Question

If z= sqrt[(x^2)y + x(y^2)] and (x, y) changes from (5, 20) to (5.2, 20.4), compare the values of delta z (triangle z) and dz.

Answer 1

Okay, I'll take a quick crack at it

Answer 2

kk

Answer 3

First off, what is this question for?

Answer 4

What kind of class?

Answer 5

calculus 2

Answer 6

Oohhhh... F... Okay, I'm glad I asked. I'm only in Trig. Coincidentally, my teacher was saying how important trig was for calc 2, but I'm skeptical I can be helpful.

Answer 7

Considering how dead it is here, I doubt anyone else is on btw...

Answer 8

I actually came for help on my own homework, but noone responded :P

Answer 9

thas cool ill get it later

Answer 10

Hmm... I've my brother, who took calc 2 is up, actually. Lemme Harass er ...ask him.

Answer 11

What does d in dz mean, btw?

Answer 12

yo nvm. ill post it again later i think i got it. thnxs

Answer 13

Alrighty. Take it easy. I'm gonna try to finish my homework now. <_< ^^

Answer 14

if some1 can solve it that would b good to check my answer thnks

Answer 15

I'm working on it

Answer 16

ok thanks

Answer 17

What did you get for dz?

Answer 18

i stopped working on it i moved onto the next question

Answer 19

well you know x=5 y=20 dx=.2 and dy=.4 differentiate z to get dz and then you can plug in the values of x,y,dx,dy resulting in dz

Answer 20

can u show me the full solution?

Answer 21

do you know what the correct answer is? just want to check it with mine before I load the full solution

Answer 22

no i actually dont

Answer 23

\[dz=[1/2(x^2y+xy^2)^{-1/2}(2xy+y^2)]dx\]
\[+ [1/2(x^2y+xy^2)^{-1/2}(x^2+2xy)]\]
\[x=5, dx=.2, y=20, dy=.4\]
Plug these values in and let me know what you get

Answer 24

forgot the dy, sorry
\[[1/2(x^2y+xy^2)−1/2(x^2+2xy)]dy\]

Answer 25

gotdamit i messed it up again hold on

Answer 26

\[+[1/2(x^2y+xy^2)^{−1/2}(x^2+2xy)]dy\]

Answer 27

Here is the entire equation with any typos, sorry for the confusion
\[dz=[1/2(x^2y+xy^2)^{−1/2}(2xy+y^2)]dx\]
\[+[1/2(x^2y+xy^2)^{−1/2}(x^2+2xy)]dy\]
\[x=5,dx=.2,y=20,dy=.4\]