Answer:
4. obtuse
5. obtuse
6. acute
7. acute
8. obtuse
Step-by-step explanation:
4. This angle is greater than a right angle (because it extends farther than one), so this is obtuse.
5. This angle is greater than a right angle, so this is obtuse.
6. This angle is smaller than a right angle (because it extends less than one), so this is acute.
7. This angle is smaller than a right angle, so this is acute.
8. This angle is greater than a right angle, so this is obtuse.
Answer:
Mark a circle with point A in the center
Make two points across from each othe at the top and bottom of the circle. Mark them as B, C, D, and E
Connect the point B, C, D, and E using line segments
In order to be differentiable everywhere, must first be continuous everywhere, which means the limits from either side as must be the same and equal to . By definition, , and
so we need to have .
For to be differentiable at , the derivative needs to be continuous at , i.e.
We then need to have
Then