Given that lim n2(x-5)" converges by the Ratio test. If xEZ then the numerical 1- 00 value of x is equal to ...

Q: Use D-operator methods to find (a) the complementary function yo of (D² – 3D - 4)y =0 (b) the partic...

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Q: 2a + b – b = 9 3a + b + 2c = 23 %3D %3D 3a + b - 2c = 11 %3D

A: Solution

Q: 20. Let z = (xo +x1)/2, h = (x, – xo)/2. To analyze the approximation (4.19), con- sider the error %...

A: Given Let z = x0+x12, h =x1-x02 to analyze the approximation consider the error E =fx0, x1-f'x0+x12=...

Q: It can be shown that y1 e31 and y2 d'y = xe are solutions to the differential equation dy + 9y = 0. ...

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Q: Show that the hypotheses: It is not weekend today and it is gloomy than yesterday. (¬WAG) We will go...

A: We first see that not gloomy and sunny or not sunny and glooomy are equivalent.  i.e., ~Gloomy ≡Sunn...

Q: Question 3. Given the formula 2h use the Taylor series t +h) = v(0) + hy()+ () ++ () + O(). *... to ...

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Q: Let A be a diagonalizable nx n matrix and let P be an invertible n x n matrix such that B = P-AP is ...

A: The complete absolution is in given below

Q: 3. Let A = (-1 2 and B = 2 0 I. Compute tensor products A®B and B® A: II. Compute Hadamard products ...

A: Given A =01-12 & B =1220 1. we have to compute the tensor product A⊗B & B⊗A  A⊗B = 01-12⊗ 12...

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Q: A rich man died leaving P500,000,000 to his children, two boys and one girl. His last will said that...

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Q: [1 27 3. Let A = 1 3 Let the vector space V consist of all 2×2 matrices а X : с d b such that AX = X...

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Q: Ten national leaders are to be seated at a round table at a summit. If the presidents of the US and ...

A: Here we use complementary approach. First we find total ways of seating of ten leaders and then cons...

Q: What can be said about the lines defined by the equations y = 0.25x + 8 and 3y - 3/4x - 24 = 0 recip...

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Q: One of the following is a general solution of the homogeneous differential equation y" – 7y + 10y = ...

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Q: Homework. Find Sup, Inf, Max, Min of the following subsets of R: 2) S2 = {x ER: 3x2 – 10x + 3 <0}. S...

A: We have to min, max, sup and inf of given set.

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: For the Euler differential operator, aind a utios to the homogeneous equation L=0, then use reductio...

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Q: Exercise No. 4. Elimination of Arbitrary Constants by Determinants. Show your solution. 1. x sin y –...

A: Formation of the differential equation, with elimination of arbitrary constants

Q: Find Hhe alope ļr=sino elpe r=sin'o when 3

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Q: 1. If 1+ A is nonsingular, show that (I+ A)"' and I– A commute and (I + A) +(I+ A')"=1, where I is t...

A: Given I+A is nonsingular and we have to show that I+A-1 and I-A commute and  I+A-1+I+A-1-1=I

Q: 1. Using the definition, not the table, find the Laplace transform of the function f(t) shown below....

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Q: n an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How m...

A: Given: Number of floors= 8 Number of apartments on each floor=9 number of windows in each apartment=...

Q: Given the set C={2,4,6,8}.Consider the relations R 1 and R2 defined on C as follow: (x, y)e R; if an...

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Q: 1 е dx x3 2.

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Q: Given 2 8 -2 -10 -67 [1 4 0 -4 -17 rref 1 4 -2 -6 -5 0 0 1 1 -1 -4 1 5 3 0 0 use the reduced row ech...

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Q: 6. Let g(x) = -, Find the domain of g(x). 2x2-3x+7 7. Let f(x) = 8. Suppose f(x) = Vx – 3 and g(x) =...

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Q: Five friends share paying the restaurant bill with the ratio 2:2:3:4:5. How much is the largest shar...

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Q: 4. Let u o, where o is the zero vector. Show that there are exactly two unit vectors that is proport...

A: This is a problem of vector algebra.

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

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Q: (-3 – 6i) transform to polar form i 7n 5e 4 transform to rectangular form V5 + 3i transform to stand...

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Q: Prove that a set A is countable if and only if there exist an injection of A into N.

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Q: Calculate the total amount earned at the end Principle -10 000 Rate -12% Number of years-36 months

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Q: Example Let -- [1 -4 4 A = 2 -6 5. -5 4. The characteristic polynomial of A is CA(A) = -(A + 1)² (A ...

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Q: 2. Reduce to the form a + bi: d. sinh (3 + 4i)

A: To reduce sinh(3+4i) in the form a+bi.

Q: The arduous task of combing and tying up long hair and a desire to assimilate has led to approximate...

A: Given - 25% of Sikh youths do not wear turbans. To find -  P= Probability of an Event x a) P(x=2) b)...

Q: Apply the eigenvalue method to find a general solution of the given system. Use a computer system or...

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Q: Prove that if matrix A is invertible, then |A^-1| = 1/ |A|

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Q: Given the set C=(2,4,6,8).Consider the relations R 1 and R 2 defined on C as follow: (x, y)e R; if a...

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Q: Use Stokes' theorem to evaluate the surface integral I of the two-form w = dŋ, with n = (xz+ yz²) dæ...

A: η=(xz+yz2)dx+(sin(y)+z+5x)dy+xyz dzz=13-x2-y2,   z≥9 F→=xz+yz2i+(sin(y)+z+5x)j+xyzk z=9⇒9=13-x2-y2 x...

Q: H.w/ Findthe forthes tand closest paints.ah the sphere x+y+2'=36 from p(l2,2).

A: I used Lagrange Multiplier to solve this. 

Q: Detremine the Inverse Laplace of the ff: F(s)= (2s + 1)2 s4 show complete solution

A: We determine the inverse Laplace transform of  F(s)=(2s+1)2/s4

Q: Determine the value of K such that the points A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,K,-2) lie on th...

A: Given A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,k,-2) AB→=(0-4,(1+2),(0-6))=(-4,3,-6) BC→=((1-0),(0-1),...

Q: Solve the recurrences relation A¸ = 4 · A 3 · A n-1 1 n-2 subject to the initial conditions A¸ = 1 5...

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Q: 1) . (x + y)e*-y´dA where R is the rectangle enclosed by x – y = 0,x – y = 2,x + y = 0, and x + y = ...

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Q: Suppose “a” is an integer. If 5|2a, then 5|a.

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Q: Finde the eigeralues and Sche Iritia Value family eigenfundtiono

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Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players ....

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Q: (2) Let x, y E R. Then: (a) 3r€ Q3 x <r<y, (The Density theorem of the rational numbers). (b) 1* 3z€...

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Q: Theorem 10 bounded veriation on la bl Then f is bounded on lo. bl Let (a, b] C R and f : [a, b] → R ...

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Q: Use any test for convergence/divergence to show that the series converges. V12(-1)" 3" (2n + 1) 00 (...

A: This is a problem of series.