Exam 13: Vector-Valued Functions

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Show that the curve Show that the curve   lies on the elliptical paraboloid   . Show all your work. lies on the elliptical paraboloid Show that the curve   lies on the elliptical paraboloid   . Show all your work. . Show all your work.

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Which of the following is a parametric representation of the given surface? Which of the following is a parametric representation of the given surface?

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A projectile is fired with initial speed A projectile is fired with initial speed   feet per second from a height of h feet at an angle of   above the horizontal. Assuming that the only force acting on the object is gravity, find the speed at impact. Round to the nearest tenth of a foot.  feet per second from a height of h feet at an angle of A projectile is fired with initial speed   feet per second from a height of h feet at an angle of   above the horizontal. Assuming that the only force acting on the object is gravity, find the speed at impact. Round to the nearest tenth of a foot.  above the horizontal. Assuming that the only force acting on the object is gravity, find the speed at impact. Round to the nearest tenth of a foot. A projectile is fired with initial speed   feet per second from a height of h feet at an angle of   above the horizontal. Assuming that the only force acting on the object is gravity, find the speed at impact. Round to the nearest tenth of a foot.

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