First, we have to convert our function (of x) into a function of y (we revolve the curve around the y-axis). So:
And the derivative of x:
Now, we can calculate the area of the surface:
We could calculate this integral (not very hard, but long), or use
(1),
(2) and
(3) to get:
Calculate indefinite integral:
And the area:
Answer D.
The hour all animals get fed at the same time if Frankie starts at 6:00 Am is 6:00 pm
<h3>Common multiple</h3><h3 />
- Hamster 4oz of food = 6 hours
- Guinea pigs 12oz of food = 12 hours
- Land tortoise 24oz of food = 24 hours
Find the lowest common multiple
- 6 hours = 6, 12, 18, 24
- 12 hours = 12, 34, 36
- 24 hours = 24, 48, 72
The lowest common multiple of 6, 12 and 24 is 12
if Frankie starts at 6:00 Am?
6:00 am + 12 hours
= 6:00 pm
Therefore, the hour all animals get fed at the same time if Frankie starts at 6:00 Am is 6:00 pm
Learn more about common multiple:
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The fromula of a slope:
We have the points and
Substitute:
<h3>Answer: slope is undefined.</h3><h3 />
It's a vertical line:
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Assuming no border or waste, 9m by 16 m translates to 29.52' x 52.49'.
use 32/8=4 sheets of plywood to cover the width on the 8' side.
For the length, use 52/4=13 pieces on the 4' side.
This gives a total of 4*13=52 sheets.
The extra 0.49' x 29.52 can be covered using the extra from the last four sheets for the width.
Check:
Area to be covered: 29.52*52.49=1550 sq. ft.
Area of plywood supplied = 52*4'x8'= 1664 sq. ft, > 1550 sq.ft.