Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (−1, 2), v = (2, −2)

Q: Find u v, uu, ||u||2, (u v)v, and u. (2v). . u = 5i + j - 9k, v=i4j + 5k (a) (b) u. V u u (c) ||u||²

A: According to Bartleby's guide line we only do first three parts of multi-part questions.Given,

Q: 3(2x + 3y) 4x(6 - 5y) 10(3x - 4y) 12xy(4xy + 6x) 3x y(4x + 3y) 2x?y (3x?y - 4xy) : 6x + 3y : 30x -…

A: (1)  ⇒3(2x+3y)=3(2x)+3(3y)⇒3(2x+3y)=6x+9y

Q: (1) (A × B) U (B × C) (2) AX (BUC) C = {9,10}, B = {7,8} , A = {4,5}

A:

Q: If z1 = (3,7) and 22 (5,-6), then 2122 is equal to what? %3D А. (57, 17) В. (15, - 42) С. (15, 42)…

A:

Q: (-2y%3D 6. (2). (-8, )

A:

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). u = (2, -2, 4), v = (0, 7, 4) (a) 2 (b) 24 u. V UU (c)…

A:

Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

A:

Q: rỉ + 10x1x2 + x = as² + ßt²

A:

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: 5x – 4x3 + 8x )dx

A: One property of integrals that will be used is ∫f(x)+g(x)dx=∫f(x)dx+∫g(x)dx. Another property of…

Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

A:

Q: True or false: If (a,b) = (a,c) = 2, then (b,c) = 2

A: a, b=a, c=2

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, −2, 2, 0), v = (2, −1, 0, 2)

A:

Q: Find the symmetric difference of {1, 3, 5} and {1, 2, 3}.

A:

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (2, −2, 1), v = (2, −1,…

A: Given

Q: 2. (3x+5)+(2x – 3)

A:

Q: (q/q-3) + 1 = (2/2q+1)

A: To solve for q, firstly, we take l.c.m on left hand side of equation.

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (2, 1, 1), v = (3, 2, −1)

A:

Q: (x²9) Lim X→3 (X+3)

A: To calculate

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, 4), v = (2, 1)

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: b) f′(6)≈ c) f′(4)≈

A: To find out the slopes by the help of table.

Q: 2. X y y A x+ abcxy +y2 abx2+ xy+ bcy² (c) © x2+bxy+y2 D ax2+ bxy + cy2 5/7

A:

Q: (8) lf (a-b-a) za 2b 29 (b-a-c) 2b = K²(a+b+c) ³ 2C (c-α-b) then K=

A: Given:a-b-c2a2a2bb-a-c2b2c2cc-a-b=ka+b+c3    .............1We need to find the value of k.

Q: Perform the indicated operation 51. If f(x)=x²-5 and g(x)=2x-3 find: axf+g)(x) @bxf-9xx) c) (f.…

A:

Q: L{t(u0 – u1) + t²u1}.

A:

Q: 1- Prove that (a) |A× B|² = |A|2|B|? – (A · B)² (b) (Ax B)(C × D) = (A· C)(B· D) – (A · D)(B · C)…

A:

Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: Exercise 4. Evaluate f* (3VE+)dz (4A) 6 (4B) 7 (4C) 18 (4D) 10 (4E) 17

A:

Q: Find ||u ||, ||v ||, and ||u + v||. - (-1, 금), v-(3,-3) u = v = 8 (a) |lu || (b) ||v|| (c) ||u + v||

A: The modulus of a vector V can be determine by taking the square root of sum of squares of the…

Q: Find the center and radius of each circle.

A: Center is (-1,-6) with radius 4

Q: Evaluate νX (x + 2) dx.

A:

Q: If 8 = (AB)–- (AB), then with usual notation, prove that %3D (i) [(A)- (a)] [(B)- (B)] + 2 N 8 (AB}…

A: ANSWER: For the given data,

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.