Question: A utility function is given by U = 2x 2 + y 2 . (a) State the equation of the indifference curve which passes through

A utility function is given by U = 2x2 + y2.
(a) State the equation of the indifference curve which passes through (4, 2). 

(b) Calculate the marginal utilities at (4, 2) and hence work out the gradient of the curve at this point.

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