Determine the set of points at which the function is continuous. 1 + x + y...

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Determine the set of points at which the function is continuous. 1 + x² + y² 9-x² - y2 F(x, y) V D = {(x, y) | x² + y² ? [✔] } Let g(x, y) = cos(x + 4y). (a) Evaluate g(4, -1). g(4, -1) = (b) Find the domain of g. -4 ≤ x ≤ 4, -1 ≤ y ≤ 1 - 1/2 ≤ x + 4y ≤ 7/2012 -1 ≤x + 4y ≤ 1 O -1 ≤ x ≤ 1, 4 sys. (c) Find the range of g. (Enter your answer using interval notation.) A manufacturer has modeled its yearly production function P (the monetary value of its entire production in millions of dollars) as a Cobb-Douglas function P(L, K) = 1.47L0.65 0.35 where L is the number of labor hours (in thousands) and K is the invested capital (in millions of dollars). Find P(120, 35) and interpret it. (Round your answers to one decimal place.) thousand hours of labor are completed yearly, the monetary P(120, 35) = , so when the manufacturer invests $ million in capital and value of the production is about $ million. Determine the set of points at which the function is continuous. 1 + x² + y² 9-x² - y2 F(x, y) V D = {(x, y) | x² + y² ? [✔] } Let g(x, y) = cos(x + 4y). (a) Evaluate g(4, -1). g(4, -1) = (b) Find the domain of g. -4 ≤ x ≤ 4, -1 ≤ y ≤ 1 - 1/2 ≤ x + 4y ≤ 7/2012 -1 ≤x + 4y ≤ 1 O -1 ≤ x ≤ 1, 4 sys. (c) Find the range of g. (Enter your answer using interval notation.) A manufacturer has modeled its yearly production function P (the monetary value of its entire production in millions of dollars) as a Cobb-Douglas function P(L, K) = 1.47L0.65 0.35 where L is the number of labor hours (in thousands) and K is the invested capital (in millions of dollars). Find P(120, 35) and interpret it. (Round your answers to one decimal place.) thousand hours of labor are completed yearly, the monetary P(120, 35) = , so when the manufacturer invests $ million in capital and value of the production is about $ million.