Answer:
f(5) = 26.672 which is option D
Step-by-step explanation:
From question, f(1) = 2 and f'(x)=√(x^3 + 6)
f(5) = f(1) + (5,1)∫ f'(x) dx
Integrating using the boundary 5 and 1;
f(5) = 2 + (5,1)∫√(x^3 + 6) dx
f(5) = 2 + 24.672
So f(5) = 26.672
Answer:
-243, 729
Step-by-step explanation:
pattern is to multiply by -3 to get next number
Average rate of change of the function: 
Step-by-step explanation:
The average rate of change of a function f(x) can be calculated as:
where:
are the x-values of the interval taken into account to evaluate the rate of change of the function
are the values of the function at those points
In this problem, we have:
The function is 
, so
So, the average rate of change in this interval is:
Learn more about rates of change:
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Answer:
6x²-26x+31
Step-by-step explanation:
(x²-3x+5)(2x-7)
=2x³-7x²-6x²+21x+10x-35
=2x³-13x²+31x-35
Now to differentiate:
dx=6x²-26x+31
The number is -1.
5x+2 = x-2
X=-1
