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Q: Find the G.S. about x, = 0 for the following DE's 1. (x² + 4)y" + 2xy' – 12y = 0

A: As per our guidelines we can answer only first question and rest can be reposted

Q: tends tu P uniformly. Bare) Vょに [o]、 ノ

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Q: by implicit differen tiation the follondng fin d Dxy トy -8メ

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Q: Her xG N isin x|x dir ve EN *ly re y/2 ie x|7 dir. dir xly ue ylx ie x=y dir.

A: For natural numbers x and y, x|y then y=ax, where a is natural number

Q: Let fr)-ll for x0, then/(x) is Selact one A-1 * CNone of these DNot defined E1 a.

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Q: Find X(S) usng the following 1 |difforen tial oguetion X(0) = 4 x"- 2x' +x = et f(4)

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Q: tes, sno W inut E [XY] = E[X] E[Y] E [g1(X) g2(X)] = E [g1 (X)] E [g2 (X)1 and

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Q: Find y" by imprcit differen fia fên. Simpliey unenoven Po Ssiole

A: Given:- x2 + 9y2 =9  To find:- y'' of given equation

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: F Recaghi2e f the fehctioh abe evola ar ood fex) =X+|

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Q: Let X: EXP(0). suppose Y= 2x , the Y is i = 1 Select one: a. Gamma (n,-) b. Camma(n. 4) С.…

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Q: Let a e R" and let A = aaT. Show that xT Ax = (a" x)².

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Q: O Find the Salution of the fllowinng Inlayrudien (x-2x++x -5) dk use

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Q: d(a*) Suppose a ER, where a>0, a 1. what is dr A a*- In(a) B xa*-' · In(a) D xat-1

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Q: a) Find apression for the nunbr celo,) an for shich Caushy's mUT holdo fo far with frx ) -e ーX e

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Q: 24. If f(x, y)=x²y+cosy+ ysinx, find fu, fyy & fry.

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Q: du k Ət u with ди (0, t) = 0, du (L, t) = 0, and u(x,0) = f(x). Əx²

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Q: en Gx) show that GCxx) = to is a t Slution to x y" + Cy')a = c

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Q: m!n! If m, n e N, then prove that ,, dx = m.n (m+n+1)!

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Q: b) y= In( see x)

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Q: e Find Maclawin keuis fer (1-x) find the Trteswal of each thes deries Jeabovel Maclaulin

A: Using binomial expansion get the Maclaurin series:  11-x=1+x+x2+x3... The ROC is x<1.

Q: X = {a,63 wiTe tind large To Pology le T 2) on X

A: There are 4 topology based on above given set elements Discussed below

Q: az az and du #6. Use the Chain Rule to determine given that av z = x sin (y? – x) x = 3u – v?, y =…

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Q: B. Vevi fy if a solu fion to the indicated differen fál eguat- the guen relatun Cfunchun) is )y=…

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: 2. From each u(x, t) compare the temperatures of Case 1 and Case 2 if n = 2, x = 3 ft and t = 1.5…

A: 2.  Given, the values n=2, x=3,t=1.5. The heat equation given in case 1 is  ut=1.5uxx, 0≤x≤6, t>0…

Q: ta the téduction of order melhod, the substitution y= 5u can be used for the DE: - 3y/= 0, to obtain…

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Q: Suppose m = min{ Vx for x E [4, 0)}, then the value of m is Answer:

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

Q: 1. Find fr fy and fry if f(x,y) = y* + x?y + In xy.

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Q: Nhat is Duf at P(1, 1) if f(x, y) = sin(x - y) and u=i-İ? 3 O 5 O 3 4 O 10 9

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Q: Evaluate Sm e" dæ. • 2 does not exist (diverges)

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Q: Ôz Ôz If Z= tan"'(2) -= 0 show that : *-+ y ôx ôy

A: Let us consider function z=f(x,y) Where f is function of x,y. ∂z∂x represents partial derivative of…

Q: hnd the linear apprakimation ot x:0 to t6-x Weite ny.Ax-b answer in

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Q: EX: Find the Z. T. of X(X) = cas wok u(k) Soin

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Q: Let f(x, y, 2) = eF tan(x² 2) . Compute fay: (x, Y, z) . Simplify your final answer.

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Q: Xarctonx dx which of the following îs the Va lue 1+x2 2) of the întegral în the meaning of Riemonn?

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Q: Solue the differeulial equalion dy +9-é^ Cosre zo yo) =0. 2. by csing milne's methad with h = 0.1.

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Q: F Sin(ncso)- Cscrsin o) , thes the valke of 10+4).

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Q: Q. By e/2silon definition, check the con vergenie of Suquenies 2n+ フ the following く Sn> = ( =…

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Q: The identity S dyd x f, dxdy is %3D O False True

A: We need to check whether the given Identity is True or False.

Q: if y ". y (In z) (a) Find

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Q: Make a ta b le for th e giren be lo w and fin d th e s ta n d ard devia tio n. 3, 8, 16, 12, 4, 5,…

A: Given: The data set with 8 observations. The mean of the data is obtained as below:…

Q: e 2t In (1+7) t lim t→+o t1/2

A: Let L is the value of given Integral.

Q: Ⓒ'Evaluate Sot So Sox sing ²sin y dy dz dx tim of the

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Q: Eliminate the parameter t from the following. ( x(t) = 2+ 2 sect (y(t) = 6 + 2 tant

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Q: O Given Fy)= yi (x, y> andl C? P(E) = for 1s¢s4, evaluate S FidP.

A: We will use the definition of the required integral.

Q: The requved values tor a qud b tor Ple funston to be contimues at x=

A: Use simple continuity theorem.

Q: Let w = r. In(xyz), then which of the following is 2 O a. O b.0 O d. O e.

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Q: If z = 1+ eie Find z*, z?.

A: Conjugate of a complex numberz is formed of same real part and opposite imaginary part. Its…