Homework: Section 14.1 HW Score Homework war r m 5 0 Points: , i _ _ j Consider the curve described by the following vector function Question list 16 r _. -, -. ' r(')= (400 cost)i+[40e 5int)j+(44e )k,fort20 , L A 1' a. What is the initial point of the path corresponding to r(0)? . r b. What is lim r(t)? 0 Question 8 H00 7 r where r2 =x2 +y2' c. Eliminate the parameter t to show that the curve r(t) lies on the surface 2= 4 10 , 0 Question 9 a. The initial point of the path corresponding to r(0) is (DEE) (Simplify your answer. Type integers or decimals.) Question list K Find the point P on the curve r(t) that lies closest to Po and state the distance between Po and P. r(1) = 1i+ 2tj + 2tk; Po(4, 10, 17) O Question 8 The point P is(]D Question 9 (Type an ordered triple, using integers or decimals.) Question 10 Question 11 Question 12Find a function r(t) that describes the line passing through P(2,6,8) and Q(9,3,2). Question list K Question 1 r(t) = (71+ 2. , for Question 2 Question 3 Question 4Homework: Section 14.1 Question 3, 14.1.25 HW Score: 0%, 0 of 15 points Homework O Points: 0 of 1 Save Question list K Graph the curve described by the following function, indicating the positive orientation. r(t) = 5e 20 sin ti + 5 e costj + 5tk, for 0 s t Question 7 OD. {t : t OE. it : 12 Question 8 OF. {t: ts ortz OG. {t: O D. (t: t Question 8 OE. {t: sts OF. att