Find F+dF and Z-int

QUESTION 3 Let g(t) be a differentiable function such that g(2)=3, g(4)=-2, g'(2)= -1, and g'(4)=5. Let F+dF represent the differential (linear) approximation of F(2.05,2.10,4.10), where F(x,y,z)=ex -Z.g(x2-ye? -*Y). Let / be the plane tangent to the implicit surface F(x,y,z)=3 at the point (2,2,4). Let z-int represent the Z- intercept of /7. Choose the TWO correct statements below