KSizzle1998 KSizzle1998
  • 08-02-2021
  • Mathematics
contestada

Find a quadratic polynomial verifying f(-3) = – 18, f'(-3) = 16, f''(-3) = - 6.

Find a quadratic polynomial verifying f3 18 f3 16 f3 6 class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 09-02-2021

Let f(x) = ax ² + bx + c. Then

f '(x) = 2ax + b

f ''(x) = 2a

f (-3) = -18, so

9a - 3b + c = -18

f ' (-3) = 16, so

-6a + b = 16

f '' (-3) = -6, so

2a = -6

Then a = -3, b = -2, and c = 3, so that

f(x) = -3x ² - 2x + 3

Answer Link

Otras preguntas

Why are hooves more advantageous for horses in the modern era? (1 point) O Hooves are better suited for environments with a wider range of vegetation, o O Hoove
Find the perimeter and area of a plank of size 300 cm * 30 cm​
Part B What is the interquartile range of the number of days represented on Kelly's line plot? Be sure to show your work and explain your reasoning. 0, 0, 2, 2,
What would happen if Tammy, a type 1 diabetic, routinely decided to skip her evening insulin injection
7. Who is Tom Robinson?
please answer quickly thank you
a box contains 576 marbles of six different colors . if there are 254 boxes, how many marbles are in all the boxes
What does it mean when your ip address is blacklisted.
Which of these plants are thought to be the first land plants and the main food source for large dinosaurs?1. Mosses2. Ferns3. Evergreens4. flowering trees​
PLEASE HELP I WILL GIVE BRAINLIEST 5. Explain one conclusion you might draw from the Israeli-Palestinian conflict. (4 points)