calculus of vector-valued fun2

👨🏻‍🏫 學術台數學

explorer

2011-01-15 12:05 am

Find the parametric equations of the curve C of intersection of the surface
z= x^2 + 4 y^2 and z=2x

Also, find the equation of the tangent line at (2,0,4) to the curve C of the intersection of the surfaces above.

更新1:

why in the last part, the ans is (2,t,4),not (2,t/2,4)?? THX~~

回答 (1)

用戶9112

2011-01-15 6:49 am

✔ 最佳答案

http://img291.imageshack.us/img291/9573/64446658.png

圖片參考：http://img291.imageshack.us/img291/9573/64446658.png

2011-01-15 13:16:29 補充：
(2,t,4) is just the same as (2,t/2,4)
t is a free variable and can take on any real value
even if yu say for example (2,9t,4) it is still the same
Since t is the simplest so I use t instead of t/2

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