Multivariable Calculus Question. See photo. Is my answer for Part (A) correct? If so, can you help me do Part (B)?

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Multivariable Calculus Question. See photo. Is my answer for Part (A) correct? If so, can you help me do Part (B)?

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yes for A
Good. Thanks!

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I'm confused on how to start Part (B) though. It looks straight-forward, but I don't see how to do it.
Looks like some rise over run thing. When answering, can you draw it for me?
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!
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is the problem from topology class?
No, Multivariable Calculus (Calculus III) class.
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
try to do the other part on the same logic
Can you be more specific, please? Sorry, this is the first time I'm attempting this.
It says to make a geometric construction. Can someone do this for me?
I am so glad my professor didn't give me this. I don't know where to begin
:( I asked over 10 people for help on this. I got one useful answer for part B, but not parts C and D.
I haven't even heard of this and I have taken multivariable calculus
What?! x__x
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.
oh yeah I've done Green's Theorem
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)
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
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
sorry couldn't reply.. was going for a movie :P
@Divu.mkr, Thank You for the help! Although it's too late now, I'll still give you points.

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