Questions from General Calculus


Q: Show that F is conservative and use this fact to evaluate ∫

Show that F is conservative and use this fact to evaluate ∫C F ∙ dr along the given curve.

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Q: Use a computer to graph the parametric surface. Get a printout

Use a computer to graph the parametric surface. Get a printout and indicate on it which grid curves have u constant and which have v constant.

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Q: Use a computer to graph the parametric surface. Get a printout

Use a computer to graph the parametric surface. Get a printout and indicate on its which grid curves have u constant and which have v constant.

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Q: Match the equations with the graphs labeled I–VI and give

Match the equations with the graphs labeled I–VI and give reasons for your answers. Determine which families of grid curves have u constant and which have v constant.

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Q: Match the equations with the graphs labeled I–VI and give

Match the equations with the graphs labeled I–VI and give reasons for your answers. Determine which families of grid curves have u constant and which have v constant.

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Q: Match the equations with the graphs labeled I–VI and give

Match the equations with the graphs labeled I–VI and give reasons for your answers. Determine which families of grid curves have u constant and which have v constant.

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Q: Match the equations with the graphs labeled I–VI and give

Match the equations with the graphs labeled I–VI and give reasons for your answers. Determine which families of grid curves have u constant and which have v constant.

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Q: Match the equations with the graphs labeled I–VI and give

Match the equations with the graphs labeled I–VI and give reasons for your answers. Determine which families of grid curves have u constant and which have v constant.

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Q: Use one of the formulas in (5) to find the

Use one of the formulas in (5) to find the area under one arch of the cycloid x = t2 sin t, y = 1 - cos t.

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Q: Use Stokes’ Theorem to evaluate ∫∫S curl F  dS.

Use Stokes’ Theorem to evaluate ∫∫S curl F  dS. F (x, y, z) = x2 sin z i + y2 j + xy k, S is the part of the paraboloid z = 1 - x2 - y2 that lies above the xy-plane, oriented upward

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