(14) (Hand in)Prove that if (a, b) = d then (ka, kb) = kd for k € N.

Q: Prove let B= 6+ I %3D : m = ',2,3, 3m S. Then inf(8) =6

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Q: Let X-(1,0,-1,-V2)'. Then, |X|l2= Select one: a. 2 b. 1 C. 3

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Q: Prove that if m*( A)= 0, then m* ( A UB) = m*( B).

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Q: Prove that S3 = Inn(S3) = Aut(S3).

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Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: How, Form P.D.E. from: a (3) Ucx,y) = (x²+a)lytb)

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Q: Let u (9, 9, 8) and = (-9, -1, - 8). = Find proj, (u). -

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Q: If u * v = 2i - 3j + k, what is v * u?

A: As we know a×b = - b×a

Q: V ) and A, p 0, and e0. Show that then I',AF0.

A: In the given question  given that γ l=(φ∨ψ) , ∆,φl=θ and and also ψl=θ then we have to prove that…

Q: Find t and P value

A: The given hypothesis is H0:μ=69 versus Ha:μ≠69.

Q: prove that l+2 +3+.. +h = n(ntl) for n=1,2g3 2 %3D

A: Given :               1 + 2 + 3 + ... + n = n(n+1)2 Let P(n) :               P(n) = 1 + 2 + 3 + ...…

Q: (b) Let X = {A E Mat2(R) : A is upper triangular} and let Y = {A € Mat2(R) : A is lower triangular}.…

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Q: Is Q closed over multiplication? (Y/N)

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Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find a. D' b. D-A c. P(A)

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: If x,+iy, =x,+ iy, then x =y, 1

A: Given there are two complex numbers. They are x1+iy1 and x2+iy2. And it is given that x1+iy1=x2+iy2.…

Q: 2F. n 1 ;;1=2" (b), (26)

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Q: n² -1) 2n³ + 1

A: ∑n=1∞ -1nn22n3+1 use the alternating series test an=n22n3+1 an is positive and monotone decreasing…

Q: - 6 - 2t 5t - 1 Determine the derivative of g. Let g(t) g'(t) = = 32 (5t − 1)² ✓ Determine the slope…

A: The function is The aim is to find the derivative of the function

Q: If X~ Uniform(b, 1) and o² = 3μz, what is b? (a) -0.82 (b) 12.18 (c) 20.82 (d) 17.00 (e) None of the…

A: To find the value of b, we first need to find expressions for the mean μX​ and…

Q: Let A = {a, b}, B = {x, y}, C = {x, z}. а) (6.1 #32b) Find P(A x B). a

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Q: (z In z + 5)dz

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Q: Suppose v = 3i − 2j + k and b = 2i - 6j + 3k. (a) Find the vector component of v along b this is…

A: To find the vector component of vector v along vector b (proj_b(v)), you can use the projection…

Q: (9) Let P, Q, R be (a) (¬P VQ) (b) (P mathematical statements. Negate the following statements.…

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Q: n Show that (") = (,“,) n-r.

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Q: Creani Cet G4)= ti t2+34)j +4k HICH) = 2JF L+3tj + find a) H4) XG4) (1+24)k こ b) G4). HGE)

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Q: first prove that ()" <n! < ()" forn2 6.

A: We will prove                        n3n≤n!≤n3n for n≥6.

Q: Q-12)-for the model below Max z=10X1+5X2 st 4X1+2X2540 3X1+3X25 30 X12 0, X2 20 MAX Z=- O 75 O 100…

A: Linear programming. Graphical method

Q: Prove that Σ(;) = 0.

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Q: and (A) (B) = x, = 2x, = 3x, Show that if 8. N N (AB) _ (BC) _ (AC) 1 = y, then the value of neither…

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