Question 5 (1 point) Let 2 = we\

Question 5 (1 point) Let z we Y, with w 2cl/2 and y lnc Expressed as a function of only, which of the following gives dz/dc ? Oe41n-f- 1 + 1 C) -l + 8e41nv/ C) e 4 In x 1 O None of the given options represents dz/dx. O e4x + 4ce4C+ 1 + 1 Question 6 (1 point) Fill in the blank: Let f(x,y,w) = x2 + ya + w4. The determinant of the Hessian matrix for this function, when evaluated at the point xo = (-1,2,1), is equal to Question 7 (1 point) Fill in the blank: Let g(x,y,w) = x2yw. The determinant of the Hessian matrix for this function, when evaluated at the point xo = (-1,2,1), is equal to