I have a variable equivalent to z in sphereical coordinates which is a circle with a line down the middle (I think its called gamma but I could be wrong, too lazy to look it up right now). Gamma equals Pi/3. Gamma is also an angle between 0x and the z-axis. How do I graph the surface represented by this spherical equation?
The variable equivalent to z from what I see in your reply is phi. The answer given by the book "Multivariable Calculus 6th Edition" by James Stewart is a half cone. When I tried to make the graph myself it appeared to me to be a half plane because of the angle it formed with the z-axis. Obviously I was wrong. Do I have to do some spherical to Cartesian or vice versa transformations before I have the information necessary to draw the surface?
it's spelt pi. that is not the same question in my book, i guess the difference in editions account for that. in my book, 16.8 #5 asks you to set up a triple integral over the solid shown, and the solid for #5 looks like a thick pizza slice bounded in the first quad. anyway, you seem to be asking me how to graph (by the way is not equivalent to )
but anyway, i need to know what and are, was the question accompanied by a figure?
if and , for c a constant
then is a sphere with center the origin and radius
.
i have the combined book, single and multivariable in one!Take note that this is multrivariable, so it is an extension of the single variable book. I'm sure you must have both though Jhevon.