a) Calculate the area of one petal of the four-petal rose r = cos 20. b) Calculate the area enclosed by the lemniscate (
Posted: Mon Jul 11, 2022 11:04 am
a) Calculate the area of one petal of the four-petal rose r = cos 20. b) Calculate the area enclosed by the lemniscate (aka infinity symbol) +2 = cos 20. Hint: Be really careful with the limits of integration. Note that if cos 20 in negative, there cannot be any value for r since r² cannot be a negative number. Calculate the length of the spiral of Archimedes r=0 for 0 ≤0 ≤ 2m. Hint: This is a fairly complicated integral. Start by making a trig substitution.