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MATH213: Homework 1 - Finding Equations of Planes and Sketching Surfaces, Assignments of Mathematics
The homework assignment for math213: sections h and j, due on august 27, 2008. The assignment includes finding the equation of a plane given three points and sketching various surfaces. The surfaces to be sketched include parabolic and quadratic functions in cartesian coordinates.
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MATH213: Sections H and J Homework 1 Due: August 27, 2008
- (10 points) Given the points P = (p 1 , p 2 , p 3 ), Q = (q 1 , q 2 , q 3 ), and R = (r 1 , r 2 , r 3 ), find the equation of the plane containing P , Q, and R.
- Identify and sketch the following surfaces:
(a) (2 points) x =
√
1 − y^2 − z^2
(b) (1 point) y = 2 − x
(c) (2 points) z =
√
√
x^2 + y^2
(d) (3 points) y = 3 − x^2 − z^2
(e) (2 points) x^2 + y^2 = 5