Find the limit of the sequence if it converges; otherwise indicate divergence. an = (-1)" (- %3D

Q: A -1 =

A: We have to find the inverse of given matrix.

Q: Use a property of determinants to show that A and AT have the same characteristic polynomial.

A: To show that A and A^T have the same characteristic polynomial by using a property of determinants.

Q: Find a basis for the subspace of ps W= , X3, X4, Xs )x1 + 2x, + x5 = 0} OA {(1.0,0,1). (0,-1,0,0,2).…

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Q: fi(x) A = {fi, f2, f3} c F(R) and f(x) fa(x) 1 |x+ 1| PROVE: A is linearly independent. (A L.I.)

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Q: Determine the answer to the question. Twelve percent of what number is 48? The answer is

A: Let n be the required number.  Then,         n x 12% = 48       => 12n/100 = 48       => n =…

Q: 18. A manufacturer wants to make cylindrical cans. Each can must be able to hold 1200 cm³ of liquid.…

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Q: Let W = {[x]∈ R2^ | y > or equal to 0} .             [y] (a) If u and v are vectors in W , is u + v…

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Q: 4. Find the solution of the following set of simultaneous equations by LT with conditions y(0) =…

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Q: -2x 2. Apply Maclaurin's series to obtain the first 5 terms in the series for e .

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Q: Evaluate the limit for the graph: lim Ax). 4 2 4 -2 0 2 -4 does not exist 4.

A: To evaluate the given limit

Q: [1 0 0 15. Consider the matrix A : 1 -2 2r 4 where r is a constant. 1 -r + 2 The values of r for…

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Q: 13x3sin(는)= 13 2.플) .3, lim %3D (x.y) → (1,-

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Q: Use mathematical induction to show that, for any positive integer n, we n have that n(n+1)(2n+1) k2…

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Q: PROBL 2: Determine the Taylor Series of f(z)=arctan(z) with center Zo=0. f(m) (2) a %3D WITHOUT…

A: We have to determine the Taylor series of fz = arctanz with center z0 = 0 , without using an = fnzn!…

Q: 7. Convert the given ratios into corresponding numbers and prepare a complete table for the…

A: Faculty and Sex wise Distribution of students in College X, Y, and Z during the year 2000. Strength…

Q: Determine ar and y such that 4 -6] 4 2x + y [4 4 -4] x – y 0 -27 0 2 1 4 3

A: To determine the values of x and y.

Q: Use the given transformation to evaluate the integral. 3xy dA, where R is the region in the first…

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Q: 1-22 dz 212-1)(2-3) 121=2 using lourent's series find Residues

A: Lourents series

Q: @ function examine the

A: Given that, the function is F(x)=xe1x-2. Note that, the function defined for all vales of x except…

Q: 3. Properties of Affine Sets. Suppose C c R" is an affine set. (a) Consider K points x1,. ...., Xk E…

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Q: Compute, step-by-step, the first and second derivatives and the maximum valu function on the given…

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Q: бп? + Зп = 3 2n2 – 5 Prove lim 6.

A: Limit of the fractional  value

Q: 1. Apply Maclaurin's series to establish the power series of tanx.

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Q: is transformed into the graph of 2y 6 y = f(x) becomes point ( 57, If the graph of y = E(x) -4 f( x-…

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Q: Determine the answer to the question. Thirty-one percent of what number is 217? The answer is

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Q: Consider a Ctosed Kectangutar boxwith a Hw.4 squar bare If base side is measured with evror at and…

A: Let the side of square base is x and and height is y. given that error in x is 2% and error in…

Q: Test the series below for convergence using the Ratio Test. 0.6" n=1 The limit of the ratio test…

A: Solution

Q: Use the present value formula to determine the amount to be invested now, or the present value…

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Q: Find the (a) approximate error and (b) relative approximate error of the following: The derivative…

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Q: Find the area of the parabala : z-2x*+ 2,² that lies between the levels z=¢ and z=2. To do this,…

A: Given the equation of the parabola z=2x2+2y2 that lies between the levels z=12 and z=2

Q: Let yi = e* and y2 = homogeneous DE. Then, be solutions for a is also a solution to the DE. Select…

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Q: Find the canonical prime factorization of this using Fermat’s Method and solve for the Number of…

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Q: 0, -T <r < 0, 3. Consider the function f(x) ={- (a) Find the Fourier series of f over the interval…

A: At the point of discontinuity of the function f(x), the Fourier series converges to the average…

Q: Education. In Country Q in​ 1960, 85.7​% of​ school-age children were enrolled in public​…

A: Since there are 360 degrees in a pie chart, we shall convert respective percentages into…

Q: We have emphasized that the Uniqueness Theorem does not apply to every differential equation. There…

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Q: Simplify in polar form (sin 0 + i cos 0)¬n Explain your reasoning.

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Q: Jill's credit card was stolen. The thief charged a $900 kayak on the card before she reported it…

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Q: If [2 A = |1 4 4 2 3 27 -3 and B = 4 4 [0 -2 -3 -4 4 Then 6 11 10 2A+B = 6. -1 6 -1 -8 -2

A: The given question is related with matrices. Given that,                A = 2441-320-2-3 and B =…

Q: Find the area of the part of the plane 3x 2y 6 that les in the first octant. Part1ofs The surface…

A: The solution is below.

Q: Find a Taylor series expansion around x = 2 for f(x) = ln x

A: To find the Taylor series expansion for f(x)=ln(x) around x=2 is given by :-

Q: -4 3 -4 4 A = 2 1 and B= -2 [3 -4 2 4 1

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Q: Please answer part a).

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Q: 1-2Z 212-1)(2-3) 21=2 Lined the resdue

A: We have to evaluate the given integration.

Q: Compute the following: -6 9 -87 7 -8 -1 3 4 + -5 -6 6 -8 1 8 4

A: Let us consider two matrix A and B Sum of the matrix exists if matrices are of same order Sum of…

Q: 4. Sketch several periods of the following function: f (x) 0,- pi<x<0;1,0<x<pi/2;0,pi/2<x<pi Expand…

A: Given the function is fx=0-π&lt;x&lt;010&lt;x&lt;π20π2&lt;x&lt;π

Q: a)i 1: Find the length of the curve y =/1-x², - 1<x<1 Length= b) [ : Find the volume of the solid…

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Q: Let f(x) = 2(x – 6)²/3 + 4. | (A) Find all critical values and list them below. Note: If there are…

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Q: 2. In each of the following, prove or disprove that B is a basis for P3, the vector space of…

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Q: If Z = eax + by F(ax - by); the value of %3D az is + a ду az

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Q: The regular price of a color TV is $502.11. During a sale, Hill TV is selling the TV for $405.71.…

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