T(z)= sin^2(z/4), {-3 ≤ z ≤ 8}

Question

T(z)= sin^2(z/4), {-3 ≤ z ≤ 8}identify the intervals where:

a) T(z) is increasing

b)T(z) is decreasing

C)T(z) is concave up

d)T(z) is concave down

Then identify the

e) absolute minimum and where it is

f) A relative maximum ( not absolute maximum and where it is

Answer 1

a) T(z) is increasing 0-2Π

b)T(z) is decreasing 2Π-4Π

C)T(z) is concave up 2Π-6Π

d)T(z) is concave down 0-4Π

Then identify the

e) absolute minimum and where it is 0 and every 4Π

f) A relative maximum ( not absolute maximum and where it is 2Π and every 4Π