First integral:
Use the rational exponent to represent roots. You have
And from here you can use the rule
to derive
Second integral:
Simply split the fraction:
So, the integral of the sum becomes the sum of three immediate integrals:
So, the answer is the sum of the three pieces:
Third integral:
Again, you can split the integral of the sum in the sum of the integrals. The antiderivative of the cosine is the sine, because . So, you have
Answer:
113.1 (113.0973355...)
Step-by-step explanation:
1. Use the sphere volume formula of π.
2. Divide 6 by 2 in order to get a radius of 3.
3. Substitute 3 in for r.
4. Cube the 3, you'll get 27.
5. Multiply 27 by Pi and 4/3.
6. You get 113.1 as a rough estimate, or 113.0973355... for a more exact number. If you leave it in Pi terms, it's 36π.
Answer:
Step-by-step explanation:
it has no solutions b/c the lines are parallel...but at a different offset.. so they never cross
Answer:
39 active volcanoes.
Step-by-step explanation:
Subtract 169 (whole) from 130 (part). 9 - 0 = 9, 6 - 3 = 3, and 1 - 1 = 0. Therefore, 169 - 130 = 39