For each of the following pairs of functions f and g, 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+3y, g(x, y) = 5x-3y. Do the level curves of ƒ and g cross at right angles? yes Vf(5,6)= Vg(5,6) = (b) f(x,y) -y g(x, y) 2y+ In(2). = Do the level curves of f and g cross at right angles? no Vf(5,6)= Vg(5, 6)=

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