Green's Theorem relates a line integral to a double integral over some region while Stoke's Theorem relates a line integral to a surface integral. Scientist has developed a tool called planimeter to measure the area of closed regions in the plane. You as scientist has been assigned for a task to measure the area and surface area by using these theorems. a. Force field of a moving particle is F(x,y) = P(x,y)ī + Q(x,y)J. Particle A moves in Pentagon shape and particle B moves in Triangle shape. Identify the P(x, y) and Q(x, y) such that the force field F(x,y) is conservative. Draw the regions bounded by the moving particles with vertices. Calculate the area and the work done for these moving particles. Explain the effect of positive and negative rotations.

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Q: Verify Stokes's Theorem by evaluating F. dr as a line integral and as a double integral. F(x, y, z)…

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Q: Verify Stokes's Theorem by evaluating F.dr as a line integral and as a double integral. F(x, y, z)…

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Q: Verify Stokes's Theorem by evaluating F. dr as a line integral and as a double integral. F(x, y, z)…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density - 9800 N/m³). Setup the…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: Use Stokes' Theorem to set up (do not evaluate) the definite integral equal to the total circulation…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: Verify Stokes's Theorem by evaluating F. dr as a line integral and as a double integral. F(x, y, z)…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: Use Stokes' Theorem to set up (do not evaluate) the definite integral equal to the total circulation…

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