Multivariable calculus

2013-03-29 11:02 am
1. You are standing above the point
圖片參考:https://webwork.math.ust.hk/webwork2_files/tmp/equations/a1/4ebc8a58404465c381b0007d584e781.png
.(a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.)
(b) If you start to move in this direction, what is the slope of your path?


2.
Find the equation of the tangent plane to the surface
圖片參考:https://webwork.math.ust.hk/webwork2_files/tmp/equations/64/7507e504709796df5ee79f94d9dbe21.png
0.8083 ).
更新1:

1. You are standing above the point (1,5)on the surface z=25-(3x^2+3y^2) . (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.) (b) If you start to move in this direction, what is the slope of your path?

更新2:

2. Find the equation of the tangent plane to the surface z=[e^(1x)]ln(3y) at the point (-1,3,0.8083).

回答 (2)

2013-03-29 8:36 pm
✔ 最佳答案
cannot see the pictures.

2013-03-29 12:16:15 補充:
For Q2, is e^(1x) a mistake? If it is correct, the 1 is redundant!!!

2013-03-29 12:36:27 補充:
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圖片參考:http://imgcld.yimg.com/8/n/HA05107138/o/20130329123556.jpg
2013-03-29 6:58 pm
1. You are standing above the point (1,5)on the surface z=25-(3x^2+3y^2) .
(a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.)

(b) If you start to move in this direction, what is the slope of your path?

2013-03-29 10:58:35 補充:
2.
Find the equation of the tangent plane to the surface z=[e^(1x)]ln(3y) at the point (-1,3,0.8083).


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