(b) Consider the curve given by 4111, t e [0% (t) 4(1 i) +11, 13 e [i a) v = . 1 + 2(1 4(t 5)), t e [i i) 1_4(t_%)1 telgill (i) Provide a. sketch of the curve, be sure to label all the endpoints 4P. (113.) (remark: this may be a good chance to practice using MATLAB, but you may also sketch by hand as long as it is an adequate size and neat.) (ii) Is the curve closed? (iii) Is the curve simple (or simple closed)? (iv) Is the curve Smooth? (v) Is the curve positively orientated? (vi) Is the curve rectiable'? Justify your answer (0.513.) (0.513.) (0.513.) (0.513.) (113.)