You are correct. The answer is choice DThe only way for g(x) to be differentiable at x = 0 is for two things to happen
(1) g(x) is continuous at x = 0
(2) g ' (x) is continuous at x = 0
To satisfy property (1) above, the value of b must be 1. This can be found by plugging x = 0 into each piece of the piecewise function and solving for b.
So the piecewise function becomes

after plugging in b = 1
--------------------------------
Now differentiate each piece with respect to x to get

The first piece of g ' (x) is always going to be equal to 1. The second piece is equal to zero when x = 0
Because -sin(x) = -sin(0) = 0
So there's this disconnect on g ' (x) meaning its not continuous
Therefore, the value b = 1 will not work.
So there are no values of b that work to satisfy property (1) and property (2) mentioned at the top.
Answer
Sorry, I need points to ask more question.
Answer:
1.75
Step-by-step explanation:
idk tbh
Answer:
0.006 is the probability that the record will be broken in next year.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 62 seconds
Standard Deviation, σ = 0.8 seconds
We are given that the distribution of face time is a bell shaped distribution that is a normal distribution.
Formula:
The record will be broken if the time is less than 60 seconds.
P(time is less than 60 seconds)
P(x < 60)
Calculation the value from standard normal z table, we have,

Thus, 0.006 is the probability that the record will be broken in next year.
Answer:
7.635
Step-by-step explanation:
1 1
|5| . |3| |4| |6|
+ |2| . |2| |8| |9|
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|7| . |6| |3|