The slope at any point (x, y)of a curve is given by dy/dx = 3x^2-2x+k, find
a) the value of k,
b)the equation of the curve
M1有一題唔識做,請各位師兄幫幫忙!!!
2011-12-28 3:42 am
回答 (3)
2011-12-28 5:57 am
✔ 最佳答案
(a) Sub. x = 2, dy/dx = 0=> 18 - 4 + k = 0 => k = -14
(b) integrate dy/dx = 3x^2 - 2x - 14
y = x^3 - x^2 - 14x + C
As (2,0) is a point on the curve
8 - 4 - 28 + C = 0
C = 24
So, y = x^3 - x^2 - 14x + 24
2011-12-28 7:37 pm
Is it a question from CSLee's Math & Stat. ?
Simon YAU
Simon YAU
2011-12-28 4:05 am
It seems that the information are not enough...
2011-12-28 11:09:45 補充：
To myisland:
Why dy/dx=0?
2011-12-28 11:09:45 補充：
To myisland:
Why dy/dx=0?
收錄日期: 2021-04-13 18:26:39
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