Answer:
The required mixed number is .
Step-by-step explanation:
Consider the provided information.
It is given that praying mantis at the right is 10.5 centimeters long.
We need to find the mixed number represents this length.
Mixed number: Mixed numbers are the numbers which consists an integer and a proper fraction part.
Now consider the provided length 10.5
10.5 can be written as: 10 + 0.5
Here 10 is an integer, now we just need to change 0.5 into fractional form so that we can have a mixed number.
0.5 can be written as:
Thus, the number is
Hence, the required mixed number is .
Answer:
f'(x) > 0 on and f'(x)<0 on
Step-by-step explanation:
1) To find and interval where any given function is increasing, the first derivative of its function must be greater than zero:
To find its decreasing interval :
2) Then let's find the critical point of this function:
2.2 Solving for x this equation, this will lead us to one critical point since x' is not defined for Real set, and x''≈0.37 for e≈2.72
3) Finally, check it out the critical point, i.e. f'(x) >0 and below f'(x)<0.
