Answer:
As you kno thankA
Step-by-step explanation:
Two bo to
Answer:
9
Step-by-step explanation:
Answer:
absolute max is 120 and absolute min is -8
Step-by-step explanation:
Find critical numbers
f'(x) = 3x^2 - 12x + 9 = 0
= 3(x^2 - 4x + 3) = 0
3(x-3)(x-1) = 0
(x-3) = 0 or (x-1)=0
x = 1,3
Test them!
x<1 Sign of f' on this interval is positive
1<x<3 Sign of f' on this interval is negative
x>3 Sign of f' on this interval is positive
f(x) changes from positive to negative at x = 1 which means there is a relative maximum here.
f(x) changes from negative to positive at x = 3 which means there is a relative minimum here.
Test the endpoints to find the absolute max and min.
f(-1) = -8
f(1) = 12
f(3) = 8
f(7) = 120
The absolute maximum value of f is 120 and the absolute minimum value of f is -8.
The length of the pieces are 5 foot and 8 foot.
<h3>what is Algebra?</h3>
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Total length of board is 13 foot.
let the length of first piece be x
and length of second piece be y
So, x+ y = 13 .......(1)
Now, The length of the shorter piece is 1 ft more than half the length of the longer piece
x = y/2 + 1......(2)
Now, solving (1) and (2) we get
y/2 + 1 + y = 13
3y/2 = 12
y=24/3
y=8
Then x= 13-8
x= 5
Hence, the length of the pieces are 5 foot and 8 foot.
Learn more about Algebra here:
brainly.com/question/24875240
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