Q1 The hyperbola x? y? 16 9 is shifted 2 units to the right. Find the center, foci, vertices and sketch of the new hyperbola. Q2 Find the value of x and then check. 4coshx + sinhx = 4 Q3 Prove that sinh 3x = sinh³x + 3cosh?x sinhx = 3 sinhx + 4sinh³x Q4 Evaluate the following integrals cosh? (;) dx 1. -In2 2- | cosh(Inx) dx dy Q5 Find dx 1-y = 2x tanh/x 2 - y = (4x? – 1)csch(ln2x)

Q: p   and 0 < p < 40

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Q: Question #9: A square matrix for which all diagonal elements are equal to 1 and all nondiagonal elem...

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Q: Lemma 2.8 B is a basis of T iff VO ET 3 BO CB : 0 =UBo Proof: excercises.

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Q: 7. Consider the sets A = {x |x € Z, -2 <x < 2} B = {a,b, c} C = {1,3, 5, 9, 11} D = {-2, –1,0, 1,2} ...

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Q: Find dx/dy if y = V 1 + væ

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Q: 7. Solve the particular solution using variation of parameters. (D² – 5D+ 4)y = 8e" A. (8/3)xe^x B. ...

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Q: 1. 23.237, dp = 1 2. 3/8, dp = 2 3. 10/7, dp= 3

A: This is the problem of counting. Error Analysis.

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Q: Let f(x) = a² and Pn be the tagged partition of [1, 3] made by subdividing the interval [1, 3] into ...

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Q: y" + 4y = 0 ; y(0) = 2,y'(0) = 2 %3D

A: Some properties of Laplace transform  Ly''=s2L[y(t)]-sy(0)-y'(0) L0=0 L-11s-a=eat  

Q: 16 In the vector space R, let u= (1, 2, 3), v -(3, 1, 5), w-(3,-4, 7). Prove that the subspace S spa...

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Q: Disprove: X={r1, 12} iff V, (z E X +x=VI=T2)

A: To do: Disprove the statement                                                                   X=x1...

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A: The solution is given as  

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Q: Question #3 * Two matrices A = [a] and B = [b,] are equal if and only if A and B are of the same ord...

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Q: Sec. 3.3 In each of the following linear programming problems, do the following: а. Define variables...

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Q: 3t 7. Determine the solution to the I.V.P. y"+7y'+12y=21e"

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Q: Relations Given the sets over the domain {a, b, c, d}: A = { (a, a), (b, b), (d, d), (b, a) } B = { ...

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Q: 1. Evaluate the principal value of the complex number : (3 + j4)(3+j4) O A. 3 + jo.592 О в.3-ј0.592 ...

A: Given: The complex number, 3+j43+j4   To evaluate: The principal value of the given complex number  

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Q: syidr + [2yłn () + 3siny]dy: 6. x²+3x 3y?dx 5x ;when x = 1, y = 0 x+3,

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Q: 4.13 Let {u1,u2,..., un} be any orthonormal basis of (where F R or F = C). Show that %3D Euju; = 1. ...

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Q: On Your Own 1. Draw and cut out a parallelogram and name it PINK. 2. Fold it along the diagonals IK ...

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Q: R.4. Prove that for any positive integer n, (6) + 2 (4) + 2² (5) + 2³ (3). ... + 2" = 3".

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Q: 8. Solve the general solution of : (Using Method of Undetermined Coefficient) (D² – 6D+ 9y) = et O A...

A: Solution :- The given D.E. is         ( D2 - 6D + 9 ) y  = e3t then , we have to find the solution ....

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