cab10 cab10
  • 11-05-2021
  • Mathematics
contestada

F'(x)=2x+17 f(1)=7 what is f(0)

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 12-05-2021

9514 1404 393

Answer:

  f(0) = -11

Step-by-step explanation:

The function f(x) is found by integrating its derivative. The constant of integration is found from the given point.

  [tex]\displaystyle f(x)=\int{f'(x)}\,dx=\int{(2x+17)}\,dx=x^2+17x+c\\\\f(1)=7=1^2+17\cdot1+c\quad\rightarrow\quad c=-11\\\\f(0)=0^2+17\cdot0-11\\\\\boxed{f(0)=-11}[/tex]

Ver imagen sqdancefan
Answer Link

Otras preguntas

Round 1.0649 to the nearest thousandth
Calculate the average speed of a bicycle that travels 100m in 20 s.
Use elimination to solve the system:6x-4y=6-6x+3y=0
How can I split five brownies between three people
The major blood vessels include a. arteries. b. veins. c. capillaries. d. all of the above.
When you whisper, you produce a 10-dB sound. a. When you speak quietly, your voice sounds twice as loud as a whisper. How many decibels is this? b. When you spe
What is MULTIPLIED to equal 80 but can be ADDED to make NEGATIVE 21
compare and contrast the various adaptations of aquatic and desert plants?
WHERE DID MOST AMERICANS LIVE IN THE EARLY 1800S
in a given training week a swimmer completes 1/4 mile on day one 2/5 mile on day two    and 3/7 mile on day three,,