Given that : x + + 20. (a) Find the optimum point. (b) Determine the nature of the optimum point.

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Q: (E) : 22 + 2Xz – 2X + 15 = 0 ation: ndom pumber over 10. 41 What is the probability th:

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Q: Find the solution to the following system of equations: -4 1 1 X1 -200 1 -4 0 -4 1 -4 1 X2 -400 1 1 ...

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Q: Find a particular solution to y" + 7y + 10y = 16te".

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Q: 52. Suppose X, Y, and Z are random variables with joint density function f (r, y, z) = Ce-(0.5+0.2y+...

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Q: Find J Ta-xdx

A: Given integral is ∫x1−x23dx. We have to solve the given integral. Substitute 1−x2=u ⇒−2xdx=du⇒xdx=−1...

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Q: Given F(x)=2f(x)-g(x) and fS-1) = 2, f'(-1) = 3,9(-1) = -5,g'(-1) = 4, find F'(-1). %3D

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A: This is a problem of substitution.

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Q: y), the harmonic conjugate of u. Form the

A: A function u (x, y) is said to be a harmonic function if u _x x + u_ y y = 0.

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Q: a) Show that u and v are orthogonal. b) Find the value of a for which w is orthogonal to v c) Find p...

A: Given, u=1,-2,6,v=2,-5,-2 and w=a,2,-1 We have to find projvu and  projwu.  

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Q: 3. x + 3x + 2x = 0 %3D a. Good guesses: b. # of positive roots: c. # of negative roots: d. # of imag...

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Q: (5) Solve the diffusion equation with dissipation: U - Dugr = bu, -0 <x < ,0 <t <0 with initial cond...

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Q: Exercise 4.63 (Solution on p. 93.) An economy has two industries, farming and building. For every $1...

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Q: Determine the total work, by Green's theorem, done by the force field F(x, y) =, on a particle follo...

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