|
|
發表於 2008-3-31 16:02:59
|
顯示全部樓層
原帖由 ken809 於 2008-3-31 04:01 PM 發表 
full mark幾多?
100 我偷左份卷然後諗住俾我d math106學生
1. Find an equation for the plane that contains the point (1,-2,1) and the line r(t) = A+tB where A=(1,-1,2) and B=(-1,2,0)
2. Let two lines be parametrized by r_1 (t) = (1,2,2) + t(2,1,-1) and r_2 (s) = (2,-1,3) + s(-2,1,1). Do these two lines intersect? If so, where?
3. Let r(s) = (1+s^2) i + (2-s^2) j + (3s^3 +4)k be a parametrization of a curve in space. Find a vector-valued function to describe the tangent line of this curve at r(0) if it exists.
4. Fidn the limit x,y->(0,0) xlny/(x^2 + (y-1)^2) if it exists.
5. Use the tangent plane approximation to find an approximate value of f(x,y,z) = sqrt(x^2 - y + z^2) at the point (1,01,1.02,0.99) (must show steps). |
|
IP卡
狗仔卡
顯身å¡
