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flyingcerberus1408
10.07.2019 •
Mathematics
Find the values of c such that the area of the region bounded by the parabolas y = 16x2 − c2 and y = c2 − 16x2 is 250/3. (enter your answers as a comma-separated list.)
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Ответ:
First, note that these two parabolas are symmetric about the x-axis. The first one has its branches up in y-direction and the second one has its branches down in y-direction. This means that if you want to find area of the region bounded by the parabolas, you can find area of the region bounded by second parabola and x-axis and multiply it by 2.
1. Find x-intercepts of parabola![y=c^2-16x^2.](/tpl/images/0073/3459/2d99e.png)
When y=0, you have
2. Find area:
Then the area of the region bounded by the parabolas is
3. Since this area is
you have
c=5.
Ответ:
ANSWER:
The 75% of 400 is 300.
SOLUTION:
Given, 75% of 400.
We have to Write and evaluate an expression to find the answer. Then we have explain how to use the model to justify the answer.
Now, let x and y be any two numbers such that, 0 ≤ y ≤ 100
Now, let us substitute the given values in above expression.
We have to do the same procedure for any given values.
Hence, the 75% of 400 is 300.