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QUESTION 1 Let f(x, y) = 2xy + 2. Find and sketch the level curves f(x, y) = 0, f(x, y) = 2, f(x,y)

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QUESTION 1 Let f(x, y) = 2xy + 2. Find and sketch the level curves f(x, y) = 0, f(x, y) = 2, f(x,y) = 4, and f(x, y) = 6. You may draw all of them in the same plane. QUESTION 2 Let f(x,y) = 16 x 4y. - (a). Find and sketch the domain of this function. (b). Find and sketch the level curves f(x, y) = 0, f(x, y) = 2, and f(x,y) = 4. You may draw all of them in the same plane. (c). Find the range of this function. Let f(x,y): 4y = QUESTION 3 (a). Find the domain of f. (b). Find and sketch the level curves of f(x, y) = 1, f(x,y) = 0, and f(x, y) = 1. You may draw all of them in the same plane. QUESTION 4 Let f(x,y): y-1 = x+1 (a). Find the domain of this function. (b). Find and sketch the level curves f(x, y) = 1, f(x,y) : = 2. You may draw all of them in the same plane. f(x, y) QUESTION 5 = 0, f(x, y) = = 1, and Let f(x,y) = ln(x + y). -- (a). Find the domain of this function. (b). Find and sketch the level curves f(x, y) = 2, f(x, y) = 0, and f(x, y) = 2. You may draw all of them in the same plane.

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