Answer:
1½ cords per hour
Step-by-step explanation:
A log splitter can split 6/5 cords of wood in 4/5 of an hour.
To find a unit rate, we divide the quantity of cords of wood by the time.
This gives us the complex fraction.
This is the same as
To divide two fractions, we multiply by the reciprocal of the second fraction.
This simplifies to:
The unit rate is 1.5 cords per hour
Find the critical points of :
All three points lie within , and
takes on values of
Now check for extrema on the boundary of . Convert to polar coordinates:
Find the critical points of :
where is any integer. There are some redundant critical points, so we'll just consider
, which gives
which gives values of
So altogether, has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).
Answer:
1. x=27
2. x=11 or x=-7
3. x=4
4. x=1 or
5. x=12
6. x=11 or x=-1
7. x=8
8. x=3 or x=1
9. or x=-4
10.x=7 or x=1
Step-by-step explanation:
For the first 8, the absolute value portion is just substituted in for x, so we can skip some of the repeated work that would occur in these. For the absolute value problems, there are two solutions each. When you remove an absolute value, you have to add a plus or minus to each side and solve for each.
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