(1 point) 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)=3x+5y,g(x,y)=3x-5y.
Do the level curves of f and g cross at right angles? [?/yes/no] gradf(1,3)= gradg(1,3)=
(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? [?/yes/no]
gradf(1,3)=
gradg(1,3)=
1. (1 point) 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)=3x+5y,g(x,y)=3x-5y Do the level curves of f and g cross at right angles? [?/yes/no] Vf(1,3)= Vg(1,3)= (b) f(x,y)=x2-y,8(x,y)=2y+ln(|x|. Do the level curves of f and g cross at right angles? [?/yes/no] Vf(1,3)= Vg(1,3)=
