We have when or , so we need to check the sign of on 3 intervals:
- Suppose . In particular, let . Then . Since is negative on this interval, we have as .
- Suppose , say . Then , so that as .
- Suppose , say . Then , so that as .
We can summarize this behavior as in the attached plot. The arrows on the -axis indicate the direction of the solution as . We then classify the solutions as follows.
- is an unstable solution because on either side of , does not converge to the same value from both sides.
- is a semi-stable solution because for , solutions tend toward the line , while for solutions diverge to negative infinity.
Step-by-step explanation:
The area of circle with radius 4cm is,
area of circle = π r *r = 3.14 * 4 * 4
= approx 50.27
The area of circle with radius 2cm is,
area of circle = π * r * r = 3.14 * 2 * 2
= approx 12.57
The circles are concentric means they have a common Centre, so,
Area between the two circles = area of bigger circle - area of smaller circle
= 50.27 - 12.57
= 37. 7 sq. cm
Answer:
The ratio is
Step-by-step explanation:
We have
Answer:
Step-by-step explanation:
- Initial amount that was received from the garage sale = x
- Spent on bicycle = 1/2x
- Spent on portable stereo set = 1/2(1/2x) = 1/4x
<u>Money left: </u>
- 1/2x - 1/4x = 80
- 1/4x = 80
- x = 4*80
- x = 320
Initial amount was $320
Correct choice is B
1/9 + 1/3 = 1/9 + 3/9 = 4/9