Assignment 21,22 -> provide answers in text form with little to no explanation

Calculus Problems a ) suppose that a particular function f satisfies F " ( re ) = - ( 3 sin ( ne ) + 3 cos ( no ) ) , f (0 ) = - 2 , f ' ( 0 ) = 8 then we must have Flo ) = b) answer the same question but for F " ( 10 ) = 6 20 - 24 20 2 + 8 , FLO)= - 2 , F ' ( 0 ) = - 1 f ( x ) = ( ) The area A of the of the region s that lies under the graph of the continuous function f on the interval Ca, by is the limit of the sum of the areas of approximationg rectangles : A = lim [ F ( NI ) x + F ( no 2) Ant... +Flion) D x] = lim E F (ni) Do, where AN = b-g and xi = at i AN The expression - A = lim tan ( 'sh ) gives the area of the function flax ) - on the interval b) use the same definition to find an expression for the area A under the graph of the function F (V ) = SN on the interval [ 2, 5]