Answer:
The fifth degree Taylor polynomial of g(x) is increasing around x=-1
Step-by-step explanation:
Yes, you can do the derivative of the fifth degree Taylor polynomial, but notice that its derivative evaluated at x =-1 will give zero for all its terms except for the one of first order, so the calculation becomes simple:
and when you do its derivative:
1) the constant term renders zero,
2) the following term (term of order 1, the linear term) renders: 
since the derivative of (x+1) is one,
3) all other terms will keep at least one factor (x+1) in their derivative, and this evaluated at x = -1 will render zero
Therefore, the only term that would give you something different from zero once evaluated at x = -1 is the derivative of that linear term. and that only non-zero term is: 
as per the information given. Therefore, the function has derivative larger than zero, then it is increasing in the vicinity of x = -1
Answer:
Work done is the product of distance and force, it is measured in joules.
Power is the rate of work done given by dividing the work done by time
Power (watts)= workdone (J)/ time (s)
= 50,000J/7 sec
= 7142.857 watts
Therefore, the power of the car during the race was 7142.857 watts
Step-by-step explanation:
The area of the sector, when the measure of the central angle is in radians, can be solved using this equation:
A = (n/2) r²
From the given values,
A = (π/6/2) (10²)
A = 25π/6 = 26.18 in²
Therefore, the area of the sector with the central angle measuring π/6 with the radius of the circle 10 inches is 26.18 in²
I would say choice A
but im not absolutely sure
Given that, a bike wheel is 26 inches in diameter.
We need to convert bike wheel's diameter in millimeters .
Since, 1 inch = 25.4 millimeters.
So, to convert 26 into mm we need to multiply 26 each sides of this identity to convert this into mm. Hence,
1*26 inch = 25.4 * 26 mm.
So, 26 inches = 660.4 mm.
So, the bike wheel's diameter is 660.4 millimeters.
Hope this helps you!
