Chooes In legendre polynomials Porm the bassis of chebyshev Polynomials Te CX)= ®늦 (4L201 -Locu) + (4 Lz(x) +Lo (x) 3

Q: 2. The curve with polar equation 24 3 cos 0 + 4 sin 0 = is a line. Find the slope and the…

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Q: For which n listed below does there exist a field extension F ɔ Z/2 of degree n such that the…

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Q: If f(x)= x - 4 and g(x)= Vx-2; which of the following is equal to х — 2 Option 1 – 4(SF 2) X - х — 2…

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Q: Find the center of mass for the region bounded by y = 4 – x² that is in the first quadrant

A: Draw the graph of the curve y=4-x2 and identify the region in the first quadrant. The region is…

Q: The points P= (x, x, x) and Q (y,3y.y-1) are lines in R' that do not meet. Choose x, y to %3D…

A: Given that P=x,x,x  and Q=y,3y,y-1 Then    P-Q=x,x,x-y,3y,y-1⇒P-Q=x-y,x-3y,x-y+1 then, we solving…

Q: URopN4YwnAM-fIPV2X9hPeXZqSys?1oBw7QYjlbavbSPXbx-YCjsh_7mMmrq Week 3 Quiz Question 9 of 10 (1 point)|…

A: A logical operator on mathematical statements is a word or combination of words that combines one or…

Q: X f(X)=log(X) 4.0 0.6020599913 1 4.5 0.6532125138 2 5.0 0.6989700043 3 5.5 0.7403626895 4 6.0…

A: We have to find log(5.234) using divided difference.

Q: Problem 4 Consider the differential equation ay"+3ry' – 8y = 0. (a) Verify that the function y1 = x²…

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Q: 月…- 2 Letting vi = 1 and vi = use Graham-Schmidt to find 0. orthonormal vectors (q1, q2}, and show…

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Q: 3. 4. Consider the matrix -2 4. (a) Find the eigenvalues of A. (b) Find two eigenvectors v and w of…

A: According to our guidelines we are supposed to answer only first three subparts.kindly repost other…

Q: Problem 6. Let -oo and oo denote two distimct objects, neither of which is in R. Define an addition…

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Q: p(x, y, z) = 4 – x² – y²

A: Domain of the function is the values of x,y and z for which function is defined.

Q: (a) Find A (b) Find the eigenvalues and eigenvectors of A. (c) Find the limit as n ∞ of A.

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

Q: Prove the necessary and sufficient conditions for a curve to be a straight line isbthat the…

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Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx

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Q: A circle of radius 1 rolls around the circumference of a larger circle of radius 4. The epicycloid…

A: Given, x=5 cos t-cos 5ty=5 sin t-sin 5tTo find: Distance traveled by the point in one complete trip…

Q: 2 pts Let T: R R be the linear operator defined by T(x,y) (8x- 5y,-3x +2y). %3D Then T(2, y) =( y).…

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Q: 1. Let f be a function satisfying the following properties: continuous on R\{1} • f(0) = 0 and f(3)…

A: Given that a function f satisfies some properties   To Give: Equations of the two linear asymptotes…

Q: 1: Evaluate F dS whereF = (r',y", ) and S is the solid bounded by the ry plane and the elliptic…

A: Hint: Gauss divergence theorem If F is a continuous and differentiable vector function in the region…

Q: A committee of 5 delegates is to be chosen from a group of 17 delgates, 10 of whom are women. If at…

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Q: Consider the following function 5z2 – 4z +3 f(2) = (z + 1) (z + 2) (2 + 3)' Find the residue at each…

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Q: Find Newton’s polynomial that interpolates f(x) = x1 at x = 1, x=2,x=4,andx=5.…

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Q: Describe the graph of the equation. r = -9i+¿j + (r² – 1) k O It is a parabola in the x = –9 plane,…

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Q: dy 1. Write down the formula for the general solution to + P(x)y = Q(x) , where y(a) is known. dx

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: . Suppose you want to have $400,000 for retirement in 20 years. Your account earns 5% interest…

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Q: Let A be a square, invertible matrix and let A' be its transpose. Which of the following statements…

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Q: Consider the function x – Y - f (x, y) : x² – y²° (a) Find the domain of f. (b) Does the limit exist…

A: Given function is f(x, y) = x - yx2 - y2

Q: ci When x9, y= 0. ii As the values of x increase, the corresponding values of y decrease. ii The…

A: Increasing function: The function said to be increasing, as the value of the x increasing, the value…

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

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Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function z = x3y2 sin(xy)…

A: Given below clear explanation

Q: Question 6 7 0 0. Consider the matrix A = 0. 0. -5 State a basis for the eigensnace co

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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: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A: To find the fluid force on the vertical side of the tank, where dimensions are given in feet.

Q: Solve the problem. Maximize Q = x²y, where x and y are positive numbers, such that x + y = 540

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Q: QUESTION 1. APPORTIONMENT. Five city police departments are asking the FBI for urgent assistance.…

A: We know for Alexander Hamilton's method of apportionment, standard divisor = Total populationTotal…

Q: Let F be a field of characteristic 3. For a polynomial f e F(X], let f' be the derivative of f.…

A: Given: F is a field of characteristic 3. f' is the derivative of f. To do: Check which of the…

Q: A debt of $6544 is to be settled by two equal payments due in 3 months and 7 months respectively.…

A: Solution: Let the payment due in 1 month be x. Accumulated amount after three month; FV=P1+rnnt…

Q: A metal casting is done with the limits of x-y = 4 and x = y2 - 4y+ 4, which is revolved around the…

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Q: If f(1) and g(1) are arbitrary polynomials of degree at most 2, then the mapping (f,g) = f(-1)g(-1)+…

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Q: 1 2 Consider the matrix A = Find the entry in row 1, column 2 of the matrix A16 • Previous

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Q: If -18(x + 1) – 12(x + 1)² + 6(x + 1)³ if – 1< x < 0 а + bx + сx? + dx3 S(x) = if 0 < x < 1. is a…

A: Let the cubic spline interpolation be Sjx on the interval xj,xj+1, where j=0,1,2,⋯,n-1. Use the…

Q: - Solve the following partial differential equations X) = 30,T(t,0) = 50, T(t,1)

A: The partial differential equation given is as follows: ∂T∂t=α∂2T∂x2 with α=0.5. The PDE will be as…

Q: Question 28 Let W be the subspace of R with basis {(1,-1,1,1), (1, 1,-1,1)}. Find the projection of…

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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: integrals: x sin x cos x dx tan? x cos3 x dx xV4 x2 dx

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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.

Q: Problem 6 Verify that the function y = + sin a satisfies the equation y" + 4y = 4.r + 3 sin a. Find…

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Q: 7. Find the remainder when 4197 is divided by 13.

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Q: 42. Solve the equation y(x) 1 + 2 efo(x=6) y(5) dž, considering separately all exceptional cases.

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Q: In Exercises 23-26, use the shell method to find the volumes solids generated by revolving the…

A: Given the curves as y=x3,     y=8     ,x=0 solving  for the intersection point ⇒x3=8⇒x3-8=x-2x2+2x+4…