Find the of the GS that satisfies the given Cond hb Sum a n=4 b. h=6

Q: Verify that cos kx is a rolulion Also, stafe what kind of DE is the DE above :

A: This question is about solving differential equations.

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A: First we expand using the first column

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A: We have to find the z transform of the following.

Q: 4. Consider the following figure and proof. R Given: GA || TE Prove: AGRA~ATRE

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Q: H.W. Classify the following eq.,and reduceit to the canonical form: (3)U+Uyy = 0

A: As per company norms, we are supposed to answer only first question in case of multiple questions.…

Q: a) Assume that y is a continously functian in t. Evaluate differ entiable TT to

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Q: Write a paragraph proof. 15. Given: ZNOM = LPOR, NM 1 MR PRI MR, NM = PR Prove: MO OR N M 'R

A: Answer

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A: According to the given information,

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A: Handwriting solution given.

Q: Form a DE with respect to t: x = Acos (In t) + Bsin(In t).

A: Sol

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A: Result: If determinant of matrix is a than determinant of  inverse of matrix is 1a. Transpose of…

Q: S Prove that L(cos 3t) (s²+9)

A: Given L(cos3t)

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Q: Evaluate S, 5y²dV where E is the reqion below x + 3y + 6z = 9 in E the first octant.

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Q: Let Sn=Vn. Find an and show that an O but that Sn=ER=1@k diverges. ->

A: Solution:-

Q: 2. Find +he source (メ) Q (x) that the So lutiom U (x it) of k + Qx) 2 - 0 l• Con e

A: given equation ∂u∂t=k∂2u∂x2+Qx,       -∞&lt;x&lt;∞           ...iux,0=0 claim- to find the source Qx…

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A: Consider the following vector: rt=t+1i^+2tj^+t2k^ Differentiate rt with respect to t:…

Q: eb Let A E M₁ (TR) be given If AAt = On HOME JATOT prove that A = On - Does this hold if A EMn (C)?

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Q: _5. Given the fox²dx, which of the following is the integrand? A. O B. 2 C. x D. dx

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Q: Find all values of z such that cosz = 4.

A: We find all values of z such that cos(z)=4

Q: nd C such that AC=E

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Q: Let I = , e2*dx. The approximation of I using the two-point Gaussian quadrature formula is: O…

A: Solution

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Q: Find the resolvent kernel and Solut of ya) = I+5(1-3x+).y(t).d by Alternative procedure

A: Given Integral equation is y(x)=1+∫01(1-3xt)y(t)dt               (1) The general form of integral…

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A: Solve the given problem.

Q: Find the value OF the Modulus oF Z in z=(2-1)(5+j12) 3.

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Q: O Find the set S on wlc fu x) = x Sin X convergas pointwise Cony

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Q: Find all the joint moments m,1, n and k= 0, 1. . .

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Q: 3. ncnt) use PMI to prove that E

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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: find the desivalive d the functian ha)= ainfse and compute h'(2) Th o

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Q: O Find the entropy of the image given by

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Q: Consider the following PDE Uxx + 2x uxy + Uy = 0 a) What is the class of the equation? b) Reduce the…

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Q: 2.18 Obtain the canonical form for the following elliptic PDES: a?u a?u (a) ax? дх ду ay? a?u a?u du…

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Q: ZH E LI and HI 1 GJ. Complete the proof that AGIJ S AGHJ.

A: Here we use two concepts  1) sides opposite to equal angles of a.         triangle are equal. 2)…

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Q: a lal a. 01 : R³ → → M22(R) given by 0 where |2| is the modulus of x.

A: I am providing the solution of part(a) only and the detailed solution is as follows below:

Q: Verify that cos kx a solulion of Also, stafe what kind of DE is the DE above

A:

Q: Assume C and D are chosen at random from {1,2...,n}. Let pn be the probability that C + D is a…

A: The number of pairs (c,d)  with sum m2 is m2-1 for m2≤n and 2n-m2+1 for n&lt;m2&lt;2n. Hence,…

Q: Find the inverse Z-transtorm of he follows housing de X(Z)= tanh (z

A:

Q: Find the value(s) of k such that A is singular.

A: to find the value of k

Q: 2. find the the following equation in simplest arbi Saution set of form. X-3x + 9 = 5Y-10

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Q: Let A and P be an n x n matricies, where P is invertible. Show that det(PA(P-1))=detA.

A: To show that,