-7 FOURIER-LEGENDRE SERIES Showing the details, develop 63x5 - 90x3 + 35x

Q: (Review of Complex Numbers) The three most important facts to know about complex numbers are that ⚫…

A: hello  I have given the solution below please rate positive Explanation:

Q: Let f(x) = x³ and compute the Riemann sum of ƒ over the interval [1,2], using n = 5 subintervals and…

A: The given function is .We need to find the Riemann sum of  over the interval , using  sub intervals…

Q: 1) Solve the differential equations + porta) cy 1++4=1 Part 5) 5/5 €²+1 = yt +26 part c) y du + x =…

A: We have to solve the given differential equation.Note: According to the guidelines we are allowed to…

Q: Find the steady state solution for the following heat equation with Dirichlet boundary conditions…

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Q: Can you please help me out with this question. The problem that I’m asking to solve is if 15a + 12b…

A: No integral solution exists for the equation 15a+12b=7.Explanation:Step 1:To determine if the…

Q: State the fixed point theorem giving the conditions that guarantee the iteration scheme x(n+1) =…

A: We know that the fixed point iterative scheme requires to write the equation  inthe form  such that…

Q: Suppose A = {x, y} and B = {1, 2} Calculate (A x B) Select all that would be included in this power…

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Q: Locate the centroid of the quarter elliptical area shown below y y = x 1/2 I ¦0.6 m - y = x 3/2 ¦…

A: We have to find the centroid of the elliptical area.

Q: . For each linear operator T on V, find the eigenvalues of T and an ordered basis ẞ for V such that…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Consider the initial value problem mx" + cx' + kx = F(t), x(0) = 0, x'(0) = 0 80 modeling the motion…

A: From the given values of m,c,k,F(t), the equation of this model is2x″+8x′+80x=80cos⁡(8t)

Q: A system of two linear equations has no solution. The first equation is −15x + y = 18.   Select…

A: The objective of this question is to find a second equation that, when combined with the first…

Q: 25 Σ (13 – 21)

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Q: Given the following recursively defined set S: Basis: 0 € S and 7 E S Recursive rule: if x = S and y…

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Q: Find the relative extrema of the following functions and determine their nature (maximum, minimum or…

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Q: Questions: 2 part a question I 2 part b Handwritten clearly and cannot stress this enough, not…

A: 2a) Both i) z + i(z - Z) - 2 = 0 and ii) Im(z) = 1/2 represent the real (x) axis, as they satisfy…

Q: Q1 If A 010 1 Par API AYA² KA ナ show That:

A: If , show that .

Q: Use the equation to find. dy dx OF 0x dx OF ay 3ycos(x)=x2+y2

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

Q: 4. Let a, b, and c be elements of a field F. Find the Characteristic polynomial and minimal…

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Q: Determine all restricted values for : (over 0°- 360°) sec x ln (csc x) (Show steps and calculations)…

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Q: 7. The production function of a certain good Q that is produced with inputs q1,q2 and q3…

A: 7) Given function is differentiating partially with respect to , we get for stationary point , Hence…

Q: Paul Stetson is offered credit terms of 3/10 net 40 by his suppliers. Paul, however, usually pays in…

A: I advise Paul Stetson not to take the bank loan and instead prioritize paying his suppliers within…

Q: 5) Let y(x) = ax" be the Taylor expansion about x = 0 of the solution of the ODE IVP y" + xy + (sin…

A: Taylor's series of sin⁡(x) about x=0 issin⁡x=x−x33!+x55!−x66!+⋯

Q: Plz answer  if u answer  correctly other wise dont  I vill  report if not corrected......

A: The objective of the question is to find an orthogonal matrix P and a diagonal matrix D such that D…

Q: 1. Find A and B knowing the following: a) ¿ª²ª)¯¹ = [6 4 b) 4(B) 20 - - 151 15] 0 1 OLLO 4 0 0 1.

A: We have to find  and  for the given matrices.

Q: (1) Define the function f : RR by f(x) at a = 1. 2-x x < 1 x1 Show that f is continuous

A: We want to show that the function  if x&lt;1​ if x≥1​is continuous at a=1.To demonstrate…

Q: Find the transformation matrix that will transform the unit square (shown in green) to the…

A: A graph is given.in that a unit square which indicates in green.and quadrilateral which is indicates…

Q: Find a basis for the null space of matrix A. [10-4 40 A=0 1 0 20 0 0 0 1 3 9. A basis is 9.

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Q: To help find the velocity of particles requires the evaluation of the indefinite integral of the…

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Q: Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the…

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Q: Choose one correct answer from the drop-down multiple choice menus. Consider the following…

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Q: Is the following compound proposition satisfiable? Justify your answer. (p^q) (mvq) ^ ( q→ ¯p)

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Determine the x-intercepts of the polynomial P(x) = (8x3 + 27)(2x²-11x-21) show full solution

A: Please refer below page if u have any doubt please feel free to ask meExplanation:Step 1: Step 2:…

Q: A function is defined impilcitly by the equations. 7y2+6x3 Cos(x4y²) - 4 ln(y+5)= 65+ (x³ +7)³ a.…

A: Given: We have to find an expression for  at the point

Q: 1.20. Show that (a) r sin(ak) k=1 = r sin a r2-2r cos a+1'

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Q: SN( Student number ) = 0194906

A: To plot the given sine-polynomial function over the interval [-1.5, 2.5] and find its roots correct…

Q: 3. Prove that 3 € N, \n € N, [n > k] ⇒ [1000m² + 10 ≤ n³]. Hints: you can divide both sides by n²…

A: Answer 3 Given, a statement: It is required to prove the existence of a natural number  such that…

Q: Find the change of basis matrix from B1 to B2. B₁ = 3 -21 and ẞ2 = 3,-5, 2

A: We have to find the change of basis matrix β1

Q: 16. Find an interval representation for the poset in Figure 6.38 or give a reason why one does not…

A: Not a poset is not an interval order.

Q: 7: Make a change of variable, : - Py, that transforms the following quadratic form into one with no…

A:

Q: Q3. By applying. a suitable operational theorem, determine -1 ड 2 [ 5 in (5-10 ) ], 3 where In (x) =…

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Q: A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is dissolved.…

A: Given that a large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt…

Q: Questions: 1 part d handwritten please not typed

A: If z=z0​ is a zero of order n of f(z), then f(z)=(z−z0​)ng(z), where g(z0​)=0 and g(z) is analytic…

Q: Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the 8…

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Q: -3 1 1 4 1 d. 1 2-3-1 0-2 e. 0 6 02 1 31 2-4-1 16 3 48 1-26 72407 4-4 27227 2 0 ལ-མ༠༩ 2-242 1-1 0 21…

A: LU decomposition : If we have a square matrix A, then an upper triangular matrix U can be obtained…

Q: A state government borrows $2,000,000 at simple annual interest. Some of the money is borrowed at 7…

A: A linear equation is an equation that may be put in the form where are the variables, and are the…

Q: An electronics retailer sells laptops at a steady rate of 7,500 per quarter. It costs the…

A: The demand rate is 7500 laptops per quaterThe manufacturer cost is $350 per laptop.The Retailer…

Q: If m(x) = E[I(x)] is a composite function, then and I'(x) exist. O m'(x) = E[I(x)]I'(x) ○ m' (x) =…

A: Stepwise explanation is given below Explanation:

Q: Determine the number of bit strings of length 8 that begin and end with a 1.

A: We have to determine the number of bit strings of length  that begins and ends with a

Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 4. (a) Find the area of the region under the curve f(x) (b) What the average value of f(x) : =xe-r…

A: Area under the curve is 0.80690 average value of function is 61​(e1​−e41​)Explanation:Step 1:Step…