12. Find the laplace transfey of pesiodic signal *×せ) 2. 2.

Q: Let G = Z31, S = {1,5, 6, 25, 26, 30}. %3D %3D Prove that Cay(G, S') is normal.

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Q: Evaluate | Vtan a sec" zdx. O a. 2 z tani z +tani +C 2 O b. 2 tani æ + tan +C 2 Ос. 2 O c. 2 2 t…

A: To evaluate the integral,  ∫tanxsec4xdx Rewrite the term sec4x=sec2x·sec2x…

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Q: Suppose that ACBand that .P(A) = 0.3 and P(B) = 0.2 %3D Find P(B|A) 0.3 1 0.06 0.1 0.2 0.5 SHOT ON…

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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: Grien V=In (xity?) show that dye

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Q: Lw(s) ~ 1 – Show that 1 is MTTF where

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Q: Ex: © Suppise that the fiowing Aransferuntin Conneclğs the lei) and (ti) coordnate Syshems; a4ス?) 2…

A: Given that, ζ=x¯1=ex1+x2x¯2=ex1-x2 To find: a) Jacobian matrix J and J-1 b) Compute J¯

Q: 5) Let à = psin(4)ū, + p² Ug Evaluate f Ã. dl given that L is the contour of the following figure.

A: Let A→=ρsinϕu→ρ+ρ2u→ϕ we have to evaluate ∮A→.dl→

Q: 2. Given: PT || QS Prove: APRT O AQRS a. R. b. What similarity transformation maps APRT onto AQRS?

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Q: 2 write Dirac Delta beinction and it's laplace trans forms.

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Q: find the Zero and order of the Linear trans formation TIRR defined as Teab)=la+bg d-byb)

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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 =…

A: 32. Here, we have given the length of two sides and measure of one angle of △PQR. So we will use the…

Q: det(A) Show that det(AB-') = %3D det(B)

A: Consider, Let A and B be the two n×n matrix, Now Consider, detAB-1 We know that the theorem, Let A…

Q: we divesgencatheosem to evaluate + XzK. dA cohose sisthe boundasy of cube definedd by

A: By divergence theorem we convert the given surface integral to the volume integral, and the region…

Q: Find the reductión Bormula Bor d x In (a+bshmx)"

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Q: Which of these statements best describes the trlangle?

A: Law of sine: - The rule of sines is the ratio of side length to the sine of the opposing angle in…

Q: 14. Eind. the. lozal.maaim.um.minimum. And.Saddle. puints.e. A...

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: Let X, and X, independence r.v. have same moment generating function (1-) where isa, let Y=aX₁…

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Q: Dipsonsiyel Dentlemler Sinay Asagıdati birinci drece difransiyel Denk- y/1) - T kosulunu seğlayn…

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Q: 1-Failed in one of them at least? 2-Failed in one of them at most? 3-If it is failed in shear to be…

A: HERE DEFINE EVENTS  AND DRAW VENN DIAGRAM S= FAILED IN SHEAR TEST A = FAILED IN ABSORPTION TEST

Q: 3.5 30 21 Not drawn to scale. O SAS- Theorem O SA- Postulate O SSS- Theorem O AA- Theorem

A: There are 2 theorems for similiar triangles. SSS and AA theorem

Q: Find the rank of A= = xS+ x + invertible. [exham S] O A MOITERUD 225 10-4 and explain why it indic 4…

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Q: Find the draganalictle rohx A that ene eegmpars.

A: Given λ1 = 2,  v1 = 11λ2 = 3,  v2 = 21

Q: 10. Use the principle of superposition to draw the waveform that would result from the interference…

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Q: Chapter 15, Section 15.1, Question 017 Find div F and curl F. F (x, y. 2) = x° i- 7j + yz k Enter…

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Q: y Verify Euler's theorem for u = x' In

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Q: 12) Find the clamped cubic spline for the data (1,1),(3,4), using that f'(1) = 2, f'(3) = 5

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Q: 4) Which of the following foumulas does not Kold for all x, we CZ O la wl= |2). Iw). (6) X W = ņ. W.…

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Q: 10. Given: YX = ZX WX bisects ZYXZ Prove: AWYX AWZX

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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

Q: 11. Use the error bound for the trapezoidal rule to find the smallest N such that the error in…

A: (11) Consider the provided question,

Q: Show that if, in using the Laplace development, you accidentally multiply the elements of one row by…

A: A 3×3 matrix a11a12a13a21a22a23a31a32a33.

Q: 2 let C be an arbiterery curve from l0,0) to D). (2,4) Evala vute: (3x² oy, x-2)- dio

A: To find the value of the given line integral.

Q: tnd the kes reetor projection of anto r if

A: Given : u→=5i→+2j→ and v→=6i→-3j→

Q: *Write ascript Ble for tayler polynamial of order 5 foU= LnX near Por where the out put is ycl-15).…

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Q: What is the main difference between Jacobi's and Gauss-seidal?

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Q: Region ¥=1=sino jn 1-st q4adrant enclosed by the eardieid

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Q: Which of the following DEs are first order linear DEs?

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Q: 8. 1 uy? length of the given ven Curve, Find the

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Q: 4. Evaluat the fellowing usingg Simpson's ţ Fulos hd A-j°x?dx; Aus.(8.667) BaS Z x SAns. (8.7159) .…

A: To use the simpson (1/3)rd rule

Q: Let V and W be finite - dimensionl vecter s pace over

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Q: Find the general Salation tor the

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Q: 7 the n ya In Cx? _y?) Do not Equatio InCx-yリ Do not check modificd Laplace

A: This is a problem of partial and Laplace.

Q: Compute the Laplace transfam of :

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

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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…

Q: Je find The general Solutivn od DiE+

A: The detailed solution is as follows below:

Q: 3,4 show that the integsal (Xy°ty%dx + 3) Independent of the path joining the peints (1,2)and 3,4).…

A: A function F is path independent if it is conservative. And if a function F is conservative then…

Q: Fiad Laplace transfonm of the functian Shown belowin

A: Solution