Determine the curvature of the curve x=y^3 at point (1, 1). a) 10.89 b)11.12 c) 8.98 d) 12.2

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Q: Exercise 8. Show that the sum of the angles of a geodesic triangle on a surface of positive…

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Q: What curves have zero curvature?

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Q: The centroid of an obtuse triangle is outside the triangle. true or false?

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Q: Exercise 9. Show that on a simply connected surface of negative curvature two geodesics emanating…

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Q: Find a parametrization of the circle of radius 5 parallel to the yz-plane with center (-1, 4, 6).

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Q: Exercise 7. Show that the curvature of a circle of radius r is , and the curvature of the line is…

A: Show that the curvature of a circle of radius r is 1r and the curvature of the line is zero.

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Q: Exercise 5. Show that there exists at most one closed geodesic on a cylinder with negative…

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Q: True or false: the curvature of,k, for x^2+y^2=100 is larger than for x^2+y^2=1/4

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Q: Just like in a projective plane, two distinct lines always intersect on the spherical plane.

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Q: Find a parametrization of the circle of radius 7 with center (5, 3, 9) in a plane parallel to the…

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Q: Exercise 2. Show that the total geodesic curvature of a simple closed planar curve is 27.

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Q: 2 Find on eguation for the surfoce of revolution formed by revolving the curve in the indicated…

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Q: What is the definition of curvature?

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Q: Find the curvature and radius of curvature of the curve y=cosmx at a maximum point.

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