Let f(x)=8secx. Then f′′(π/9)

f(x)=secx.

f'(x)=sec x tan x.

Use the product rule to find f ' '(x).

F ' '(x)=(secxtanx)tanx+secx(sec2x).

So, f ' '(x)=secxtan2x+sec3x.

Evaluate:f ' '(π4)=sec(π4)tan2(π4)+sec3(π4)=(√2)(1)2+(√2)3=√2+2√2=3√2.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

what "following statement"?

step-by-step explanation: