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

Q: . If f (x) = prove that f (x): 1 sin x Cos 2nz %3D sin x, 0sxsn, n=1 4n2 - 1 1 Hence show that 1.3 1...

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Q: The topic is algorithms and analysis so the proof should be along those lines I think. Thank you! 2....

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Q: Solve the initial value problem y" – 3y' – 10y = 0, y(0) = a, y'(0) = 8. Find a so that the solution...

A: Solve the given differential equation using the given condition.

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: The solution of the boundary value problem (D² + 4²)y= 0 , given that y(0) = 0 and y(÷)=1 y = 4 sin ...

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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...

Q: Which of the following is NOT proportion? * A. 25:100= 1:4 B. 7:8= 21:24 C. 9:12= 3:4 D. 13:26= 1:3

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Q: Determine whether xT= (0,, ) is an optimal solution to the following linear 5. program. maximise rı ...

A: We are given a linear programming problem stated as a tabular form follows. MAX x =   0.5 x1 ...

Q: a) ||x|| = (x1)² + (x2)² (Euclidian norm) b) ||x|| = (x1)² + 5(x2)² c) ||x|| = |x4| + |x2|

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem....

Q: Log(2 – 5i) Evaluate:

A: Introduction: The logarithm of a complex number can also be calculated. The obtained result is again...

Q: Find equations for the tangent plane and the normal line at point Po (X0,Yo,Zo)(1,5,0) on the surfac...

A: As per our guidelines we are supposed to solve only one question. For the solution of the first prob...

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

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Q: Theorem 10 Let (a, b] c R and f : [a, b] → R be a function of bounded variation on [a, b]. Then f is...

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Q: 6- find a, b and cif: w:a.tan Cx"+)- bxy + cy Ln しそ) + cy Ln LZj そー2 t-z X ニ x = zt? y =2e and z: 2t...

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Q: 92) Determine the Surface area region fobaling y- of the Salid obtained by (24-x)(29+x), lxl s2 abeu...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: (a) Solve the following linear equation by Cramar's rule:- x - y + 2z = -4 Зx + у — 4z %3 -6

A: # We are entitled to solve one question at a time, please resubmit the other questions if you wish t...

Q: 2. Now consider the series v8(4n)!(1103 + 26390n) 9801 · 3964n (n!)4 This series was discovered by t...

A: (a) Given series, ∑n=0∞an = ∑n=0∞8(4n)!(1103+26390n)9801·3964n(n!)4 Here, an = 8(4n)!(1103+26390n)98...

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: y" + y = e=t ; y(0) = y'(0) = 0

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Q: rcise : The residue at z = 0 of f(z)= (2-2)(z-3)(z-5)™. (a) 0 (b) -10 (c) 10 (d) none of these

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Q: 3 -1 fo-4 3 [B]= 2 -3 2 1-1 4. 2. 20-3 FIND: 2.

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Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

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Q: using truth tables, show that the following premises leads to tautology: (A^~C)v((BvC)v~(CvA))

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Q: 6. Using the method of Lagrange multipliers, find the the maximum and minimum values of the objectiv...

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Q: 2. (a) Find (if possible) a function y(t) such that its derivative is itself. That is, find y(t) suc...

A: (a) y'(t) = y(t)       => dy/y = dt    Integrating both sides, we get,           ln y = t + ln C,...

Q: Use the annihilator method to find a general solution of y" + 4y/ + 4y = 10z³e 2=

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Q: 6. Let f: A R be a continuous function. Show that if A is compact then sup f(A) e f(A).

A: Sup(A) under the continuous function

Q: In the year 1970, the median price for a house in Idaho was $54,200. By the year 2000, the median ho...

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Q: Solve the following linear system by Gauss elimination. -2b + 2c = 8 %3D 4a + 16b – 8c = -4 %3D 8a +...

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

A: Solution

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: 5. The following linear differential equation models the charge on the capacitor, q(t), at time t in...

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Q: Theorem 2. Let R and S be binary relations on a set X. Then, (a) (R-l)-' = R. (b) (RUS)-I = R-Us-!. ...

A: Given: R and S are binary relations on a set X.   To prove: (a.) R-1-1=R (b.) R∪S-1=R-1∪S-1 (c.) If ...

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

A: This is a problem of counting.

Q: Question 4. The following are logical laws shown in our lecture. Find their dual versions if exist. ...

A: We have to find dual versions of given logical laws, if they exist. Pre-requisite :  P1) Two formula...

Q: The equationr= 3cot@csce, expressed in rectangular coordinates is given by: (a) y? = 3x (b)/3y = x2 ...

A: Relation between polar co-ordinate and rectangular co-ordinate x=rcosθy=rsinθx2+y2=r2θ=tan-1yx

Q: Use the divergence theorem in R to evaluate the surface integral I of the two-form w= (zry + e) dy A...

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Q: 6. Let f : A→ R be a continuous function. Show that if A is compact then sup f(A) E f(A). 7. Show th...

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

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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: xy = 4

A: Solution

Q: Questions: Evaluate the integral using a linear change of variables. (x + y)e-g° dA R where R is the...

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Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

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Q: Is the function f(z) = (x + y²)+ixy contin- uous?

A: Introduction: The Cauchy-Riemann equation is a significant equation in complex analysis. It is the n...

Q: 45 16 6

A: We have to divide these two problem. Here is the solution.

Q: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. Show that A x (B x...

A: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. To show :-A x (B x...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: see the attached image 

Q: at point Q: a;(4)² + b;(4) + c, = 2 ------ egn 1 az(4)² + ba(4) + C2 = 2 ------- egn 2 at point R: a...

A: We have to show complete solution of how each constants a1,a2,a3,b1,b2,b3,c1,c2 and c3 are obtained ...

Q: A carpenter's enterprise produces tables and chairs. For the construction of a table, 30 meters of w...

A: Given A carpenter's enterprise produces tables and chairs. For the construction of a table, 30 meter...

Q: 3 1. Let A = 9 -2 -6

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