Question

Please help, I will fan and medal, I just need a little point in the right direction.
Equation: f(x)=15x-4.9x^2
Compute the stone's average velocity over the time intervals [1, 1.01], [1,1.001], [1, 1.0001] and [.99, 1], [.999, 1], and [.9999, 1]

Answer 1

Hey @agent0smith, do you think you could give me a hand with this one?

Answer 2

You're given the x-values. Find the corresponding y-values.

Then find the slope between the two points.

Eg the first one [1, 1.01]
Find the two points, (1, f(1) ) and (1.01, f(1.01) )
Then find the slope between them.

Lather, rinse, repeat, as needed.

Answer 3

So if i was to use my calculator and do like y1(1) and that would be 10.1? and then I would do y1(1.01), which equals 10.151... So then I would do (10.151-10.1)/1.001-1 ?

Answer 4

That looks about right, assuming you calculated correctly.

Answer 5

Except 1.01 not 1.001.

Answer 6

Oh right, haha, whoops, I did it right on my calculator but not in typing :) So i got something like 51 ish, does that seem like a reasonable answer?

Answer 7

That seems too large. Should be around... 5.

Answer 8

so what did I do wrong?

Answer 9

Math, would be my guess.

Answer 10

So should it be something like 5.15?

Answer 11

did you not correct the 1.001?

(10.151-10.1)/(1.01-1) =

Answer 12

Because I think I was confused on the slope part, like which one is x1 and x0... But i did it the other way around and I think that's right?

Answer 13

woah what just happened 0_o

Answer 14

Well that's annoying

Answer 15

yeah I did fix it @agent0smith ... does that still not seem right?

Answer 16

Then you did math wrong.
https://www.google.com/search?q=(10.151-10.1)%2F(1.01-1)+%3D&rlz=1C1AOHY_enUS708US708&oq=(10.151-10.1)%2F(1.01-1)+%3D&aqs=chrome..69i57&sourceid=chrome&ie=UTF-8

Answer 17

Didn't I have that answer when I said "So should it be something like 5.15? "?

Answer 18

Sorry I'm just making sure..

Answer 19

Oh my gosh I'm so dumb. You're totally right, yikes. Thanks for always being so helpful and patient lol.

Answer 20

Well yeah, remember i said it should be around 5 ;P

Answer 21

Can you not? @kg1975

Answer 22

I'm sorry it's kind of distracting, maybe because I can't see the actual help I am getting? @kg1975

Answer 23

????

Answer 24

I'm guessing you got them? They should all be around 5.