give the upvote If A = {2, 3}, B = {6, 8}, C = {1, 2}, and D = %3D %3D {6, 9), then verify that: (i) (A x B) n (C x D = (AC) x (BD) (ii) (A x B) U (C x D) C (AUC) x (BUD).

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

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Q: xdx 3 (5–4x-x2) Z

A: We have to evaluate the integral

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A: Given function is f(x)=y = (3x+1)3  We have to find f'(-1)

Q: Verify that (AB)T = BTAT.

A:

Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

A:

Q: Let z = x +3xy+ 2y . Find and

A: Given function is z= x^2 +3xy +2y^2

Q: If z = 1+ 2i and w = 3+ 4i, express the following in the rectangular form: (a) 2|w| +(1 – i)2² w + z…

A:

Q: If u +2k and v = 3i-i+ 2k then (u x v). (u – v) + u. v equals then (i x u). (u-v) + u. v equals…

A: To find (u*v).(u-v)+(u.v)

Q: For v = (1, 4), w = (3, 2), calculate:(a) v + w (b) 5v

A: We have been given that v=(1,4) and w=(3,2)Our Aim is to calculate:-(a) v+w=(1,4)+(3,2)=(1+3,…

Q: 6. Find the equation of a circle that has a diameter with the endpoints given by

A:

Q: Question 8 12x +1 dx. (2x- 1) (3x+2) Evaluate: 1 A (2x- 1) (3x+2)? %3D B) In (2x- 1)? (3x+2)| + C…

A:

Q: Find(rr) r d d/ (1₁•1₂) if x = ( 2 ₁ √ ². e²¹ ) and r₂ = (7, In (2),1).

A: Solve the following

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A: To simplify 1+in+1-in , first convert both the terms of 1+in+1-in that is 1+in and 1-in into…

Q: g(x.y)-xn (x-y), as(-2,3) Pind vg ?

A: Given the given function is gx,y=xlnx+y,    x,y=-2,3. Apply gradient formula ∇f=∂f∂xi+∂f∂yj

Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

A:

Q: Find (i)27 = а. i b. -i с. 1 d. –1

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Q: Find the value of ‘v’ in v2 – 2v -15 = 0, if v is a natural number.

A: Given quadratic equation is,

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A:

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A:

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Solution:Given    v=-i+3j+2k              w=3i-2j-kFind:(a)v×w(b)w×v(c)w×w

Q: -dx. (3x² + 1)ª Evaluate -1 +C OA. 18(3x² + 1)³ O B, In(3x2 + 1)ª) +C 1 OC. + C 18(3x² + 1)³ x2 +C…

A: Given- ∫x3x2+14 To find- The value of the integral

Q: s={y2} The n was

A: Since measure of a finite set is zero.

Q: d²y — 6+ 13у %3D0 dx2 dx

A:

Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A: We need to find: (a) ∣A∣, (b) ∣B∣, (c) AB,  (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣. “Since you…

Q: 1 y dydx %3D 0. Select one: O True O False 2.

A:

Q: If b = 1, c = 2, and ZA = 60o, find a. %3D

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Q: 4x 39 3x + 8y = -6

A:

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: ac %D Əx ac %D ду

A:

Q: Let A = 4a, + 2a, – a̟ and B = aa̟ + Ba, + 3a. %3D (a) If A and B are parallel, find a and B (b) If…

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Q: | (x – 3)2 - c) dx Va2 – 6x

A:

Q: Prov that d dx 2cos2x = -2sin 2x

A: Solution is given below:

Q: Vhich function is equivalent to y = 2(r + 3)+52 %3D Oy = 2r + 14 Oy = 2x + 12a + 23 Oy = 2x + 12r+…

A: y=2(x+3)2 +5