Find the directional derivative of the function at the given point in the direction of the vector v. {image} 50 10.33 29 1 2 3 4 5 6 7 8 9 10 11 12 13.

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Presentation transcript:

Find the directional derivative of the function at the given point in the direction of the vector v. {image} 50 10.33 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the directional derivative of {image} in the direction of {image} Select the correct answer. The choices are rounded to the nearest tenth. -1.5 1.5 -0.8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Let f be a function of two variables that has continuous partial derivatives and consider the points {image} . The directional derivative of f at A in the direction of the vector {image} is 2 and the directional derivative of f at A in the direction of the vector {image} is 3 .Find the directional derivative of f at A in the direction of the vector {image} . 39 {image} 5 1. 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find equation of the tangent plane to the given surface at the specified point. {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Which of the given equations are the parametric equations for the tangent line to the curve of intersection of the paraboloid {image} and the ellipsoid {image} at the point {image} ? 1. {image} 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50