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Let F(x,y) = x^2 +3xy+4y^2 −14. Solve the equation x^2 +3xy+4y^2 −14 = 0 by the...

Let F(x,y) = x^2 +3xy+4y^2 −14. Solve the equation x^2 +3xy+4y^2 −14 = 0
by the quadratic formula for x in terms of y. Determine dx/dy when y = 1.
Find the function y = f(x) for which F(x,f(x)) = 0 and f(2) = 1. Determine f′(2). How is f′(2) related to the value of dx/dy that you found above.

Math   Calculus   
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