5. Let F = (-y, x), and let C be the line segment from (0, 2) to (1,5). (a) Parametrize the line segment into the form r(t) = (x(t), y(t)). Specify the range of t values. (b) Evaluate the line integral So F.dr.

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A: Please find attachment

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Q: Use the simplex method to solve the problem:  Maximize: P = 3x1 + 2x2  subject to: 5x1 + 2x2 ≤ 20…

A: We Use the simplex method to solve the problem:  Maximize: P = 3x1 + 2x2  subject to: 5x1 + 2x2 ≤ 20…

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Q: 1. The function f is defined by f(x) = = log x X (a) What is the domain of f? (b) Sketch y = f(x),…

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Q: Solve the initial value problem below using the method of Laplace transforms. y" - y = 5t-10e¯t,…

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Q: Evaluate dxdy √√3x + 4y over the rectangle [0,3] × [0,4].

A: We find required integral by using Fubinis method.

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Q: Find a basis {p(x), q(x)} for the vector space {ƒ(x) = P₂(x) | ƒ'(8) = ƒ(1)} where P₂(x) is the…

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Q: Consider f(x) = x2 -8x + 12   and g(x) = -x2 + 8x - 12.  a) Without graphing, can you explain how…

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Q: 5. (a) Find all singular points of (x³ + x² - 5x³x² + 8x - 4)y" + (5x + 10)y' + (10x − 10)y=0 -…

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Q: 3. (a) Solve the differential equation y" - 9y' + 20y = 0, using the auxiliary poly- nomial (b) Use…

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