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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
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<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: Mean = 204.6 , Median = 195 and mode =195
Step-by-step explanation:
The given data for Winona’s bowling scores for the past nine weeks : 195, 180, 195, 212, 208, 231, 179, 246, 195.
The formula to find Mean is given by :-
For median , first we arrange data values in order as
179, 180, 195, 195, 195, 208, 212, 231, 246
Since the number of data values is 9 (odd).
∴ Median = Middle most data value = 195
Also, Mode = Most occurring data value = 195