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: Find (a) u x v, (b) v x u, and (c) v x v.

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Q: d) f(x) (-5,8) = = x² - 1 3x - 40 Domain:

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Q: Show that A×(BxC) + Bx(CxA) + Cx(AxB) =0.

A: We have to prove that LHS=RHS

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: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: rỉ + 10x1x2 + x = as² + ßt²

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Q: (a) Find the critical values and the corresponding function values. (b) State the intervals on which…

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Q: 7. Find the value of x. (3x-7)° x+15) 289

A: To find: The value of x. Concept used: Exterior angle property: The sum of opposite and non-adjacent…

Q: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

A: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

Q: (a) ( Consider the following proof with missing parts (indicated by bold, underlined digits 1. 2. 3.…

A: We need to complete the proof to show 23 is irrational.

Q: 19. Evaluate the difference quoatient: f(x+h)-f(x) h as much as possible: a.) f(x) = 2x + 7, b.)…

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Q: Let P(x) = ax² + bx³ + x +1 where a and b are real numbers. Find values of a and b such that P(2i) =…

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Q: is f(x) = -3x + 4 a bijection?

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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: 9. f(x) = Зх + 4 Then f(x + h) – f(x) A h (3x + 4)(Bx + C + Dh) Find A, B, C, and D. A = B = C = and…

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Q: Vx+4 -2 1 limx¬0 ||

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Calculate v × w, where v = (−2, 1, 4) and w = (3, 2, 5).

A: Given: v = (−2, 1, 4) and w = (3, 2, 5)

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: 3) Use the functions f(x)= 12 - 2x and g(x) = 4x² – x – 7 to evaluate the following: %3D a) f(4) b)…

A: The given functions are fx=12-2x,gx=4x2-x-7.

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: K (x2.V1) (1-Y1)

A: Determine the length of LK

Q: fx) = c is a constant c is a constant c2 + x"

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Q: = x° + y*, ¤ = + u, and y = v – u². Find Your answer should be in terms of r, y, u, and v. dv

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Q: Use f(x) = 2x - 8 and g(x) = 4-x´ to evaluate fAg(-1)). %3D Find f (g (x)) for f (x) = 7x + 7 and…

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Q: L{t(u0 – u1) + t²u1}.

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Q: Showthat fo= x| is Continuous evalyuhore- 1x1+1

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Q: A = p + prt for r ( banking)

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Q: 1. Expand the brackets a. X(x+2) b. X2(x+x2) c. 3x(x-y) d. 4x2(2-3x) e. X3(1+2x -x2) f.…

A: We can solve this by properties of power of polynomials xm*xn = xm+n

Q: If f(x, y) = 7x + 3exy, find the following (a) ax? (b) ду дх (c) Әх ду (d) ay? II II

A: we need find first and second partial derivative