Find the linearization L(x, y) of the function at the given point

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Presentation transcript:

Find the linearization L(x, y) of the function at the given point Find the linearization L(x, y) of the function at the given point. {image} Select the correct answer (rounded to the nearest hundredth): L(x, y) = -0.09 + 0.59x + 0.68y L(x, y) = -1.09 + 0.59x + 0.68y L(x, y) = -0.09 + 0.06x + 0.18y L(x, y) = -0.09 + 0.59x + 0.18y L(x, y) = -0.09 + 0.06x + 0.68y L(x, y) = -1.09 + 0.59x + 0.18y L(x, y) = -1.09 + 0.06x + 0.68y L(x, y) = -1.09 + 0.06x + 0.18y 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

If {image} and (x, y) changes from (3, 3) to (2.9, 3.01), find {image} 1. {image} 2. 3. 4. 5. 6. 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

Use differentials to estimate the amount of metal in a closed cylindrical can that is 11 cm high and 7 cm in diameter if the metal in the top and bottom is 0.1 cm thick and the metal in the sides is 0.01 cm thick. Select the correct answer (rounded to the nearest hundredth): 1. {image} 2. 3. 4. 5. 6. 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