Exam 12: Vector-Valued Functions
Exam 1: Preparation for Calculus125 Questions
Exam 2: Limits and Their Properties85 Questions
Exam 3: Differentiation193 Questions
Exam 4: Applications of Differentiation154 Questions
Exam 5: Integration184 Questions
Exam 6: Differential Equations93 Questions
Exam 7: Applications of Integration119 Questions
Exam 8: Integration Techniques and Improper Integrals130 Questions
Exam 9: Infinite Series181 Questions
Exam 10: Conics, Parametric Equations, and Polar Coordinates114 Questions
Exam 11: Vectors and the Geometry of Space130 Questions
Exam 12: Vector-Valued Functions85 Questions
Exam 13: Functions of Several Variables173 Questions
Exam 14: Multiple Integration143 Questions
Exam 15: Vector Anal142 Questions
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Determine the maximum height of a projectile fired at a height of 5 feet above the ground with an initial velocity of 600 feet per second and at an angle of
above the horizontal. Use the model for projectile motion, assuming there is no air resistance. Round your answer to three decimal places.

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Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below. Surfaces
Parameter



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A particle moves in the yz-plane along the curve represented by the vector-valued function
. Find the maximum value of
.


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Suppose the outer edge of a playground slide is in the shape of a helix of radius 8 meters. The slide has a height of 2 meters and makes one complete revolution from top to bottom. Find a vector-valued function for the helix.
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