Answer:
20 sin³O. cos²O - 5sin⁵O
Step-by-step explanation:
y = sin⁵O
Using the Chain Rule
dy/dO = 5 sin⁴O cosO
Using the Product / Chain rules:
d²y/dO² = 20 sin³O.cosO . cos O+ 5 sin⁴O * - sin O
= 20 sin³O. cos²O - 5sin⁵O
117/30 = 3 remainer 27/30 (as 3 * 30 = 90)
= 3 + 9/10
Answer:
16
Step-by-step explanation:
for ounces to cups all u have to do is divide the volume of the amount by 8
Take the deritive
y'=-3sinx
find whre it equals 0
it equals 0 at -pi, 0, pi, etc
find whre it changes from negative to positive
at -0.5pi, the derivitive is positive
at 0.5pi, the deritivie is negative
changes from positive to negative at x=0
that means that the max values are at pi and -pi in 2pi intervals
-pi, pi, 3pi, 5pi,etc
the min y value is -3
so the minimum(s) are/is at (2aπ,-3) where 'a' is an integer