if f(x)=3/x+2-sqrtx-3 complete the following statement. The domain for f(x) is all real numbers___ than or equal to 3
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Answer:
Step-by-step explanation:
If you had a solid cylinder, in order to find the amount of material that makes up that solid cylinder, you would find the volume using the radius of 4 (half of the diameter 8). BUT we want to know the volume of the solid with the radius of 4 minus the solid that has a radius of 2.5 (half of the diameter 5).
That's volume outer - volume inner. To find the outer volume:
so
and
and do the same for the inner volume:
and
Subtract the inner from the outer:
If you need your answer in decimal form, then the volume is
9189.16 cm³
All you need to know is that:
- In the first quadrant, both coordinates are positive
- In the second quadrant, x is negative and y is positive
- In the third quadrant, both coordinates are negative
- In the fourth quadrant, x is positive and y is negative
- The sine is the y coordinate of the points on the unit circle
- The cosine is the x coordinate of the points on the unit circle
- The cotangent function is defined as the ration between the cosine and the sine of an angle.
So, if sin theta is negative and cot theta is positive, you're saying that you're looking at a point with negative y coordinate and such that
The ratio of two numbers is positive if and only if they have the same sign, so the cosine must by negative as well.
Saying that an angle has negative sine and cosine is the same as saying that the angle identifies a point on the unit circle where both x and y coordinates are negative.
So, if you look at the bullet list at the beginning, you'll see that the point is in the third quadrant.