Find the Fourier series of the function f(x) = (-4, 4, - π < x < 0 0
Q: Solve the system 7 -1 [7] 6 2 dx dt with the initial value -6 -A [[:] x(0) = -15 x(t): || X
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Q: o q Lor -00 10 The function determining the shapes above is f(x) = a√z. The area shown on the first…
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Q: 6. (*) Solve the following equations using the method of characteristics. In each case, if the…
A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy…
Q: [2 1] -31 Let A = 1 1 and b = -9. The QR factorization of 2 1 the matrix A is given by: 1 1 = 3-√2 3…
A: Solution
Q: temperature T of a heated circular plate with the origin being at the center 64 T(x, y): = x² + y² +…
A: The given problem is to find the rate of change in temperature T from given point within given…
Q: Xk Ук Find the least-square line y = a + ax for the data. -4 -1 0 2 3 0 2 -1 3 -2
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Q: = AY with A = ').L dt 26 20 corresponding straight-line solutions Y₁ (t) = (21(1))) and (t). nsider…
A: Introduction: In linear algebra, eigenvalues are related to eigenvectors. In the analysis of linear…
Q: find the general solution for the equation Y() = -[Y(+)]³² +Y()
A: Use the following formulae, to obtain the solution. ∫dxx-a=lnx-a+Clnxy=lnx-lnyelnx=x Where a and C…
Q: 12: Apply Newton's method with line search for f(x) = x₁-x2 + 2x² + 2x₁x₂ + x2 with a starting point…
A: We have f(X) = x1-x2+2x12+2x1x2+x22
Q: Let (N,*) where a, b, c E N; a * b = lcm[a, b] a) It is a law of internal composition in N? b) It is…
A: Given : ℕ, * be the algebraic structure such that a*b = lcm[a, b], where a, b ∈ℕ. To check :…
Q: a b c 1. If det d -2a e f=3, evaluate det 5b c+4b ghi -2d -2g Se 5h f+4e i+4h
A: given abcdefghi=3 -2a-2d-2g5b5e5hc+4bf+4ei+4h=?
Q: Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear.
A: If there points A,B,C are co linear then we can have |AB|+|AC|=|BC| . (A,B,C may have interchanged…
Q: Taylor Series Approximation Formula f" f"" (a) ² f(x) = f(a) + f'(a)(x − a) + ¹¹¹(a) (x − a)² +…
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Q: Which of the following sets of polynomials form a basis for P₂? (i) P₁ = 1 + 4x + 6x², P2 3+x = (ii)…
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Q: Let 21 = 8(cos(190°) + i sin (190°)) and Z2 = 17(cos(14°) + i sin(14°)). Compute each of the…
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Q: 4: Which of the following functions has gradient vector [4x₁x₂2 2x² 3x3]¹? A: f(x) = 2x³ + 2x³ +…
A: To find: Which of the given functions has the gradient ∇f=4x1x2 , 2x12, 3x32T.
Q: Not to Scale b Co! = In the diagram OAB is a triangle with vector OA=a and OB=b such that|a|=5, |…
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Q: Find the quotient and remainder on dividing 6x² + 8x +3 by 3x + 1. The quotient is
A: Like two numbers, division can be performed between two polynomials also. In division of two…
Q: x = 1, y = 5 X₁-2, ₁-3, Given x. -4, y. -1 (a) Use the Lagrange interpolation method find quadratic…
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Q: x¹ + x² + 1 I(x² + 1)² -dx.
A: The given integral is: ∫x4+x2+1xx2+12dx Evaluate the given integral.
Q: How many second are there in a year
A: Solution: We know that, number of days in a year = 365 Number of hours in a day = 24 1 hour = 60…
Q: a) Write the standard form of the quadratic function whose graph is a parabola with the given vertex…
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Q: Provide an example of a topological space that is connected but not path-connected,why?
A: We use definition of connected and path connected sets. We use contradiction method.
Q: Simplify the rational expression by using long division or synthetic d x4 +9x³3x² 18x + 2 x²-2 | x²…
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Q: Describe the set {TER²: doo (r,(0,0)) = 1}.
A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.
Q: Find the determinant of by cofactor expansion. 5 0 7 0 1 -7 - 4 0 0 6 -8 0 0 0 3 0 0 - 20 -54 0 1 0…
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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). please solve in steps…
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Q: Find the general solution of this ODE: d²y dt² dy + 2 + 17y=11e-3t dt The solution will be of the…
A: The given differential equation is: d2ydt2+2dydt+17y=11e-3t Find the general solution of the…
Q: Prove that G = {a+b√2: a, b € Q and a and b are not both zero} is a subgroup of R* under the group…
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Q: The number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic function…
A: Given that the number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic…
Q: 9. Find inverse Laplace: | es S
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Q: Find the indicated vector. Let u-[] [] u= V= Find 7 v - 6 u.
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Q: By using the unlimited coefficients method, choose the correct answer for this equation…
A: We have to find the correct option.
Q: Evaluate the z transform of x(n)= a(n) u(n)
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Q: why is the topologist's comb connected but not path-connected?
A: Introduction: Every path-connected space is connected locally. If and only if it is connected, a…
Q: Let f : [0, 1] → [0, 1] be continuous. Show that there exists an element x = [0, 1] such that f(x) =…
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Q: 1. Some graphing calculator only accepts common logarithms, then the equivalent equation a student…
A: We are authorized to answer one question at a time since you have not mentioned which question you…
Q: 7. In the process of computing the inverse Laplace transform of the function F(s) = -23 - arctan ¹…
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Q: Find the complete integrals of the equation (p² + q²)y=qz
A: We know that , First order non linear partial differential equation has the form , fx , y , z , p ,…
Q: -| Every lebesgue integrable fun crion ☆riemann innegrable. ?? Frue False Select one? 0 on [a, b] is
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Q: 2. Let P(x)= (2x³ (8x4) — (5x²)6 + √x16). find the following: - 10 2x(-5-m) a. Simplify P(x).…
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Q: (*) Find the Fourier cosine series of f(x) = sin(4x) on [0, π]. Could you guess what the Fourier…
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Q: Let f: X→Y be a surjective function. Define a relation on X by setting ay iff f(x) = f(y). Let E be…
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Q: Find the differential equation such that y(x) = c₁(x-4)³ + c₂! 64x² d²y + +60x+y=0 dx² dx 64(x-4)²…
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Q: Find arc length: r(t) = 3 cos ti + 3 sin tj + 5tzk
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Q: 24 Across: The ___________ of a BVP quite often are proportional to the natural frequencies of the…
A: The ___________ of a BVP quite often are proportional to the natural frequencies of the problem.
Q: 2. Solve 2x² x² d² - 2 dx 2 X dy dx - (x + 1)y = 0, by the method of power series.
A: Since you have posted a multiple question according to guildlines I will solve first(Q2) question…
Q: Q4. Find dz/dt where z = 2xy - x² y² and x = 2t, y = t²
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Q: Solve using Power Series Centred Around Zero. (X²+1) y" - 4XỲ +6y=(X² +15²³
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Q: Q6. Find the volume of parallelopiped formed by the vectors , and .
A: To find the volume of the parallelepiped formed by given vectors.
2. Fourier Series
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