Compute, by hand, the Fourier series representation for the following function defined on x € [-3, 3]: -3

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A: Given: limn→∞an=2 ,limn→∞bn=4 . To Prove: limn→∞anbn=8.

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A: Particle P move along y-axis, and its position vector is given by, y(t)=4t2-5t+7. Particle Q move…

Q: If 1+i 1-i m = 1, then find the least positive integral value of m.

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Q: Prove that for all positive integers n, 2 + 6 + 10 + ....+ (4n − 2) = 2n² -

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Q: a) Find all values of a so that polynomials f = 4t-a and g = 5t-6 are linearly dependent in P₁.…

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

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Q: Find a general solution to the system. 122 -6-9e-t x' (t) = 2 1 2 x(t) +-6-10e-t 221 -3-11e-t

A: Given : system of non-homogeneous differential equations    x't=122212221xt+-6-9e-t-6-10e-t-3-11e-t…

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Q: When Is Simpson's Rule Exact? (a) Show that if f is a polynomial of degree 3 or lower, then…

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Q: Minimize C = -2x-y-3z subject to x + z ≤ 30+ y x+y≤ 10+Z

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Q: Let f(x, y) = x²-2 y.(y+4)

A: We can compute the determinant.

Q: 8. The monthly income of 8 families is given below. Find GM. Family A Income (x100) 70 B 10 с 500 D…

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Q: please type in your hand clearly thank you.

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Q: The set of basis vectors {V₁, V₂, V3} are augmented to form Matrix A. Which of the following is…

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Q: 2 ಸ್ಥಿತಿ

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Q: Why does the dy bound change from 0 to 2 to 0 to 6 halfway through the last page?

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Q: (i) Show that |(0, 1)| = |R|, where (0, 1) = {x ≤ R : 0 0}. You don't need to prove that the…

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Q: #4 y=sin(0.5√√x)/x at x = 1

A: dfdx=fx-fx-hhd2fdx2=fx-2fx-h+fx-2hh2 y=fx=sin0.5xxx=1h=0.25∴dfdx=fx-fx-hh          =f1-f1-0.250.25…

Q: If 1+ 1-i m = 1, then find the least positive integral value of m.

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Q: Problem 1 Let T be the set of all triangles in the plane, and let R be the relation on T defined by…

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Q: 10. Find median of the following data Wages (in Rs) Number of workers 60-70 50-60 7 21 40-50 11…

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A: We can check whether the given statement is true or false.

Q: 12. a. Evaluate (x²+2z)dxdydz where I is the region bounded by the planes z=0 and y + z = 4 and the…

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Q: In(5x+4)-Inx=In6

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Q: Which vertices are leaves? e C g q r Z W

A: A vertex of a tree is called a leaf if it has no children

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Q: Let's try to the Gram-Schmidt process of orthogonalization with the matrix  0.223     0.668…

A: The given matrix, 0.2230.6680.710-0.1250.7410.6600.795-0.2340.560 Using the Gram-Schmidt process of…

Q: Evaluate the given integral over the solid ellipsoid n uvw-space.) SSS 7 xyz/dxdydz D -≤9. (Hint:…

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Q: Consider the following system. dx dt dy dt Find the eigenvalues of the coefficient matrix A(t).…

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Q: The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can…

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Q: Problem 9 For the following equivalence relation describe the corresponding partition without any…

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Q: Let R be a relation on the set of binary strings B = {0, 1}¹ U {0, 1}² such that aRb if and only if…

A: Given set of Binary string is as follows: B=0, 11∪0, 12 The above set can be written as follows:…