Prove that : a"+ (a+ 1)° =1 +a(1+い) (mod a la+s) for all a, m,n E Z.
Q: 4-IN THE ADJACENT FIGURE, IF AB = AC AND DB = EC, PROVE THAT ABEC = ACBD
A: Consider the side AB as x. Since AB is equal to AC, so, AC is also equal to x. Consider the side BD…
Q: 2 If A = 3 2 3 4 B = 2] 2 3 3 and C = -1 then (BCT)T – CBT – A= - Select one: [ 10 O A. 10 1 O B.…
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Q: If x, y, z are integer's numbers and if x \y then x \ z then: 1) Show that x \ ym – zn for m, n e Z…
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Q: If x, y,z are integer's numbers and if x \ y then x\ z then: 1) Show that x\ ym - zn for m,ne z 2)…
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Q: Prove the following: If ā and b are in R', then (5 -a)×(5 +a)=-2(āxb).
A: Given a⇀ and b⇀ are in R3. To prove : b⇀-a⇀×b⇀+a⇀=-2a⇀×b⇀
Q: show that }I f,lm) Ck-m) 2.
A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…
Q: 4. (а) Let a, b, c E Z. Prove that, if a | b, then ac | bc, but that the converse may be false. (b)…
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Q: Let a,b,c eZ. If a|b and a |c then a' |(b² =c² ). nsi2
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Q: Evaluate (2i)3 a) 8 b) –8 с) -8i d) 8i
A: Let z=(2i)3
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Q: P(X=x) 0,10 0,20 0,30 0,40 P(3 < X S4 )= ??? O A) 0,10 O B) 0,40 C) 0,30 O D) 0,50 XN34 5
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Q: Suppose ū = 2j + k, ū = 2i – 4j + 2k and w = -5i – j+ k. %3D Compute the following values:
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Q: prove the ged (atb,a?+b³) =16Y2 assuming that gcd (a,b) =1 •
A: It is given that gcd(a,b)=1
Q: If x, y, z are integer's numbers and if x \y then x \ z then: 1) Show that x\ ym – zn for m,n e Z 2)…
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Q: What is u × w, assuming that w × u = 〈2, 2, 1〉?
A: Given,w×u=2,2,1 To find:u×w Solution: We know ,by property of cross product of two vectors (say,a…
Q: If u = (3,0), v = (1,2), and w = (1, –1), find a and b such that u= av + bw b = (enter numerical…
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Q: If u = 7 then uu? and u'u =
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Q: 3 Prove the following a) AxB-86A-V Bạ 6) (AXB) (CXD) = e) (AXB) (CxD)=pe Anc-pVB1D =. = (ANC) x…
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Q: 14 - 1 A = - 3 | If 1 Then which one is 100, a) It can NOT be evaluated. 1 0 b) 1 300 1 1 -300 d) 1…
A: We have to check
Q: Q31 a) Prove that Re(iz) = -Im(Z)
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Q: · (b + c) = ² 7. Prove that à. = a · b + ac for all a, b, c € R³.
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Q: In Figure 1.34, find AB if a) АХ 7.32 and XB 6.19. b) AX = 2х + 3 and ХВ — Зх — 7.
A: According to given figure AB=AX+XB ..1
Q: . Verify that: a) (A - B) – C = A - (B ∪ C) b) (A Δ B) ∩ B = B - A
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Q: 4 Show that DE B0) n s+ Ø
A: We will use basic knowledge of metric space (or general topology) to answer this question.…
Q: et x + y+ z=5 where x, y, z E R. Prove that x² + y² + z² >
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Q: Calculate the convolution: x * 2 * e2* . x2 e2a O a. 4 4 8 e2a Ob. 4 4 8 - 4 2 4 O d. 1 x2 e2æ 4 2 4…
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Q: Q: Let z = -4 V3 – 4 i %3D A/ Find the following : 1) Iz| 2) arg (z)
A: Since you have posted multiple questions but according guidelines, we will solve first question for…
Q: Ifx.y,z are real numbers satisfying the equation 25(9x + y) +9:*–15(5xy + yz + 3:x)= 0 then prove…
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Q: Prove if a e G, o(a) =n, then a = reN GCD(n,r)'
A: Given below the detailed solution
Q: 3. If y x +2 and u = 2x -1 then %3D du a) x b) 1/x c) 2x d) x/2 e) None of the above answers
A: Given that y=x2+2 and u=2x-1To find dydu
Q: Find a) Ra Py for ū =|2 3
A: The symbols Rπ2Py indicates that the matrix is rotated by π2 and the projection is on y axis. The…
Q: Q24 prove that b) 3i 3i √2+i √2-i = 2 ?
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Q: Please help me with this question. I am having trouble understanding what to do. Please show all…
A: The objective of the question is to prove that the sum of the kth powers of the first n natural…
Q: xercise 4.2.9 Repeat the steps of the previous example where ad |) = 1/2, -42²) 3 1+2i -29] 1-2i -1…
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