Mark, this is exactly where I got stuck: on where to go after I found the gradient of g(x,y); and how I can connect that to f(x,y) in order to find what the point f is. The gradient of f(x,y) is:
∂f/∂x = -2x
∂f/∂y = -2y
f(x,y) = z = 4 - 2x2 - 2y2
That is as far as I got and then I didn't know...
Albuser, I have already found the equation tangent to g. However, I'm not sure how I can make the partial derivatives equal to g and solve from there. It would be really difficult and I would not get a concrete answer.
Took df/dx, df/dy, and I know that g(x,y) = 8-2x^2-3y^2. I also followed the general formula, which is: f(x,y)+[df/dx(x,y)](x-x0)+[df/dy(x,y)](y-y0). In the derivatives, I plugged in the point.
Homework Statement
Let P be the tangent to the graph of g(x,y) = 8-2x^2-3y^2 at the point (1, 2, -6). Let f(x,y) = 4-x^2-y^2. Find the point on the graph of f which has tangent plane parallel to P.Homework Equations
g(x,y) = 8-2x^2-3y^2 at (1, 2, -6)
f(x,y) = 4-x^2-y^2
The Attempt at a...
By the way, this IS a **discussion** board, and so I am not expecting black or white answers. If I feel that some of you are answering rudely or not giving any kind of constructive criticism, I will block you. I don't mean to be rude, it's just that I need advice from you guys. I don't need...
Thanks for your posts. When I say "I will settle for math", I definitely don't mean that math is easier or inferior to physics, but it's just that I have higher grades in math (much higher) and I seem to understand the concepts better. Needless to say, I also feel that I do have the potential to...
Indi, thanks for the encouragement, but I think that for now the wisest thing to do would be to go for math and then get back into physics when I feel ready. I might need to go in my own pace before I can go for a degree in physics.
Choppy, I have decided to just settle for a major in math. And while I am doing math, I will review the physics book I have and do the problems at my own pace. When I get to the level of master's in math, I might think about getting a degree in physics if I am feeling up to it. This is the only...
Micromass, what kind of material would enhance my understanding instead of just doing more and more book problems? I have thought about reading some of the Feynman lectures (6 Easy Pieces, etc). Also, this could probably help indirectly, but I tend to also read just popular books or books that...