Q41Comprehension4 Marks28 Apr 2024PassageAnswer the given subquestions about the functions u(x,y) = x*y + 2*e^x and v(x,y) = y^2 + y*e^x.Choose the correct option(s) from the following:Az = 2*y + (3 + 2*e^2)x - 2*e^2 - 6 is the tangent plane to the function u(x,y) at the point (2,3)(2, 3)(2,3).Bx(t) = 2 + (1/sqrt(2))t, y(t) = 3 + (1/sqrt(2))t, z(t) = (6 + 2*e^2) + (1/sqrt(2))(5 + 2*e^2)t is the tangent line of the function u(x,y) at the point (2,3)(2, 3)(2,3) in the direction of (1,1)(1,1)(1,1).Cz = 3*e^2*x + (6 + e^2)y - 6*e^2 - 9 is the tangent plane to the function v(x,y) at the point (2,3)(2, 3)(2,3).Dx(t) = 2 + (1/sqrt(2))t, y(t) = 3 + (1/sqrt(2))t, z(t) = (9 + 3*e^2) + (1/sqrt(2))(3 + 2*e^2)t is the tangent line of the function v(x,y) at the point (2,3)(2, 3)(2,3) in the direction of (1,1)(1,1)(1,1).
