EXERCISE 1 In this exercise you will need to use some of the trigonometric identities at the bottom of the formula sheet Consider the curve C₁: r(t) = ½½ sin(2t) i + sin²(t) j + et k, 0 ≤t≤ . a) Find a unit tangent vector to 1 at the point corresponding to t = b) (i) Copy the following line integral == (1+ 2022 -22) ds. (ii) Compute the line integral that you copied down in (b)(i). Give the exact answer, NOT an approximate numerical value. The final integral can be computed by hand, but you are allowed to use digital tools. Except for the final integral, all working must be shown. Consider the vector field given by F(x, y, z) = 2x j + c(x² − y(1 − y)) k, - where c is a constant defined by 3πT C= 2(1-e)