For each of the following pairs of functions ff and gg, determine if the level curves of the functions cross at right angles, and find their gradients at the indicated point. a) f(x, y)=5x+5y,

g(x, y)=5x−5y.

Do the level curves of f and g cross at right angles? gradfientf(6,5) = ? gradient(6,5) = ?

b) f(x, y)=x^2−y,

g(x, y)=2y+ln(|x|)

Do the level curves of f and g cross at right angles? gradfientf(6,5) = ? gradient(6,5) = ?

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