Prove: If (where b + 0 and d + 0), then C + d d a + b

Q: PROVE: Z3 = 26 k 2 4 3 a 5 8 7 b LO

A: Given:

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

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Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute…

Q: sobeit r-9xi+37i+922k and tr=35 here tri- rfindatlof gradffland div where C fixedamonnt

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Q: ifa+b+c=6, a2+b2+c2=14, and a3+b3+c3=36 then abc is

A: Solution:

Q: a b If p q |x y C r ZI ja+x b+y c+z 5z -r = -4, evaluate 5x 5y -P -q

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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: Use the union rule to answer. If n(A) = 9, n(B) = 10 and n(A N B) = 3, what is n(A U B)? ... n(A U…

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Q: Prove : (A-B)n C =(A n C) -B

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Q: Use the union rule to answer. If n(A) = 6, n(B) = 10 and n(A N B) = 4, what is n(A U B)? n(A U B) =

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Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

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Q: Cx-3) Gょ2)tG3)

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Q: 51 -1 4l* 3 Q2) If A = |, and B =Ľ show that -2 (A + B)² # A² + B² + 2AB

A: Given: A=12-21 and B=35-14Then A+B=12-21+35-14=47-35(A+B)2=A+B×A+B=47-35×47-35=-563-274

Q: b) Let: [1 1 0] A = 0 2 3 10 1 and B = 0 2 Determine: (i) AB. (ii) A+ A".

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Q: 8² 8²v 8² = (x² + y² +2²) −¹, then + + is 822 მ2 If v=

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Q: 3 | (16t3 – 12t? + 6)dt

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Q: prove: d2f 2 D² f(r) = dr2 + 2 r df dr

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Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

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Q: lAcOs3x+B sin sx) この

A: Given solution with condition is  yx=exAcos3x+Bsin3xy(0)=0y'(0)=1

Q: 223+-5 -j Suppose z1 = 2+ j, 2 = 3- j2 and z3 = -+j Evaluate %3D 2-a+3-j

A: Substitute the given values of z1,  z2, z3 in the given expression and simplify.…

Q: Find all vahues of a b, c and d such that [: ]-[::] a-b ŏ+a 8 1 3d+c 2d- c 7 6 Select one: O a. a =…

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Q: 3. what is the simority ratio of the smoller to the larger smilar cones? V=D250m m' V3D1024m m

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Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

Q: Which of the following is equivalent to 3 - V2 O A. V2 А. O B.-V2 3- V2 O C. 3+ v2 O D.

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Q: f z dz z+1 Ans. 1 - Int

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Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

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: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

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

A:

Q: Show that (A + B)2 is not equal to A2 + B2 by showing that this is not true with A = 3 and B = 2.…

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Q: b) Evaluate ſ, S s,(x² + y² + z²)dxdydz.

A: Integrate with respect to x and plug the limits.

Q: (2+2x) e4+2² dæ her tonic

A:

Q: Without expanding, show that

A: By using properties of determinant we have to show that: 1ab+c1ba+c1ca+b=0 Applying C2→C2+C3 in LHS…

Q: 2zdz 21.17. So z²–4)² 2

A: The solution is given below in the next step:

Q: Let z₁ = 7 - ni, 2₂=2 m+ 3 i, and Z3=4-7 i If 2 Z₁ + Z₂ + 2 z3 = 28+5 i,find m and n: m n=

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Q: Q1: Determine if a +b+c+d=10 where a, b, c, d ER are such that: 6x³+3x²-5 -1 2a x-l + 3b x+1 + cz…

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Q: 25) Find mzDCA 50 +x D. 75+2x 175°

A: