y Р(2b, 2c) Q(?, ?) S(0, 0) R(2a, 0)

Q: (y®+ 4y³-Ay) dy y2+10 6. ,3.

A: LetI=∫y5+4y3-4yy2+10dyI=∫y5y2+10+4y3y2+10+-4yy2+10dyI=∫y5y2+10dy+∫4y3y2+10dy-∫4yy2+10dyTake constant…

Q: If r = 3, s = 4, t = 2, then 3r+ 6s - 2t = 4r + s + 2t Select one: True O False

A:

Q: If n(A) = 41, n(8) = 17, and n(A N B) = 4, find n(A U B).

A: In this question we have to find n(A U B)

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: Find x and y if: 16*+2y 32*+3y 32 and 8x-y 16*+2y 8. ||

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Q: Verify A(BC) = (AB)C, where 3 0 A = [¹, 3). B-² i 2). C= ² 1 01 0.2 = -3 1 1 1

A:

Q: b) (x-1)² 4 (y + 2)² 9 = −1 5 -5 5

A: This is the standard form of a hyperbola that opens up and down. Let's identify its properties…

Q: 4. (2x² – y² – z)²

A: Use the expansion formula: (a+b+c)2=a2+b2+c2+2ab+2bc+2ca

Q: Given the universal set U = {x|xel, -10 <x<10 } A = {-2, -1, 0, 1, 2, 3 } B = { 2, 3, 4, 5, 6, 7} C=…

A:

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: (z-1) If dz then A B = (2- 3)(2 + 7)

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Q: dz 22 z²+4z S

A:

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

A:

Q: #X-N, (M. E) where QX)-2X +3X;-2X,x, Find M.

A:

Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

Q: Does each of the following series converge or diverge? Why? Show all your work and MUST include the…

A: To determine whether the series ∑n=1∞​(3+8n2)(2n2+1)​​ converges or diverges, I'll use the Direct…

Q: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

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Q: If n(A U B) = 96 and n(A) = n(B) = 69, find n(A n B).

A: Let A, B be sets and n(A), n(B), n(A∪B) be the cardinality of the sets A, B and A∪B respectively. It…

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: (x²9) Lim X→3 (X+3)

A: To calculate

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

A:

Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: 1. If A = B = 2 - find (a) A +B, (b) A - B, (e) 2A – 3C, (d) 3A + 28 - 4C, () AB, S BA, (9) (AB)C,…

A: Note: Please repost remaining subparts as i can answer 3 subparts as per my policy.

Q: 2 d) ²₂t(t4 +3t)dt -2

A: We need to solve ∫-22t(t4+3t)dt

Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

A:

Q: Find L - (8+3)3] 7 12 O 9t%e-3t O 6te3t O 6t?e-3t O 6t2

A: Use property of inverse laplace transform

Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

Q: Evaluate S eas cos?(y s) ds. V2

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Q: If 16a4 + 36a?b2+ 81b4 = (4a² – xab + yb²)(za2 + 6ab + yb?), then find the value of v(6xyz).

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Q: If n(A) = 104, n(A U B) = 141, and n(A n B) = 42, find n(B).

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Q: 2. ydx + (3x – xy + 2)dy = 0

A:

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: ele3++2) =

A: The following formulae are used in finding the Laplace transform of the given function.

Q: (03 • 20 +D• 2) y =0

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Q: 8. 2z (z – 1)?

A:

Q: P(oc) - -2

A:

Q: If n(A) = 41, n(B) = 21, and n(A n B) = 9, find n(A U B).

A: Given n(A) = 41 n(B) = 21 n(A n B) = 9