Z1 and 22 are complementary Z3 and Z1 are complementary ВС | DE Given: Prove: A 1 3 D E

Q: -227 z = a – 21 such that arg(2) : Let Then the expression Ln(2) can be written equivalently as:…

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Q: Q(3): Show that: (a) Vx Vo(r) = 0, and (b) V-VX E(F) = 0.

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: This exercise should be done two ways: by hand and using technology where possible. Let A = - 0 AB…

A: Solution-: we have given following matrices A=0-10211020    and B=0-122-2470 We want to findAB=?

Q: For each of the following, state whether it has meaning. If not, explain why: (a) (ū. v) — |w| (b)…

A: We have to find the vector meaningfull

Q: 10 01 /Find the det AB| where A = 0 1 0& B = 2 1 4 1 -5 2

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Q: (7) In general, (SOT)CSnT.But, (SnT) + SnŤ.

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Q: Compute / z(r +2) dr. + 2x) +C +z² +C +C O z°(z² + 2z) +C O z° +z? +C

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Q: 1 2 If R = 3 1 that R² = 2R + cS. and S= 1 1 0 0 1 find a number c such

A: Solving matrices question by finding square of R matrix

Q: 1. Prove L = re L 0 r

A: Circumference of a circle with radius r is

Q: Prove the product rule by use of ΔA=w⋅Δh+h⋅Δw+Δw⋅Δh

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Q: Let G = (Zj0, X10) then o(G) is а. 5 O b. 4 С. 3 O d. 2 О е. 10

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Q: x coth¹x dx = r² coth¹x + + C Prove lut Prove that the right side is equal to the left side الرسم…

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Q: Given that P(X)= P(Y)= and P(XUY)= find 20 20 10 a) P(XnY) b) P(XIY)

A: Given,PX=920PY=720and PX∪Y=710

Q: Evaluate L{3 cos 2t} 3s S а) s2 + 4 b) s2 c) s2 + 4 d) s² + 4 4 a O d

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Q: * S[*****] = Yg = 1 + +x² + %3D + de 1 + x* + 24 3 1 + 24 3 오4 4 +x2 +x + T 24 3 4 24

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Q: so be it r = 3xi + yi – 2zk and f (r) = –- where r| = find all of grad(f) and div ()

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Q: V4v? -9 dv

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Q: Prove from the definition: n3 + 65n2 + √n = Θ(n3)

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Q: H.W: Solve the following DE :

A: Solve the linear differential equation

Q: (iv) Prove that for any sets A, B,C we have A U (B nc) = (AU B)n (AUC)

A: To prove:- Prove that for any sets A, B, C we have AU (B∩C) = (AUB)  ∩(AUC) Method :- I use venn…

Q: Choose the right answer Given A =2x i- 42 j- 3xy k B = 2x i- 2zj (find A.B, AxB, div (A), div (B

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Q: O d. Evaluate 3 dz (2+1)V교+2z -2 oa vSarsec (플) +c + C b. 3 arsec (1) + C C. 3 arsec (팔) +C V3 arsec…

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Q: Given u = -6i + 6j + 6k and w = -2i + 3j + k. Find Ju – w| V50 None of these 4

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Q: 3. 1+-=. 1. х*— 13х2 + 36 %3D 0 2. ха — хе -2%3D 0 3 3. 2n 2 n2

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Q: -1 31 -1 1,D = 3] 1.0 -6 -1 3 Let A = 3 B = C = 3 1 -2 1

A: Topic:- subtraction of matrix

Q: しEgt やと1 fnd X,yiflzxti}{y2)~-2-91

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Q: 11. Prove (AUB) × C = (A x C) U (B × C)

A: 11 prove (A U B)*C = (A X C) U (B X C) here this is the property of distributive  so this is direct…

Q: 1 2 3 1 that R2 = 2R+cS. b. If R = and S= 1 0 01 find a number c such

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Q: (1-exjdy of 28 on Find the halutiom

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Q: Evaluate f (x + y − z)² dV for the box B with dimension: [0, 6] × [0, 4] × [0, 3]. (Use symbolic…

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Q: Let A = {x e Z: 10|x} and let B={xeZ:15|x}. %3D Then * O Bc A O A=B O None of these O ACB

A: Suppose A and B are two sets . Note the following result : If x∈B for all x∈A then A⊆B . If A⊆B and…

Q: a = 268 b = 752 e. Prove that if g = gcd(a, b) then gcd (2) = = 1

A: Given that a = 268 = 2 × 2 × 67 b = 752 = 2 × 2 × 2 × 2 × 47   Now let g = gcd (a, b) = gcd ( 268,…