f(x, y, z) = (4 - x^2 - y^2) ^ 1/2
(a) Evaluate f(1, -1, 2).
(b) Sketch the domain of f.
(c) What is the range of the function f?
several variables?
2016-10-02 6:38 am
回答 (1)
2016-10-04 11:00 am
✔ 最佳答案
(a)f( 1 , -1 , 2 )
= ( 4 - 1 - 1 ) ^ 1/2
= √2 ..... Ans
(b)
4 - x² - y² ≧ 0
x² + y² ≦ 4
domain ( f ) = { ( x, y, z ) ｜ 0 ≦ x² + y² ≦ 4 and z ∈ R } , a cylinder with infinite height.
(c)
0 ≦ x² + y² ≦ 4 ,
0 ≦ 4 - x² - y² ≦ 4
0 ≦ √( 4 - x² - y² ) ≦ 2
range ( f ) = { f ｜ 0 ≦ f ≦ 2 } ..... Ans
收錄日期: 2021-04-23 22:02:58
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20161001223837AAbojGO