dejamjones7171 dejamjones7171
  • 11-07-2018
  • Mathematics
contestada

Find f. f ''(x) = −2 + 30x − 12x2, f(0) = 9, f '(0) = 14

Respuesta :

konrad509
konrad509 konrad509
  • 11-07-2018
[tex]\displaystyle f(x)=\iint f''(x)\, dx\, dx\\\\ f'(x)=\int (-2+30x-12x^2)\, dx\\ f'(x)=-2x+15x^2-4x^3+C\\\\ 14=-2\cdot0+15\cdot0^2-4\cdot0^3+C\\ C=14\\\\ f'(x)=-2x+15x^2-4x^3+14\\\\ f(x)=\int (-2x+15x^2-4x^3+14)\, dx\\ f(x)=-x^2+5x^3-x^4+14x+C\\\\ 9=-0^2+5\cdot0^3-0^4+14\cdot4+C\\ C=9\\\\ \boxed{f(x)=-x^2+5x^3-x^4+14x+9}[/tex]
Answer Link

Otras preguntas

If you place a 80-foot ladder against the top of a 64-foot building, how many feet will the bottom of the ladder be from the bottom of the building?
Which equation is y=-6^2+3x+2 rewritten in vertex form?
If an organism is heterozygous for a particular gene, the two different alleles will be separated during anaphase II of meiosis, assuming that no crossing-over
1. El nuevo modelo de automóvil tiene un diseño único, elegante. 2. Después de muchos años a la deriva, Ricardo amaba todavía a su adorada Catalina. 3. Humberto
I confused on this one
need help plz. no joking around. thank you
Need help ASAP !!!!!!!!!!!
You pay $2.40 for 3/4 pound of grapes your friend buys a pound of grapes at the same time and estimates that he will pay $1.80 what can you say about your frien
PauseStopReplay Word Translate Which base is found only in RNA nucleotides?
How were the motivations behind the Korean War and the Vietnam War similar? A. Both wars grew in scale when the United States intervened to stop communist gr