Answer:
3/5
Step-by-step explanation:
The range of the cosine function is [-1, 1]. Since √41/5 is greater than 1, we eliminate answers a) and b) immediately.
If this angle lies in Quadrant IV, the "adjacent side" is positive. Thus, the cosine of this angle must be 3/5.
Answer:1797.3
Step-by-step explanation:
The answer should be -14/16
Answer:
- f'(1) exists: f'(1) = -2
- f'(0) DNE
Step-by-step explanation:
<h3>a)</h3>
The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...
f'(x) = -2x . . . . . for x > 0
Then at x = 1, the derivative is ...
f'(1) = -2(1)
f'(1) = -2
__
<h3>b)</h3>
The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.
Answer:

Step-by-step explanation:
First, we change both denominators to the LCM (lowest common multiple) which is 8.

Since the denominators are the same, we can add the numerators.


or it can be written as
