Please answer it all. Thank you.

d For the following exercises, given 3; : f(u) and u : g (3:) , find dZ by using Leibniz's notation for (if! dig {1'11 H the chain rule: E : E E' 216. y: sinu,'u : 5.13 7 1 For each of the following exercises, a. decompose each function in the form 1 : u) and u : g (33) , and . d- . b. find g as a function of :13. 220. y : (3:1: :2)6 d i for each function. (fa: For the following exercises, fin '3: X7 cost-Ex 32W 2 256. [T] The formula for the area of a circle is A : TI'T , where 'r' is the radius of the circle. Suppose a circle is expanding, meaning that both the area A and the radius r\" (in inches) are expanding. 101] (L4 05A 2 where t is time in seconds. Use the chain rule : - ' to (t l 7) d! d." all find the rate at which the area is expanding. b. Use a. to find the rate at which the area is expanding at t : 4 s. dy For the following exercises, find E for the given function. a. Suppose r : 2 280. y : cos '(x/E) { 282. y : Vcsc 1:1: -1 2333': 'X'CSC x