Recent content by yazz912

Ohh ok good that's how I originally had it set but wasn't sure if it was correct... But once integrated it equals pi/4 . So it works. Referring to z as a constant really helped out to graph the xy-plane thank you!:)

I would think x=y So wrt dx limit of integration is from 0 to y?

We are instructed to change the order to dydxdz that's why.

1. The problem statement, all variables and given/known Show that ∫∫∫ 12y^2 z^3 sin[x^4] dxdydz Region: { y< x< z 0< y< z 0 <z< (Pi)^ 1/4 Equals Pi/4 Change order of integration to dydxdz 2. Homework Equations Order of integration 3. The Attempt at a...

Just by simply plugging it into the original Z coordinate?

That's what my group thought that we had to integrate... So how would we find change in altitude then?

1. The problem statement, all variables and given/known A crazed ostrich names rhomboid runs along a mountain path with coordinates given by r(t) = < e^t, e^-t, sqrt(2) t> B) what is the change in rhomboids altitude from t=0 to t= 10 C) what is rhomboids speed in x direction when t=4 D)...

Ok so by using that theorem, to find the derivative of an integral. I have to plug my upper limit back into the function. Which would be SQRT[ x'(s)^2 + y'(s)^2 + z'(s)^2 ] How does this prove that ||r'(t)|| always =1 where t is any parameter?

Will differentiating on the side with the integral wipe out the integral completely? Or would I have to integrate and then differentiate?

by integrating from a to b On the following sqrt[ x'(t)^2 + y'(t)^2 + z'(t)^2 ] dt

Unfortunately no:/

Um, That it is measuring the length along the Curve ..

1. The problem statement, all variables and given/known If C is a smooth curve given by r(s)= x(s)i + y(s)j + z(s)k Where s is the arc length parameter. Then ||r'(s)|| = 1. My professor has stated that this is true for all cases the magnitude of r'(s) will always equal 1. But he wants me...

So So my last step I used the distance . D = projection of PQ onto n would this be correct?

Yes my professor makes up his own test, so I can't find anything similar to it from the examples on our book. Which is why I get confused.