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1.) Use at least 4 level curves to help you sketch f (x y) =x^2 - y . Show your level curves AND make a 3-D sketch of the function of several variables.
The graph of the functionΒ is shown below.Β
(a) Assume thatΒ x andΒ y are functions of a single variable r.Β Give the chain rule for finding .
(b) Assume thatΒ xΒ andΒ y are functions of two variables r and . Give the chain rule for finding and .
the set of independent variables of a function is the.......?
is shown below.Β 
.
. Give the chain rule for finding 
and 
.
