Hiw.S Let Asitij-zk, B=-i-kandc=zituj-zk finds A-(2B-c) 4-2AX3B saCAXB).c 6- Ax(Bxc)

Q: then 7(1 - а)М? + 6(1 - а) Мт %3D ВM?, 7(1 - а)т? + 6(1 — а)Мт %3D Вт?, Subtracting we obtain Y(1 –…

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Q: Use Cramer's rule to fins a solution: 3x-2y=4 6x-4y=0

A: Cramer’s rule:

Q: 18. M2VUT = 175°, M2VUJ= 17x- 3, and M2JUT=17x+8. Findx. %3D %3D

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Q: Verify that (AB)T = BTAT.

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Q: 5.Use thelefinition to Rrave that Jw wh- 2

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Q: 5. By Chain Rule , evaluate a. y' for y = u? + 4u and u = 4x3

A: This question is related to Differentiation, We will solve it using given information.

Q: Show that the Vingof CamPlex humbers Cf+so) Can be imbealaling inaring of 2x2 matvices (Mzns

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Q: -3 2. Evaluate: V12-피 + z dar 0,

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Q: 2. If BDbisects <ABCand m<ABD=10x-3 and m<DBC=2x+5, find m<ABC. A

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Q: flt) = Ualt) U, It) (t -3)2 + o uslt) sinzlt-s)

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Q: W ZYOZ & ZWOY are complementary MZWOY = 19x - 26 MZYOZ = 10x %3D Find the following: MZWOY = MZWOZ =…

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Q: - check the exi's tence of limol of the Lunetiom 41n at X= 1 %3D 2X+/ こ Xラ-3

A: To check: The existence of the limit of the function. Given: The function is fx=2x+1     -1≤x≤1x22-3…

Q: In AHIJ, HJ is extended through point J to point K, mZJHI = (x + 12)°, mZHIJ = (x - 3)°, and mZIJK =…

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Q: A Moving to another question will save this respons Quèstion 1 If y = u - 4 and u = 3x2 + 10 , find…

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Q: prove using the IVT. √c +√c + 2 = 3 has a solution.

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Q: If Z = eax + by F(ax - by); the value of %3D az is + a ду az

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Q: 2 Find z. TVans form afthe f.llowing (a) {finwns

A: Calculate z-transform for n≥0: Zsinωn=∑n=0∞sinωnz-n               =12i∑n=0∞eiωn-e-iωnz-n…

Q: Prove using the IVT. 2x = bx has a solution if b &gt; 2.

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Q: If u = -12i - 6j and v = 9i + 9j, findu + v. O 21i - 4j O 21i + 3j O -4i + 3j O -3i + 3j

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Q: 20. Algebra mZOZP = 4r+ 2, MZPZQ = 5r - 12, and MZOZQ = 125. What are m2OZP and MZPZQ? %3D

A: In this question we have to find m∠OZP and m∠PZQ

Q: 3. Find a counterexample for the following: a] bd(sUT)- (bds)U (hdT)

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Q: α Let V₁ = {(₁)|a € R}. V₁ with standard V4 operations will fail both axiom "close under addition"…

A: Let A be a set and ∘ binary operation on A then 1. We say A is closed under the binary operation ∘…

Q: Use z = a + bị to show that z + 7 = 2a and z - 7 = 2bi.

A: Given: z=a+ib

Q: Let X,X2, ,X, be a ranc *(X), = 0*(1– 0)1-x; %3D

A: from above distribution is binomial  f(x)θ=θx(1-θ)1-x  ;0&lt;x&lt;1 E(x)= nθvar(x)=nθ(1-θ)…

Q: what is the averaage value of y=a/x on [1,b]?

A: First we have to find formula of average value.

Q: let (X, Z) %3. üit piece wise comnected ?

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Q: iken that I+2=1 xpressyin terms of xand z.

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: (b)* Show that Y' is closed.

A: Actually we shall show, closure of the set = the set. Then this set will be closed.

Q: too x(Ju) - xt) e ot * the famer heansfarm ナR X( Jw) Sen %3D

A: Fourier transformation of a function x(t) will be X(t) and inverse Fourier transformation of…

Q: find z trans foyms of folleing -an simwn ĭ

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Q: K, is planar . K3,10 is not planar . K23 is not planar -. K7 is planar

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Q: Let u (41, U2, Uz). Explain why u•u > 0. When is u•u 0?

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Q: Is 1z = 1 for all z ∈ C?

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Q: If (x+iy) = a+ ib, Prove that + a b = 4(a -b*).

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Q: Find the probabiliti (a) {Y < 8 – (2|X|/3)}, and (b) {Y < 8+ (2!X\/3)}. Compare the two results.

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Q: Let C ~ Cauchy(0,1). Show that C² + C-2 =9 4C² + 2.

A: c^2+1/c^2 &gt;2 thats why it is equal to 4c^2+2

Q: 51 3 -[---] -4 2 -2 Let u= (a) 5u-2v, 3 V= 5 W= -1 Find:

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Q: Find the condition for the two lines to be coplanar. a1 + bjx + C7x + d, =0 = az + b2x + C2x + d2 az…

A: The given lines are    a1 +b1x+c1x+d1=0a2+b2x+c2x+d2=0a3+b3x+c3x+d3=0a4+b4x+c4x+d4=0  To examine…

Q: Compute Projsw given by |2 -1 – 2 and S is defined by 8 [2 – 12]+t[-1 – 13], s,t e R. x = s ||

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Q: Prove false by creating a counterexample: P(AUB) S 9(A) U 9(B).

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Q: 5. Use the in verse motrices to find CAB) (AD ond (2A 22 ー1 4 /- 3. B. 11 2. 3. 3. 2. 2- 2. N/-

A: Given The given inverse matrices are A-1=12114-121123432-2,…

Q: C) prave that sbatz = Clnrtt - an for all nE B, Nzl. %3D |

A: We will prove the relation of part c by mathematical inducation.

Q: SU SW. Complete the proof that ASTW ASXU. T. V W Statement ZW ZU SU N SW ZS ZS 4 ASTW ASXU 2.

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Q: if was T:R Linearidentifir grand father O KerT ImF

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Q: List the sides of AFGH in order from least to greates if mZF=(5x+6)°, mZG=(12x-4)°, and m…

A: Consider the following △FGH: m∠F=5x+6°m∠G=12x-4°m∠H=4x+31° Sum of all angles of triangle is 180°.…

Q: 10. If mZTSV= (6x + 17) and mSV = (15x + 13)', find mSUV. %3D T

A: A circle

Q: Shuw that A s open and closed m (K,r) iPf Bd(A) = . %3D

A: Part (4) We have to prove that A is open and closed in X,ζ iff Bd(A)=∅. It is given that X,ζ is a…