Hello, my name is Calleigh and i am new to the forum! I am in Calculus II and have a few questions on some problems. I am using the textbook Calculus 8th edition by Larson, Hostetler and Edwards. Could someone please help me?(adsbygoogle = window.adsbygoogle || []).push({});

The problem is on pg 950 in chapter 13.7 in the text, number 46. It reads:

a. Find symmetric equations of the tangent line to the curve of intersection of the surfaces at the given point.

b. Find the cosine of the angle between the gradient vectors at this point.

c. State whether or not the surfaces are orthogonal at the point of intersection.

And they give:

z=x^2+y^2, and x+y+6z=33 and the pt (1,2,5).

My first problem is understanding how to draw this with the z thing. What's the tangent line to this curve (wait, what curve??) and what does it means when it asks for "the cosine of the angle". And how do i tell if they're orthogonal, do i use the dob (sp?) product or something like that? I'm pretty lost as you can tell.

Any help would be greatly appreciated! Thanks guyssss ;)

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# Symmetric equations of tangent lines to curves

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