Find the steady state temperature of the quarter circle shown u = f(O) u = 0 u= 0 with r= 1 & f(0) = (2/T – 0)^2.

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Q: 19U - 6)(1 - 15)2 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D)…

A: Given : The characteristic polynomial of a matrix A, is given as C(λ) = λ4(λ-6)(λ-15)2 To find : We…

Q: t |a2 b2 C2 b3 C3| 2b2 az + 2b3|

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Q: Given H = {(1), (1 2) (3 4), (13) (24), (14) (2 3) }. a) Show tha H is a subgroup of A b) Find all…

A: This question related to group theory . Solution is given below.

Q: Prove this: -n is a integer; If 6| n then 18| n^2 +3n

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Q: Which of the following graphs have Euler circults or Euler trals? OA: Has Euler trail. DA: Has Euler…

A: Solution: Given that

Q: Find the interest rate needed for the sinking fund to reach the required amount. Assume that the…

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Q: sin? 0 sin 2x tan´ x 2. limøseco 3. lim 0→0 1 – cos 40 4. lim- x→0 sin 3x 5. lim -

A: Solution

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A: The vectors (1, 0, 1) and (1, -1, 0) are direction or orientation vectors. The cross product of…

Q: 1) (a) Circle ONE of the below equations and convert it from either polar to rectangular or…

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Q: Maximize: F = 39x+17y Subject to: x+2y<8 x+y<6 x+4y<14 x, y 2 0

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Q: The function f.(z) = sin(2z) has one residue %3D 3) Find the absolute value of the residue of f. The…

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Q: 5. Find the area of the given D bounded by y = x³, y = x³ + 1, x = 0 and x = 1. Sketch the graph.…

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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: 5. Find the solution for the following differential equations a) y =1+x+y+ xy. b) x'y'+2y= e*, y(1)…

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Q: 8 Two six-sided dice is rolled. What is the probability that the sum of the two dice is AT LEAST 6?…

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Q: ) Confim by multiplication that x is an eigenvector of A, and find the eigenvalue, b) Detemine the…

A: a) it is given that ;   A = 5-113  and  x = 11.  We have to find the eigen value of A corresponding…

Q: Solve the questions given below using the Fundamental Theorem of Calculus. r9(x) If f(x) = 1 rcos a…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The matrix 8 -24 -68 -5 28 70 2 -12 -30 has two distinct eigenvalues with A, <d2. The smaller…

A: We have to find the eigenvalues of the matrix C. Then we can proceed further.

Q: Solve for the inverse laplace transform of the following functions

A: According to our guidelines we can answer only one question and rest can be reposted.

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: Find the exponential generating function F(x) for the numbers fn of forests on vertex set [n] having…

A: Given below clear explanation

Q: (1) $5.9, Let X, be subspaces of R³ with bases given respectively by Bx = By (a) Show that X and y…

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Q: 2. 2 PCn):芝(-リ 2h %3D j = 1

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Q: Which of the following is an "even" function of t? O sin(t) / t O sin(2t) O 1-t^3 O cos(t) + t

A: Consider the function ft=sintt, gt=sin2t, ht=1-t3, kt=cost+t. Substitute -t for t in the functions…

Q: Find Uncertainty for the equation below a*b3Vc R = vd

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Q: Find the length of arc of the given curve. 5. R= (sin 2t, cos 2t , 2t³/2), 0 sts1.

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

A: We have to find the Taylor series at the given point.

Q: 1. Draw the points whose coordinates in meter (500,2000), (1500,2300), (2000,2700), (2200,2700),…

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Q: Determine the Laplace transform of the periodic function of the graph shown below. Enter final…

A: Given, Graph of the periodic functionf(t)=3 if 0≤t&lt;11 if 1≤t&lt;23  if 2≤t&lt;31  if 3≤t&lt;43…

Q: 2 (ii) using Convolution theorem. (s+2)(s²+9)

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Q: nd a basis for the set of all vectors of the form below, where a, b, c are real numbers. [ a-2b+5c,…

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Q: Problems: 1. What is recurrence relation? 2. Find the roots of x^2-x-13D0. 3. Simplify =1+1/

A: 1) what is recurrence relation ? a recurrence relation is defined as an equation which represents a…

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A: Given,

Q: Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are 11 = 2, 12 = -1, and 13 = -4. If V1 =…

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Q: and uz = Find the closest point to y = in the subspace W spanned by u1 = The closest point is

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Q: Max Z=3 x1+2 X2 s.to -X,+2x2 <4 3x1+2x2 S14 using Graphical Method X1-X2 S 3 X1 , X2 20

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Q: A farmer has 10 acres to plant in corn and peas. He has to plant at least 7 acres. However, he has…

A: Let x = The acres of corn planted      y = The acres of peas planted

Q: Fill in the blanks below for the computation of 7 div 2 using the computational grammar in Example…

A: Given below clear explanation

Q: 2. What is the solution to the initial-value problem - 0 <x< 00 U = c²u Su(x,0) = 0 (u,(x,0) = xe-*²…

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Q: 2. Finite Geometry: Draw one illustration each for the three-line and four-line geometries.

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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: 7. Let S be the set S = a) Show that S spans R3 and find a basis for R3 contained in S. b) What are…

A: Given :  The given set is,   S = 1-20, 012, -568, 1-21  To find : (a) We have to show that  S spans…

Q: Consider the geometric series (x – 7)". For which x-values does the series converge? T İs in I…

A: Given :  The geometric series is given as ;  ∑n=0∞-18nx-7n To find : We have to find the values of x…

Q: Suppose that all car owners fill when their tanks are exactly half full. At the present time, an…

A: Given that (1) The number of customers per hour arrive at a single pump gas station λ=7.5 the time…

Q: Solve the differential equation using Laplace transform method. y"- 4y +9y =t, y(0) = 0, y (0) = 1…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 10 cos(t)i+11…

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Q: What is the contour map of the function using the given values of k? t(x, y) = 1 1 1 %3D x2 + y? k =…

A: contour map for a function t(x, y)=f(x, y) is t(x, y)=k

Q: QI. Solve the following problem with insulated boundaries: U = Uxx Ju,(0, t) = 0 lu(1, t) = 0 u(x,…

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Q: Use limits to determine all the linear asymptotes of 3r2 – 5 2r2 + x if r1. 1² + 2x – 3'

A: Given: f(x)=3x2-52x2+x,if x&lt;1x3x2+2x-3,if x≥1 To determine: All the linear asymptotes.