123 A=162 3 3 5 9 3 Let Calceelate Ā By Cayley- Hamil ton theorem.

Q: Evaluate h(2), where h = (gon. s (2) = –ig(2) =?+1 1 f (z) . h(2)

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Q: Let f(2)= ¹5 and let C = {z € C : |z| = 1}, described in the positive sense. Determine the value of…

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Q: 2 cos Ø sinotos"0 csc0 Reuorite the expresson as a single triganometrie function whose anqument is…

A: Given: The expression 2cosϕsinϕ+cos2ϕcscϕ, To simplify: The given expression in term of one…

Q: can you help me step by step please

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Q: B. GIVEN: BF 1 AC,DE 1 AC, AB = DC, AE= CF. 18. PROVE: AAFB =ACED. F A

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Q: C. If w=f(x,y) and x = r. cose, y=r. sine. Prove that aw ar aw +1 (2001) = fx² + fy²

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Q: みm 'cU24onba buimoll ut anos Give answers occurate to o tu100yら19 SONe the foilowing tigures 6.8=…

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Q: d csc 'x dx -1 Prove that xVx? – 1 2.

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Q: Jósec? 30/3+2 tan 30d0 8.

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Q: Where Express AB Ас OM A 40A Ac SA X m = midpoint M = OA Bm Prove that = а = b = in terms. m 5 Bc…

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Q: Evaluate: sin ycos ydy. sinºy A siny +C 8. 6. sin y sinsy + C 8. sin°y sin'y + C 8. - 6. sin'y + C…

A: Here we need to solve the given integral .

Q: Let f(2)=³ and let C = {z € C : |z| = 1}, described in the positive sense. Determine the value of Ac…

A: Given that             fz=z4-5z2      and    C=z∈ℂ : z=1.

Q: How do I prove this?

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Q: c) Show thiat det a q² -k-1)(61)-) I <a<b %3D

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Q: The 300-lb block shown in the figure is kept from sliding down the inclined plane by friction and a…

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Q: 3. Show that the equation for G(r,ø) can be separated by choosing G(r,ø) = R(r)P(ø) into OR Rar ar 1…

A: Introduction: The Laplace equation is one of the most important partial differential equations. It…

Q: the work particie that ISwer decimal places.) F(x,y) = (ex - 4y)i + (e' + 5x)j C: r = 9 cos(0)

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Q: 10. What is 2ri 2 fo, h (z) dz?

A: curve C3 encloses points of singularity z=-2 and z=0 in clockwise and counterclockwise directions.…

Q: s show that: sinhCA+B) = SinhA. cush B + Cosh A. simhB

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Q: Only correct explanation accepted. LetZN(0,1)FindE(Z).

A: Given  Z~N(μ=0, σ2=1)

Q: 6. (9) a) Ź Ź ?j Corpute following the 3 c)Tをう 4 2 りさris 2 に 」 Jこ こ1

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Q: Show that the following cosh 3 (0,0) r(3,5) x² y?. (10xdx +6ydy)

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Q: The value of c of fo-2- in the iterval .D such that rio--E) OA 3 OB. -3 OC 3 O0. 3-

A: c = 3explanation is given in below step

Q: 27 dr = iex+ h where a, b> 0. Prove that

A: Prove that , ∫-∞∞e2xae3x+bdx=2π33a23b13

Q: 63. r(и, v) %3D Зи сos vi + Зи sin vj + 18u'k ||

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Q: In the diagram, AB and BC are both tangent to O P. Determine the value of x. 2x + 7 31 12 19 26 31…

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Q: 28. IfI:zxzr = 0, ris a. positive b. negative с. zero d. impossible to determine from the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 11T 60. Given that sec 12 13T V2 - V6, determine the value of sec 12

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Q: S dy ² + 4y+20) ²

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Q: 7. L+ RI = E, where L, R, and E are constants when t = 0, i = 0 %3D %3D

A: The given equation is: Ldidt+Ri=E

Q: %3D otheowis Jiven that Pa) is apd f O find c ?!

A: 1) The value of c is obtained below: Given pdf is, f(x)=cx, 0≤x≤2 ∫02f(x)dx=1∫02cxdx=1   cx2202=1…

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Q: 1)the f a) 3 cosh z b) 0 c) in d) n -dz by using the residues is equal to

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Q: Q:9 Evaluate cot(72)\dz 3 [z e? + by Cauchy's residue theorem.

A: We have to solve the given integral by Cauchy residue theorem

Q: 6e? Evaluate dz by residue theorem, 9z4 + 45z3 where C'is the contour z = 2

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Q: The same toboggan with the same coefficient of friction as in Example 5.16 accelerates down a…

A: Given problem is :   Solution: given that toboggan slides down with friction applied on it.

Q: c. Use De Moivre's theorem to find the following: 4 i. [1+ v3i]*

A: Dear learner, As per our guidelines, we can provide the solution for first one only. Kindly post…

Q: 4)/caso+i)de; let x be const ant a)cin Ceti)+c+x A) -sm (cH) rc -in c.) -sin(c)+c a.) sin (c) + ct X

A: Let's find integration of given function.

Q: 7. Use appropriate formula of geometry to evaluate the followings. L(lx – 3| + V36 – x²)dx b. L(2x +…

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Q: •T/4 Evaluate 4 sec(0) tan(0)de using the Fundamental Theorem of Calculus, Part 2. TT/4 4 sec(0)…

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Q: 2- Evaluite the Value of 4he next nteg Pation by using Ahe trapezodal rule ; Then Find the absoluto…

A: Given the integral                                   The trapezoid formula is given by where…

Q: UCe the Vmit de fi miおもn of rhc aefrile へとgral, im ; fcxi)x - 5fしょsdx」 to prove hat ハう fex) dx= -…

A: Prove ∫abf(x)dx=-∫baf(x)dx using the limit definition of the definite integral as follows. By limit…

Q: Σχ Ey Σχ Ey? Exy N 21 25 143 161 133 4 What is the correction coefficient (r)?

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Q: 1 (aw C. Ifw=f(x.y) and x=1. coso, y=. sino. Prove that

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Q: 10. Evaluate the following: (a) (b) -3 dr (z+ VE) dz (c) (d) */4 sec? e de

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Q: 19 When approximating / f(x) dx with 10 rectangles, what is Ax? 1.8 18 O 19 10 1.9

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Q: Step by step explanation how to solve this problem.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.