Find the Fourier series (ao, an, bn and the fourier series formula)

Q: Problem 3: Use secant method to estimate a root for function f(x)= x³ -0.6x² -3.5x+ 3.5=0, starting…

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Q: 6. Find the Laplace transform of the following functions (c) g(t) = cos 3tH (t-π)

A: Introduction: The Laplace transformation is very significant integral transformation that is used…

Q: Find an equation of the plane through the point and perpendicular to the given vector. (8, 2, 3)…

A: We will find an equation of the plane through the point (8,2,3) and perpendicular to the given…

Q: show that the following function analytic f(z) = 4e²+ Sin Z arp

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Q: The graph G is a planar connected graph. It ha

A: Given, the graph G is a planar connected graph. It has 11 edges, and 7 faces.

Q: Consider the linear transformation T: M₂(R) → M2(R) given by the 2 by 2 matrix (where each…

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Q: Problem 4 Let A B C be a cofibration sequence. For any X, show that the induced sequence [C, X] →…

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Q: 2 18 cm #2* Lateral: A = Your answer #2* Total: A = 9 cm cm² cm²

A: The given diagram is a pyramid.

Q: A linear transformation T is onto if and only if the columns of its standard matrix are linearly…

A: A linear transformation T is onto if and only if the columns of its standard matrix are linearly…

Q: Let F(x, y, z)= -2y71+ 2x j. Use Stokes' Theorem to find 7-d7, where Cis a circle parallel to the…

A: here we have to use normal for Stoke's theorem.

Q: Find the angle between the two vectors A = i +j+ k and B = 2i+j-k

A: By using the formula of angle between two vector, we solve the given problem as in next step.

Q: 582 28s - 26 (s+2) (S-2) (5-2)

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Q: 6. Find the Laplace transform of the following functions (b) g(t) = te*sinh 3t.

A: Introduction:   The Laplace transformation is very significant integral transformation that is used…

Q: Q.4) (a) Scratch the function X ㅠ - X (0 < x < π). Is it a periodic function? If so what is the…

A: The given problem is to Sketch the given function and to find the period of the give function and…

Q: -1.| L 1 Bete + 1 +1

A: As per the question we are given the Laplace transform of f(t) and we have to find its inverse…

Q: The throttle-control lever OA rotates in the range 0 ≤ 0 ≤ 90°. An internal torsional return spring…

A: Please see the attachment

Q: 4. Consider a3(x)y"" + a2(x)y" + a₁(x)y' = 0 (a) What's one trivial solution? (b) Suppose the…

A: Please see the attachment

Q: (a) (i) For the finite arithmetic sequence 5, 8, 11,..., 44. write down the first term a, the…

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Q: 4. Draw the graph of the linear equation: 3x + 4y - 7z = K +8.

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Q: Express and identify the resultant of the two forces and one couple shown acting on the shaft angled…

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Q: 2. A group of 10 students includes three grade 11 students. Five students will be selected to go on…

A: Introduction: The binomial distribution is one of the most important discrete probability…

Q: Identify two-dimensional and three-dimensional shapes and their properties b) 60 write the no of…

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Q: Determine if the graph is Hamiltonian or Eulerian. If the graph is Hamiltonian, find a Hamilton…

A: Number of vertices is 5. For every pair of vertices x and y, deg(x)+deg(y) is greater or equal to 5.…

Q: Solve the ODE y(4) - 4y" + 8y" - 8y + 4y = 0.

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Q: (e) A student writes down the following piece of work, which contains an error in the reasoning. The…

A: From the above details we have,

Q: d'y Given that y = √3x+5, find the value of k such that dx² kdy dx = 0.

A: Here given that y=3x+5  We have to find the value of k such that d2ydx2-kydydx=0 .

Q: Let _X=R². Find M² if M= {(a,1)}.

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Q: (a) (i) For the finite arithmetic sequence 5, 8, 11,..., 44. write down the first term a, the…

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

Q: Q1/ Find maximum,minimum OULE ,and saddle point of the surface Z = x³y³ - 12x + 3y + 12.

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Q: 00 Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the…

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Q: Express (+) in polar form = O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O 13…

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Q: Let a graph have vertices q, r, s, t, u, v and edge set {{q, s}, {r, v}, {s, v}, {t, u}} . On paper,…

A: Given: A graph has vertices q, r, s, t, u, v and edge set q, s, r, v, s, v, t, u. To find: a) Degree…

Q: The linear system Ax=b is consistent whenever the columns of [A | b] are linearly dependent. True

A: Introduction: If and only if b is a linear combination of A's column vectors, a linear system Ax = b…

Q: H 113 mDGF=

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Q: (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial derivative.

A: Let us find the four second partial derivatives of the given function in the next steps.

Q: An office building worth $4 million when it was completed in 2015 is being depreciated linearly over…

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Q: Find the directions in which the function f(x,y) = x²y + e* sin(y) Increase and decrease most…

A: We have to find  the directions in which the function increases and decreases most rapidly at…

Q: Find the Fourier Cosine Series of f(x) = 4x²; 0 < x < 1

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Q: 1. What is the largest n such that Pʼn is a subgraph of K4? 2. What is the largest n such that Cn is…

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Q: If F is a field, then it has no proper ideal. T OF

A: I have given the answer in the next step. Hope you understand that

Q: If Aj is a covariant tensor of the second order and Bi, Ci are contravariant vectors; prove that…

A: Given: Aij is a covariant tensor of 2ndorder To find: Solution

Q: 2 Express (¹+i) in polar form = 3 [cos 67+isin 67]

A: The given expression is 5+i1-i2 simplify the expression…

Q: rimeter of the base, p

A: Consider the standard figure of the trapezoidal prism:

Q: show that a bounded Lineart on a complex Hilbert spase H is normal (i-eTT* = T*T) if and only if 11+…

A: We have to show that T  is normal if and only if ||T* x || = || Tx|| for all x € H. Using this, to…

Q: Questions about Singular Valued Composition (SVD) and vector subspace.   If the value of the…

A: Introduction: The singular value decomposition of a matrix A is the factorization of A into…

Q: Evaluate the following double integral using the composite Simpson's 1/3 rule with one interval in…

A: To find- Evaluate the following double integral using the composite Simpson's 1/3 rule with one…

Q: The sides of a spherical triangle measure 65°, 75°, and 105°. Find the area of the spherical…

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Q: Reversing the order of integration fxsinydydx.

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Q: Every ring without zero divisor it is an integral domain. T OF O *

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Q: Q10. Using Crammer's rule method to solve the following linear system x+y+z=3 2x + 3y + 7z = 0

A: The given system of equation is as follows x+y+z=32x+3y+7z=0x+3y-2z=17 Find Determinant D as follows…