Question

1. Find the derivative of the function y (x) , showing all steps used 2. Find the derivative of the function y(x)In x), showing all steps used. 3. Show that sin(x) 1- (sin(x) cot (x))2, showing all steps 4. Evaluate the following integral:珓 1-cos' (x) cos(x) dx, showing all steps. 5. If the rate at which a car's position is changing is given by the formula0.3t2 - 2.0t +100, where x is in meters and t is in seconds, find the distance the car has traveled in 5.0 seconds. dt

Answer 1

2 ㄥ n-1 2기 LT 'ん r)、台 di χナχ

χ+1 2 - toX In dt In teasa tina on both sides 一2.at t loo) n+y 20100 2 11

3 - t loob E 12.5 25 t Soo SOD