Question

type exact answer and usinf radicals as need. answer whole question please

Find the absolute maximum and minimum values of the function on the given interval f(x) = 5 csc X, SXSA

Answer 1

Sola: flex) = 5 Cose (w), Igave :fos finding the Gitical point si f'(o) : { 5 Cosec (x)} Š al cosecxe? #(W) 5-5 col (6) Cosec (0) vi - 5 Cot (a) Cosee (x) = 0 .../x = 7/2] Now, t' () = {-5604 GB) Casecves} =-54 § lot (ox) coseches} =-5 { Cot (a) f(sex) + Give to get lost my? =-546of cu) Corecte) – cosec?(11%) "(x) = 5 cop?co) Cosec (x) +5loser}(x) of y(79) = 0 +5:5 0 i att , f (x) is Minima iicif(=172) : 5 cosec (T) = 5 and at flx = 776) = 5 Cosec (1/6) = 10 x f . f (x = 3/4) = 5 losec / 3/4) = 70071 Absolute Maxima ) at Ix = 1/6 f f(x)=10) labsolute Minima = at pe = 7/2 af f(x) = 5 S4,