a.) Use implicit differentiation to find the slope of the tangent line to the curve
4(x^2) + 2(xy) - 3(y^3) = 169
at the point ( -4,-3 ).

b.) Find the slope of the tangent line to the curve
sqrt(2x +2y) + sqrt(4xy) = 11.7
at the point ( 7,2 )

c.) Find the equation of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) at the point ( 3 , 1 ). The equation of this tangent line can be written in the form y = mx+b where: i) m= ?, 11.) b=?