# Question: Find the absolute maximum and absolute minimum values of the

Find the absolute maximum and absolute minimum values of the function

f(x) = x3 + 6x2 – 63x + 11

f'(x) = 3x2 + 12x – 63

Putting f' (x) = 0, we get

3x2 + 12x – 63 = 0

x2 + 4x – 21 = 0

(x + 7) (x – 3) = 0

x = – 7, 3 – critical points of this function

(A) Interval = [-8, 0]. The critical point in this interval is x = -7

(B) Interval = [-5, 4]. The critical point in this interval is x = 3

(C) Interval = [-8, 4]. Critical points in this interval are: x = -7, 3

f(x) = x3 + 6x2 – 63x + 11

f'(x) = 3x2 + 12x – 63

Putting f' (x) = 0, we get

3x2 + 12x – 63 = 0

x2 + 4x – 21 = 0

(x + 7) (x – 3) = 0

x = – 7, 3 – critical points of this function

(A) Interval = [-8, 0]. The critical point in this interval is x = -7

(B) Interval = [-5, 4]. The critical point in this interval is x = 3

(C) Interval = [-8, 4]. Critical points in this interval are: x = -7, 3

## Answer to relevant Questions

My aunt and I were approaching the same intersection, she from the south and I from the west. She was traveling at a steady speed of 9 miles/hour, while I was approaching the intersection at 50 miles/hour. At a certain ...The producer of a snack food claims that each package weighs 175 grams. A representative of a consumer advocate group selected a random sample of 70 packages. From this sample, the mean is 172 grams; the population standard ...A boat leaves the entrance of a harbor and travels 57 miles on a bearing of N 11° E. How many miles north and how many miles east from the harbor has the boat traveled? A) 57 mi N, 57 mi E B) 56 mi N, 10.9 mi E C) 293.2 mi ...The mean amount spent by a family of four on food per month in U.S. is unknown, but we assume that the distribution of the food costs is normal. A research firm selected 100 families and found that the mean amount is $500 ...Customers arrive at Paul Harrold’s Styling Shop at a rate of 3 per hour, distributed in a Poisson fashion. Paul can perform haircuts at a rate of 5 per hour, distributed exponentially.a) Find the average number of ...Post your question