Answer:
The volume is:
Step-by-step explanation:
See the sketch of the region in the attached graph.
We set the integral using washer method:
Notice here the radius of the washer is the difference of the given curves:
So the integral becomes:
We solve it:
Factor out and distribute the exponent (you can use FOIL):
Notice:
So the integral becomes:
Then using the basic rule to evaluate the integral:
Simplifying a bit:
Then plugging the limits of the integral:
Taking the root (rational exponents):
Then doing those arithmetic computations we get:
Answer:
Step-by-step explanation:
We can apply Pythagoras' Theorem.
Answer:
96 ways
Step-by-step explanation:
Given
Required
Ways to divide it into period of seconds
What this question implies is to determine the total number of factors of 86400
To start with, we determine the prime factorization of 86400
To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...
This implies that:
The number of factors d is the solved by:
Where
By comparison:
So:
<em>Hence, there are 96 total ways</em>
Answer:
38.4;
Step-by-step explanation:
32.5% × ? = 12.48
? =
12.48 ÷ 32.5% =
12.48 ÷ (32.5 ÷ 100) =
(100 × 12.48) ÷ 32.5 =
1,248 ÷ 32.5 =
38.4;
Function means no x value repepetes with a differnt y value
(x,y)
first numbers never repeat
first one, the x values repeat
2nd, x values rpeat
3rd, no repeat
4th, -3 repeats
answer is 3rd option