What formula would you write for this line?
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It will take 100 weeks to build the tower.
Since Donald Trump wants to build a 100 meter high tower as quickly as possible with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall, and using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are, to determine what is the shortest amount of time (weeks) that it will take to build the tower, the following calculation must be performed:
- Time per block x total blocks = Total time
- 1 week x 100 = X
- 100 weeks = X
Therefore, it will take 100 weeks to build the tower.
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Notice that Given that is an ellipse, consider a conversion to polar coordinates:
The Jacobian for this transformation is
with determinant
Then the integral in polar coordinates is
where you can evaluate the remaining integral by substituting and
.