This is not a homework problem but in fact a solved example question.
The full question text is below with answers and my reasoning for them. Could someone please explain the reasoning behind part (c).
A coffee shop sells 5 types of coffee (latte, mocha, espresso, cappuccino and iced...
I get what you mean but how do you know that that is the directional vector?
Like what is the method for finding out?
If the question had the line 2(x−1) = y − 1 = -3(z−2) then how would the directional vector be different?
Sorry but I'm really trying to understand this.
1. Question:
Find the directional derivatives of f(x, y, z) = x2+2xyz−yz2 at (1, 1, 2) in the directions parallel to the line (x−1)/2 = y − 1 = (z−2)/-3.
2. Solution:
We have ∇f = (2x + 2yz)i + (2xz - z2)j + (2xy - 2yz)k.
Therefore, ∇f(1, 1, 2) = 6i - 2k.
The given line is...
EDIT: I totally just got it. Thank you so much for your prompt response.
Sorry, i know that I'm being really thick on this and once i see it i'll kick myself but 1 follow up question if you don't mind.
is the reason you know that -101\equiv -10 ~\mbox{mod} ~13 because you know that the...
This is a very basic question that I am having some difficulty grasping.
When I do the long division for -101 / 13, my first step is -7 which comes out to -91 and so I have left -10.
Shouldn't this be where the calculation stops?
One of the thoughts I had was that as -13 is smaller...
So, I've browsed PF and found it to be awesome in terms of advice.
I've already read some of the threads that about the IB Physics extended essay.
Some basic information:
Education level is Grade 11/12
I can handle quite advanced physics.
The actual Extended Essay is a 4000 word in depth...