Problem 2. (Fundamental Theorem of Line Integrals) Suppose that the curve c connects the point (0, 1) to (5,2). Compute the work along c of [(2x (2x + y cos x)dx + (3y² + sin x)dy

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A: Given,

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A: We use the concept of linear equations to solve the given problem.

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A: (a)

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Q: 12T 4. Evaluate in Cylindrical Coordinates D bounded by z= x² + y² and the plane z = 4 ff zdxdydz

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Q: If f is continuous and f(x) dx = 12, find So f(2x) dx.

A: Given that To find

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Q: 27. Maximize z = 5x + 8y subject to x ≥ 0, 2x + y ≤ 8, and x - 3y = -3. of flare

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A: The position of a particle moving along a coordinate line is s=52+4t, with s in meters and t in…

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A: The given function is

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A: We have to use the concept of derivatives

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A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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Q: Stoite the Fundamental Theorem of Calculus?

A: we need to write down the fundamental theorem of calculus.

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