How to solve these 3 question?

1.

(1 mark) Let 2 be a function of a: and y and you are given the following information. The measured values of m and y are 3 and 1 and at (:12, y) = (3, 1), 82 (92 = 2 and = 3. 8m (9y If :1: is increased by 0.01 and y is increased by 0.03, use the total differential approximation to estimate the change in z and enter your answer in the box below. (1 mark) Let 2 = m3 4y3 where a: and y are functions of t. When t = 6 you are given that do: dy $2, y1, El and 51. 2 Find E when t = 6 and enter your answer in the box below. dz _ A W (2 marks) Let z = -2 y + 3x where a and y are functions of t such that dx dy and =3 . dt 2 + Int dt When t = e you are given that x = -4 and y = -3 and it can be evaluated that dac dt Hence find when t = e and enter your answer in the box below. at (5) =