Question

L 2111433) IUX 2 3 +10 incorrect incorrect At least one of the answers above is NOT correct. 1 of the questions remains unanswered. (1 point) First find f' and then find f. f"(x) = 4x - (2x3 + 4x?) + 10, f'(1) = -2, $(1) = -5. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Your score was recorded You have attempted this problem 2 times. here to search DELL

Answer 1

Given FR = 4*-(2x'+44%)+10 f(x) = 4x-283-4x+10 +&x) = -21-4*+48 +10 no To Find tax . Taking integration with respect I to x. of equation S fixy dre = SE2x?-4x'+4x+10) dx w w

t'ix) = -2%x*dx-48x?dx+45xdx+10 lidt i Sticks dx = fex)+c nal Mti Fix) = -24%) -46, +4685 ) + 10x +C i scan stand)dx = x+ te - -** - 4x + 2x + 10x+c no

To find a Given initial condition is (fo) = -2 of x= 1 in equation ® fo= -(-469 +20+100)+c -2=-62 - 461) +20) + 10+€ -2 = {- +2+10+ -2= *- +12+C -2 + 1 2 +43 - 12=0 {+ -14 =( 3 4100 -14 =( 1 6 -14=C

C Hence equation ® becomes f'x) == 24-483 +227104+(+73) to find food finally integrate with respect to e of equation s t'es dx = SET - 4x +2344 10x-YJe

+Q) = -5/<*dx -453*dx + 2/x?dx + 10%xdx - 73 Sv.dx FR) = ) - 4 ) + ) +10044)-**+<, += - * 73x +4 Fisende e tey 7 ni dx = x hat

te) = * - * +238 +522-7274 (FⓇ)=--*+ **52731+cf® To Find Given Another initial condition is (f(1) = -5] at xzl in equation ® to = - video com * + 299*+ 50-73+4 -5= 7 - 5 + 2,03 +541–72 +4 -5= 1 / 3 + 2 +5-23 +4,

5-5년 1놓을층이 --lo - + 2 - + 하늘렇서 - - 금 + (2-3] + (o = ) = + ( ) + C / o + i = +( ) + C, C ) = 킹 +c, 쁨 킹다

-99 +21=4 To to - +594 +710 GO substitute of value in equation ☺

Hence et-ext 5 Ž + 2x3 + - +5x ... The required fonctions are (f(x) = -x - 4x + 2x +10x - 73 and tex) = -* - R + 2*+542-73 +44/