Which among the options in column A is equivalent to 1. 2i = ? 2. xi = ? 3. ii = ?

Q: S n +1] (d) In(6n) { n=2

A: According to guidelines we solve one question.thanku

Q: Make sure the vector 7 = (8,3, 1) iş a linear combination of vf = (-5, 2, 1) , v = (-1, 4, 2) and vg…

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Q: Problem 2 Consider the following set of data points: (-1,2), (0, 1) (1, 3), (2, 4). 1. Find the line…

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Q: 3. The Laplace transform L {t(t-2)(t+2)} is : (a) (1/s) ( 1/s² - 2/s) ( 1/s² + 2/s) (b) (( 3!/s*) –…

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Q: -4 If B = and []B then a 3 4

A: B = {(1, 3)t, (0, 1)t} Co-ordinate representation of x with respect to B is         [x]B = (-4, 4)t

Q: 7 the n ya In Cx? _y?) Do not Equatio InCx-yリ Do not check modificd Laplace

A: This is a problem of partial and Laplace.

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A: We have to show that x is irrational if 3x2-25 is irrational. We have to prove the statement by…

Q: 4. The inverse Laplace transform L-1{s/(s²+8s +20)}

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Q: Question On the graph of the function f(x), shown below in blue, choose whether there are zero, one,…

A: We will use definition of horizontal asymptotes

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A: Given,Concrete curb with different dimensions. To find: Surface area and volume of concrete curb

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Q: Prove that the set V of all real valued continuous (differentiable or integrable) functions defined…

A: Given :  V is the set of all  real valued continuous functions defined on  [a, b] with vector…

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A: Mass of solid of region D with density function δx,y,z M=∫∫∫Dδx,y,zdV To find z co ordinate we need…

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Solve the differential equation using Laplace transform method. Enter final answer on the text box…

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Q: VI. LEARNING ACTIVITIES: Seatwork #1: Solve the following problems and box your final answers.…

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Q: 2. Find the roots of the give complex numbers and draw the roots (as vectors) in the plane; find…

A: According to guidelines ,we can answer only 3 subparts.

Q: Question 1: A firm sells a good with an average cost 10 AC = Q+ ab + a) If the demand function is…

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Q: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round…

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Q: 2. Find the solutions u(0.1) and u(0.2), of the initial value problem u' = x(1-2u ku(0) = 1 %3D…

A: Given: Initial value problem - u'=x1-2u2;   u0=1 To find the solutions u0.1 and u0.2 using the first…

Q: ii, Find the area under the graph y=5x4 between the limits x= 1 and x-3.

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Q: 6. Compute the projections of [1, – 1,0, 1] on the vector [0, 1,0, 2]. |

A: Let v = [1, -1, 0, 1] and u = [0, 1, 0, 2]

Q: Determine if the series converges or diverges without using the different tests discussed in Lesson…

A: We will use sum and condition for sum of infinite GP ( geometric progression ) a+ar…

Q: C. VARIATION OF PARAMETERS 2. (D² – 3D + 2)y 1 1+e-x

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Q: IV. Let M(r, y) =r+y-3 and N(r, y) = 1+3y-7. 1. Find a, 8 € R such that if u =1- a and v = y - 3,…

A: Homogeneous differential equation

Q: valuale (li) dt

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Q: Let f(r) be a measurable function. Is the function g(x) = f(x) + c also measurable for any constant…

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Q: Show if the shown group is cyclic or not. If cyclic, provide its generator/s for H H = ({a +bv2 : a,…

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Q: Indepen-dent Variable Depen-dent Variable Equation Order Degree dy ²+2 = 0 d²y dy + dx e* dx2

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Q: PROBLEM B dx + 9x = 12 WHERE : x(0) = 1 dt

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Q: Let 2 (-1)** 'ak be a convergent alternating series with terms that are nonincreasing in magnitude.…

A: We have to find the upper bound for  error.

Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8 %3D T(8) = N(8) =

A: Given that r(t)=(t2-8)i+tjTo find T(t) and N(t) at the point where t=8

Q: (1) Determine whether or not the function u(t) = sin(2t) + cos(2t) is a solution to the differential…

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Q: Use standard matrices of T and S to find the standard matrix of SoT, if possible S:R² → R², S(x,y) =…

A: We have a given that ,  S : ℝ2 → ℝ2  ,  Sx , y = 2x+y , x - 3y T : ℝ2 → ℝ2  ,  Tx , y = x - y , x +…

Q: Express the field D = (x2 + y)-(xax + yay) in cylindrical components

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Q: 1.(a) Do there exist integers a, b, c such that gcd(a, b) = 30, gcd(b, c) = 24, gcd(a, c) = 54?…

A: (a) gcd(a, b) = 30       gcd(b, c) = 24       gcd(a, c) = 54      => 30 | a, 54 | a           24…

Q: All prime numbers greater than two are odd. 3 is a prime number greater than two. Therefore, 3 is an…

A: Let us define some predicate variables.  Prime(x) = x is prime Gtwo(x) = x is greater than two…

Q: 4. Expand the following functions into Taylor series at the point indicated and find their radius of…

A: Given, Different functions ,f(z) To expand the given functions into the Taylor series and then find…

Q: for fa(a, y), let flg(2)) = (2² + y*)! %3D fa (2)%3D (2r)D %3D 2V + y2 3z (0) (i) (ii) 33z+y for…

A: We have to calculate the partial derivatives.

Q: Three equations are given below.           x   -    3y    +     2z    = -12           x    +    y…

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Q: Use the Jacobi method to find approximate solutions to xi + 6x2 – 8x3 = -6.6 10a - 3r2+ 6x3 = 8.6 *1…

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Q: Check the answers by substituting the solution back in the equations. 3. Solve the following set of…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 6. For each of the following series determine if the series converges or diverges using the…

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Q: (-1)"-2 (e) Alternating Series Test: 3" + 3n n=0

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Q: QUESTION 11 Given H {(1), (1 2) (3 4), (13)(24), (1 4) (2 3)}. %3D a) Show tha H is a subgroup of A…

A: Here given H=1, 1234, 1324, 1423 is a subset of A4. Where A4 is even permutation group defined as…

Q: x = V2. t? 1. Let C be the curve with parametric equations 3/2 where t e [0, +). 8 t + 3 1 Y = V2 8…

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Q: Use mathematical induction to prove that 4 divides 5" – 1 for all n E N. -

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: We have given a sequence ,  xn = 31 + 19 arctann17n If we say that sequence xn is convergent , it…

Q: Consider the following 3 x 3 matrix A and b in R, 1 -4 8 | A = 2 -3 2 1 5 -8 1

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