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

Are these two figures similar? Explain.
how will food delivery like deliveroo engage with local community​
Use The diagram to complete the statement​
7. Why was (and still is) the cinema (aka, movies) the cultural or commercial product with which the United States was (and still is) most closely identified? 8
Help me urgent please
Which of these is a unit of density?
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, what percentage of people have an IQ score betwe
A rectangular carpet has a perimeter of 16m and area 15 m^2. Find the lengths of the carpets sides
Why do you think cartilage and not bone connects the two os coxae in the front?
20 pointsIn the figure below, which answer choice correctly identifies the name of two line segments? A . B .C. D