Suppose A = {-1,0, 1} and B = {d, e, f}. Find: а. ВхА b. Аx (Вx В) С. Вз

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Q: y = 3 , find

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Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

A: The integration formula for ∫xndx=xn+1n+1+C.

Q: Find the values for c1, c2, and c3 to make sure that: c1 (10, 25, 1) + c2 (-15, 5, 0) + c3 (5, 0,…

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Q: Find å · b for å = (4,1, →) and b = (6,–3,–8).

A: Topic:- dot product of vectors

Q: Calculate / ye*y dA, where R = [0, 3] × [0,6]. Са Answer:

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Q: 3.2 find fxxy: flxiy) Bx*t 2€y?+ qxy!

A: when differentiate with x then y should be constant and when differentiate with y then x should be…

Q: Find: W(e2x, –5e3x) A. 5e3x B. 4e5x C. -5e5x D. -4e* E. None

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Q: 1.

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Q: If A = -1 1 4 1 -2 -3 0 1 -2 and B = -1 2 −1 1 4 -2 -2 -3 then

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Q: T. If TM 3y and TX 2y + 24, then Y

A: Given,  TM = 3y TX = 2y + 24

Q: $3000. 300-€ e

A: Given :e∫3300-tdt

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

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Q: А (2х+ 1)° B X= (3х-7)°

A: Length of tangent lines drawn from external point of a circle are equal.

Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: If p = [7, 2]  and  q = [5, -1], find p - q.

A: Given: p = [7, 2] and q = [5, -1]

Q: dx x²V(x² -4) Select one: a, 4x b. Vx? - 4) + C C. -Vx? -4) + C 2x d. Vx² - 4) 21 wwm + C 2x

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Q: 3x 2 - 8xy - 2y 2 ; x = -5, y = -6   A.43 B.129 C.-182 D.237

A: GIVEN 3x2- 8xy - 2y2

Q: A bathtub initially contains 60 litres of water. If the water drains for thirty seconds, the bathtub…

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Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

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Q: 19. For sets A, B show 1AUB = 1A V 1B, %3D and 1ANB = 1A ^ 1B.

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Q: Find x if BC=1,AC=x+5 and AB=2x-2

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Q: Suppose A = (-1, –5, –7) and AB= (-5, 14, 4). Then В — (5,-70,-28) help (points)

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Q: 3w+wc/c=h w=

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Q: The value of x such that (9) 3x – 12) = (3)2x) is: Select one: а. 12 b. -6 С. -12 d. 6

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Q: 2 4 .2 + 2+ jo to

A: given that                                               4-j2j2+2+j0 we know that…

Q: O campute dyldx and X= 4t3-t² + 7t Y= t4 - lot

A: As we know that the chain rule: dydx=dydt×dtdx The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Compute (+4)2dx. f

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Q: 1. Evaluate: xydydx

A: The given integral

Q: Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

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Q: Given that A=6-j1 and B=2+j3, find A*B

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Q: Let A--5 2, B-10]. Then 2A+3B- Select one: a. [9 4] O b. [-2 2] C. [-7 4] d. (-10 4] OS Shot by…

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Q: 2x+t = s, for t.

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Q: Find whether A and B are independent in the following cases : (AB) = 256 ; (aB) = 768 ; (AßB) = 48 ;…

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Q: Calculate the linear combination: 1 (2, 2, –4) + 4 (-2, 3, 2) = %3D

A: Linear combination of a set of vectors: Let us consider V be a vector space over the field F. Let…