ocr: PART II: Choose one of the following two problems. 10. r=l+2 cose is the polar equation for a limacon with an inner loop. a) Set up the integral for the arclength of the inner loop. b) Set up the integral for the area enclosed by the outer loop. 11. a) Find the Taylor Series about the origin through 6th degree for the following: i) 1 ii) 1 (1-x)2 iii) arctan X 2 b) In using Taylor's Series to compute sin t what is a bound on the error made in omitting terms of degree 7 or more? Give reasons.
