If w = f(r,s,t), r = x-y, s = y - z, t = z − x then aw дw ?x + О O -1 -2 Əw дz 1 2 (

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: If 2x + 3y = 4² then (x, y, z) = ? x, y, z e Z

A: A set of integers represented by symbols ZZNon negative set of integer is Z+

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)…

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Q: Consider the following. Use the figure to sketch a graph of the specified vector. u - v

A: We are given the following  :  Now for sketching a graph of (u-v) : (u-v) = u+(-v)  That means…

Q: f1- estion 1 of 23 The functions f and g are defined by f(x) = %3D .le + 피 and g(x) = 5 - x 4,…

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Q: Let 2x 3x + y 8 7 A = and B : 2у — х xy -7 -6 For what values of x and y does A=B?

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Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: 2. / Vy² – 4y + 10 dy

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Q: OLet U=(2,-37, V=Fl,5), W=(4,-62 Find U•V

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Q: 2x + 2y + z = 16 x + z = 34 y − 3z = 34

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Q: Evaluate for r=(3,5) , s=(-6,4) , and t=(6,-1). 2r-(s+t)=

A: Recall the following facts.

Q: -3x+9y+6z = 18 -2.x – 3y + 2z = -8 4.r + 6y-4z = 68

A: To solve for x, y, z.

Q: Solve the system of equations x + y – z = 1, y+ z= 5, x – y = 0 . -

A: Use substitution method to solve for x,y,z

Q: дz дz If z = f(x, y), find a and for the following equation əx ду z = x² + 3xy + y³

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Q: Find ∂w/∂v, if w = 3x4-5y3+z5-10, x = 3u-4v, y=5u+2v, z = u+8v. Write in terms of the two…

A: Chain rule of derivatives

Q: uppose ū = (1, −3,−1) and v = (1, -5, -5). Then:

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Q: дz дz 45. Find and Әх ду at (-1, 1, -1): yey-x² +z² = -3z-y²³

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Q: Solve the following system of equations by Crout's Method 2х — 4y + z %3 4, бх + 2у — z % 10, -2x +…

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Q: Suppose u = (-3,0,0) and v = (-3,-2,3). Then: u +0= u – T= | 3u= 7u – 30=

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Q:

A: A vector space V together with an inner product is called an inner product space. For example: V=ℝn…

Q: If f.(x, y) = 13x + 8y + 11, || f.(3, 2) = a. b. f„(5, 2)

A: Given, fx(x,y) = 13x + 8y + 11 a). fx(3,2) = 13*3 + 8*2 + 11 = 39+16+11 => fx(3,2) = 66

Q: Find the missing values under each condition - A) (-3,-1), (x,7), d=10 B) (2,4) (7,y), d=13 C)…

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Q: [ 2, l , 2 ] · ( 3 , - 1 , 0 )

A: