anonymous
  • anonymous
Identify the surface for each of the following equations. (a) r=5 (b) r^2 + z^2=100 (c) z=r
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
I'm thinking you're working in cylindrical coordinates. If you are, then r=5 means "r=5 no matter what theta or z is". If this is the case, you'd have a cylinder of radius 5, extending from -infinity to +infinity. The second one you can look at by considering the definition of the transformation of coordinates from rectilinear to cylindrical, namely,\[x=r \cos \theta \]\[y= r \sin \theta \]\[z=z\]Then\[r^2+z^2=(x^2+y^2)+z^2=100\]This is just a sphere of radius 10. The last one you can use the definitions again to find\[z=r \rightarrow z=\sqrt{x^2+y^2} \]which is a circular cone.
anonymous
  • anonymous
I only took the positive square root since you have to consider the fact that, with the definitions, r>0, so the representation of r in the Cartesian space must be positive also.
anonymous
  • anonymous
thank you soo much :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.