Question

PLEASE HELP!!!!! If f(3)=1.8 and f(4)=-3.2, use linear interpolation to approximate f(3.6)

Answer 1

i guess you are being asked to find the equation of the line between the points
\((3,1.8)\) and \(( 4,-3.2)\)
do you know how to do that?

Answer 2

you need the slope of the line
\[\frac{-3.2-1.8}{4-3}=-5\]

Answer 3

yes i do, but what do you do after you find the equation of the line?

Answer 4

replace \(x\) by \(3.6\)

Answer 5

oh okay and then y = f(3.6)?

Answer 6

what answer did you get?

Answer 7

i didn't do it, but i can. give me a second

Answer 8

thanks! :)

Answer 9

no it isn't
line is \(y=-5x+16.8\)

Answer 10

then \(-5\times 3.6+16.8=-1.2\)

Answer 11

okay i got the same answer! thanks abillion!!!!

Answer 12

yw

Answer 13

can you help me with another porblem?

Answer 14

sure

Answer 15

okay here it is, is -3/2 a root of 3x^3 -5x^2-2=0

Answer 16

dunno but i can use a calculator to see if \[3(\frac{-3}{2})^3-5(-\frac{3}{2})^2-2=0\]

Answer 17

okay

Answer 18

i will try tht

Answer 19

http://www.wolframalpha.com/input/?i=3%28 \frac{-3}{2}%29^3-5%28-\frac{3}{2}%29^2-2%3D0

Answer 20

i used that calc and it does not equal zero. so i guess it is not a root. lol

Answer 21

this one might be clearer, but it does not seem to be zero
http://www.wolframalpha.com/input/?i=3%28-3%2F2%29^3-5%28-3%2F2%29^2-2

Answer 22

and one last question, If P is a polynomial function, and P(1)=P(4)=6, could P have a zero between 1 and 4?

Answer 23

why not?

Answer 24

that is the answer that I got a well. you are such a help to me!!!!

Answer 25

glad to help

Answer 26

I am not sure. lol so the answer is yes?

Answer 27

yes, it could have zero between 1 and 4

Answer 28

okay. thank you!

Answer 29

yw