. That is we need to show that ℚ4-i⊆ℚ1+i and ℚ1+i⊆ℚ4-i. Here i=-1 that is…

Q: 3 Let x = (9, −9, −4) and y = (-6, 6, -9) be in R³ and a be in R. Then ax + y = ( ,23).

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Q: (d) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b,…

A: e) Consider the following table for necessary calculations. y x x2 12 22 484 22…

Q: If o = (r x a) (r x b), show that Vo =bx (r x a) +a x (r x b)

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Q: b) I = (x-8)² +2=y+3

A: Given that:To find: The value of x.Formula used:

Q: In(x) dr. x² + 9'

A: Sol

Q: What’s (E∩F)×(F∪G)

A: We are given that E = {1, 2}, F = {2, 3} and G = {3, 4}.Now, E∩F = {2} and F∪G = {2, 3, 4}.

Q: FInd the following. (0, 1), v = (5, –2) u = (a) |삐 (b) ||v|| (c) |u + v|| (d) (e) u + v (f)

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Q: 1. Differentiate. Do not simplify. I b) g(x) = (7x3 – 3x² + x)(1+ 4x²) a) y = Vx4 -5x+1 d) g(x) =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given f(x, y) a² f მ2 8² f дуг = - (6x¹y+ 2xy). Compute: ←

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Q: 6x + 17y df f f(x,y) then i : 6x 17y ду 204x (6а — 17у)? - 204x - (бх — 17у)? 204x (6x + 17y)² 204x…

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Q: Prove that (p – q)× (p+q)= 2(p×q)

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Q: Suppose u(x) function in the graph at right, determine the following: 14. -x² +3x – 4 and w(x) is…

A: As per bartleby guidelines we are supposed to answer only 3 subparts for a question. This question…

Q: 5. Let P(x) be the statement "x spends more than five hours every weekday in class," where the…

A: Introduction: Quantification is the application of numerical indicators to the subject or predicate…

Q: L{t(u0 – u1) + t²u1}.

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Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

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Q: 3 | (16t³ – 9t² + 7)dt Evaluate:

A: Given problem:-

Q: 21. Let V1 = 1 0 -1 V2 H " V3 = 0 {V1, V2, V3} span R4? Why or why not? 1 0 0 . Does

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Q: ニx%(f09))= 3メと4 ノ9メ)=3メ4\ Find fox=? (fos))=3X+\+3中f=メ+3

A: Applying properties of composition

Q: 2x + 1 , x < 3 i ci x 2 3 If the function g(x) = %3D x - 1 a) - 6 b) 6 c) 4

A: The first question has incomplete data. So, answering the second only.

Q: Z:5X++7X2 MaX 3メ1+2X2< +8mf) メ+X2< 12) ~ X2<4 (2) XナX2 70

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