For each problem, find all points of absolute minima and maxima on the given closed interval.
Problem 1 :
y = −x3 − 6x2 − 9x + 3; [−3, −1]
Problem 2 :
Problem 3 :
f(x) = x3 + 6x2 + 9 x + 3 ; [-4, 0]
Problem 4 :
f(x) = x4 - 3x2+ 4; [-1, 1]
Problem 5 :
1) So, absolute minimum is at (-3, 3) and absolute maximum is at (-1, 7).
2) So, absolute minimum is at (5, 8/29) and absolute maximum is at (0, 2).
3)
Absolute maxima are at (0, 3) and (-3, 3)
Absolute minimum are at (-4, 1) and (-1, 19)
4)
Absolute minima are at (-1, 2) and (1, 2).
Absolute maximum is at (0, 4).
5)
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM