mavalos8948 mavalos8948
  • 25-08-2017
  • Mathematics
contestada

Question part points submissions used find a second-degree polynomial p such that p(3) = 17, p'(3) = 10, and p''(3) = 4.

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 25-08-2017
yay

so
dy/dx ax²+bx+c=2ax+b
then the derivitive of that is
dy/dx 2ax+b=2a

so therefor the 2nd derivitive of the p(x) is 2a
2a=4
a=2
neato
go back
first derivitive
dy/dx ax²+bx+c=2ax+b
p'(x)=2ax+b
for p'(3)=10
remember that a=2
p'(3)=(2)(2)(3)+b=10
12+b=10
b=-2

go to the begining
p(3)=17
a=2
b=-2

p(3)=2(3)²-2(3)+c=17
18-6+c=17
12+c=17
c=5


the polynomail is
p(x)=2x²-2x+5
Answer Link

Otras preguntas

Review the scenario and the solution. Explain what is wrong with solution and correct the error. Rick studies for 2.25 hours per night. He spends 1/3 of that ti
dust settling out of the air chemical change or physical change
1) The scatter plot below shows the distance Destiny traveled on her cycling trip for various lengths of time during the trip. What equation could describe th
Compare the test groups which cup had the had the most leaf disks floating after 20 mins
what happens when you divide a unit fraction by a whole number
What is 8.5 as a fraction?
What is the five steps of the water cycle in order ? Evaporation Precipitation Runoff Condensation Transpiration I WILL GIVE YOU A THOUSAND POINTS IF HELP!!!
is a rectangle a quadrilateral
4 less than the quantity of 8 times n
Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 colors, and 3 styles. First, Taha