For the given function y(x) = - cos x² - In (1-x²) x" a) Find the Maclaurin series up to x inclusive using the Macla functions.

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Q: The velocity of a falling rain is illustrated in Figure 1. Determine how far the raindrop travel,…

A: t 0 0.5 1 2.5 4.5 vt 0 4.51 7.34 9.33 9.43

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Q: 3. Explain why whenever A is Ax = 0 always has linear transformation, solution

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Q: Problem 2. Let C([0, 1]) be the set of real continuous functions on [0, 1], induced with the norm…

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Q: Let Show f is defined for all x > 0. Is f continuous on (0,∞)? How aboutdifferentiable?

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Q: 3.) Prove that the left singular vectors of A one the night singular vectors of A".

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Q: 0 -2 € M3(R) is f(x) = -(x - 1)²(x - 5). 0 IV. The characteristic polynomial of A = 0 3 0-2 3 1.…

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Q: 33. f(g(t)) = tai D: Not valid for any t, 8(f(t)) = 0<::a:{- = ,(4)-

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Q: Let p be a prime, F = Zp(t) (the field of quotients of the ring Zp[x])and f(x) = xp - t. Prove that…

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Q: If A+ iB is Hermitian (A and Bare real) show that [ AB -BA] is symmetric.

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Q: When people talk about "dynamic programming," what do they mean, and how does it really work?

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Q: Prove the function is convex function T f(x, y) = log (ex+ey) where x, y € RT E

A: fx,y=logex+ey

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Q: The area enclosed between the curves y2 = 4x and x² = 4y is 32 16 3 3 (b) 8 (c) (GATE-09 (d) 16

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Q: Solve the equation Ax = b by using the LU factorization given for Also solve Ax = b by ordinary row…

A: Ax=bA=2-5-3-22242-3=100-1102-412-5-30-3-100-1b=-1-631Ly=bUx=y

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Q: (a) Find the eigenvalues of the matrix of projection onto the plane x+2y+3z = 0 in R³. (b) Find the…

A: Note : As per our Guidelines we can solve first part as your part is not small. please repost…

Q: Thus, we must solve the system of equations ng 3x - 2y - 5z = 17 3x²y²z² = 31 Where A is the unknown…

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Q: Solve the following system by the method of reduction. -8z = 32 2x-3y-3z= 31 2x+2y-3z= 1 4x+2y + 2z…

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