4) Osig the inteecal de finiton, find the convo wto a gis diaM fug a of f(+)= cs 2+ 9C-) = e b) Usine above answer, find the Lapber Trans form of f x Q.

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

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Q: 5. (6 + 15i ) 3

A: this is a problem of complex analysis.

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Q: Hor what salue of e dois th. a tollowng matrex haue an Tnverse Q. 2. 2.

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Q: E valugte the cube raot of z when 2=27 Cis(210) ( Let 0s GS360°) Smallost ☺ ualus) targonst ualue).

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: The value of the triple integral 6zdV where E is the upper half E of the sphere of x² + y? + z? = 1…

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Q: 32. In APQR, mZP = 53°, PQ = 16, and QR = 10. Find m2Q. %3D %3D %3D 32. In AJKL, mZL = 113°, JK =…

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Q: 2)Evaluate exdA ,Ris bounded by y = x² ,y = 1

A: By using Fubini's theorem we solve the given problem.

Q: Drag the postulate or theorem that proves the trieng AZWX AY XW a. ATSU AXVW # SSS E SAS

A: which criteria follow to congruent triangle

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Q: ofind the Veelles Such that of A ond R

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Q: 22. Compute the contour integral (Баллов: 2) Sof (2) dz, z E C, if f (z) = and path is semicircle z…

A: Topic:- application of integration

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Q: 2. (– 13 + 3i)31

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Q: (o, 1,) 1. find th directional denivatve in the dire chons of at 2 Gve inter pretahon of amp uted…

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Q: 16. Obtain the toigonometric fouries seajes for A fit) > wt 277

A: The given image is of sine wave form. Here, period T=πand so, w0=2πT=2ππ=π

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Q: Define the det product ICl=C_ d s à and B, which ane glven as A=An T'+ Ay+ Az and B Bx?+ By BzP in…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: F/ prove JhaT cosh(z1+2=)=Coshz.coshaa + Sinh2,Snhze

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Q: 3. Show that S, has the presentation (x, ylx* = y? (xy) %3D %3D

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Q: 5. Use De Moivre's Theorem to evaluate (1 – V3i)%.

A: Demoivre's Theorem

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Q: Let f lany) prove that' flany) di f feren tiable I5 not point lo,0) .

A: Let the function be fx,y=xy Note:  [ We can say that f is differentiable at (a,b) if f is…

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A: Since you have asked multiple question, As per our policy we will solve the first question for you.…

Q: Prove that (A = B) where (A = ax + ay + az) and (B = bx + by + bz)?

A: Given- A=ax+ay+az and B=bx+by+bz To Prove- That A=B

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

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Q: 7. Prove that the SolutmM of y + y = o is B sinx (hint y= Xu) by using Bessel's Functron definstian…

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Q: ) Use the eisenfunctan expausian melbud Solve the vibrating strng Problem = 4 uxx + Sin zx…

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Q: Let A:e? e be gioen ACX,の2-10 2=10, prove thet A Find the spectrom of A. is compact Jun

A: Given linear operator A:l2→l2 is defined by: Ax1,x2,…,xn,…=0,x12,x222,…,xn2n,…. (a). We Know that…

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Q: let A and B be matiices of Con det A) = -1 find the Valué of Cdet(z AT) - dct(-2B )) LA Pproxi mate…

A: Given:- det(A) =-1/2   ,  det(B) =2/3 To find:- [det(AT/5) -det(-2B-1)]2

Q: Ex: © Suppise that the fuowing trausfruntiun Cowneciğa the (I') and (xi) coarduate رک سهاور؟ てス4ス)…

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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Q: show that fo=Ixl is Conlindalus everyuhere

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: b) Show that the following wo matricegane orthogonal tker A =-V3 -2VTO 3/T15 15 E/NTS

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.