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12.2 Differentiation and Integration of Vector-Values Functions Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the vectors r(t) and r’(t) for the following vector function. a. b. c. d. e. ____ 2. Find r’(t) given the following vector function. a. b. c. d..
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11.7 Cylindrical and Spherical Coordinates Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Convert the following point from cylindrical coordinates to rectangular coordinates. a. b. c. d. e. ____ 2. Convert the following point from rectangular coordinates to cylindrical coordinates. Give any angles.
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10.2 Plane Curves and Parametric Equations Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Write the corresponding rectangular equation for the curve represented by the parametric equation by eliminating the parameter. a. b. c. d. e. ____ 2. Sketch the curve represented by the parametric.
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____ 6. Determine whether u and v are orthogonal, parallel and pointing in the same direction, parallel and pointing in opposite directions, or neither. a. Orthogonal b. Parallel, opposite direction c. Parallel, same direction d. Neither parallel nor orthogonal ____ 7. Determine whether u and v are orthogonal, parallel or neither. a. Parallel, same direction b. Orthogonal c..
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Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the domain of the vector-valued function given below. a. [-?, 4) b. [0, 4] c. [-4, 4] d. (-?, ?) e. [-4, ?) ____ 2. Find the domain of the vector-valued function given below. where a. (-?, ?) b. [-1, 1] c. [-4,.
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Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find vectors u and v whose initial and terminal points are given. Determine whether u and v are equivalent. a. , which are equivalent b. which are not equivalent c. , which are equivalent d. , which.
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12.3 Velocity and Acceleration Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. The position vector describes the path of an object moving in the xy-plane. Sketch a graph of the path and sketch the velocity and acceleration vectors at the point (2,.
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____ 6. Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter. a. b. c. d. e. none of the above ____ 7. Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter. a. b. c. d..
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____ 6. Identify the following quadric surface. a. elliptic paraboloid b. elliptic cone c. hyperboloid of two sheets d. hyperboloid of one sheet e. ellipsoid ____ 7. Identify the following quadric surface. a. hyperboloid of one sheet b. elliptic cone c. elliptic paraboloid d. hyperboloid of two sheets e. hyperbolic paraboloid ____ 8. Identify the following quadric surface. a. Elliptic cone b. Hyperboloid of.
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