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Determine the set of points at which the function is continuous. F (x, y) = 1 + x2 + y2/9 – x2 – y2 D = {(x, y)|x2 + y2 } Let g(x, y) = cos (x + 4y). Evaluate g(4, -1). g(4, – 1) = Find the domain of g. -4 le times le 4, -1 le y le 1 -pi/2 le x + 4y le pi/2 -1 le x + 4y le 1 IR2 -1 le x le 1, -1/4 le y le 1/4 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) = 1.47L 0.65 K 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.) P( 120, 35) = so when the manufacturer invests $ million in capital and thousand hours of labor are completed yearly, the monetary value of the production is about $ million.

## Answer

x^2+y62not equal to 9