Question

Multivariable Calculus Question.

See photo.

Is my answer for Part (A) correct? If so, can you help me do Part (B)?

Answer 1

yes for A

Answer 2

Good. Thanks!

Answer 3

I'm confused on how to start Part (B) though. It looks straight-forward, but I don't see how to do it.

Answer 4

Looks like some rise over run thing. When answering, can you draw it for me?

Answer 5

There's also a part (C) and a part (D) as well. Once part (B) has been dealt with, I'd like some help with C and D too. Thanks!

Answer 6

is the problem from topology class?

Answer 7

No, Multivariable Calculus (Calculus III) class.

Answer 8

@dan815

Answer 9

in second part.. the derivatives indicates that y is constant and derivative of z wrt x
so the 'k' in the eqn is z
then put y=constant (derivative=0)
0= 1/2 *1 + dz/dx

Answer 10

try to do the other part on the same logic

Answer 11

Can you be more specific, please? Sorry, this is the first time I'm attempting this.

Answer 12

It says to make a geometric construction. Can someone do this for me?

Answer 13

I am so glad my professor didn't give me this. I don't know where to begin

Answer 14

:( I asked over 10 people for help on this. I got one useful answer for part B, but not parts C and D.

Answer 15

I haven't even heard of this and I have taken multivariable calculus

Answer 16

What?! x__x

Answer 17

I've done line integrals, stoke's theorem, divergence theorem, conversions in cartesian, polar, spherical, double integrals, triple integrals, Jacobian... I have never came across this.... seriously.

Answer 18

oh yeah I've done Green's Theorem

Answer 19

if oyu want to make geometrical construction.. take y as a constant like y=2
sketch a graph...that will give you a value of slope
and as you may think of changing value of y the graph will just shift upward or downward
(y=2 was just an example, you can take it as 4,5...u got my point of taking y as a constant)

Answer 20

for 3rd part um confused 'coz its asking if the m and n are same sign or opposite sign
if you can help me understand the question, i can try
if I would have to guess then m and n are of same sign coz of the paragraph starting

Answer 21

part D
we are assuming n=0 and z=k in the eqn z=mx+ny +c
k=mx+c
x=(k-c)/m
it will be a horizontal straight line

Answer 22

sorry couldn't reply.. was going for a movie :P

Answer 23

@Divu.mkr, Thank You for the help! Although it's too late now, I'll still give you points.