Answer:
Step-by-step explanation:
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We integrate the given equation such that,
integral of g(x) = (5/3)x³ - 9x² + 35x
Substituting,
x = 13
integral of g(x) = (5/3)(13³) - 9(13)² + 35(13)
= 2595.67
and, x = 0
integral of g(x) = 0
The area is 2595.67 - 0 = 2595.67
For the second part,
x = 1
integral of g(x) = (5/3)(1)³ - 9(1)² + 35(1)
= 27.67
Area under the curve between x = 0 and x = 1 is 27.67
The difference between the two areas is,
2595.67 - 27.67 = 2568.0
Answer: 2568.0 units squared
The line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.
<h3>What is the line of best fit?</h3>
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
First, we need to find the line of best fit:
Let's suppose the line of the best fit is:
y = mx + c
We can find the value of m:
and

After calculating, we will get:
m = 4.71
d = -30.31
y = 4.71x—30.31
Plug x = 9.5
y = 14.43 ≈ 14.5 oz
Thus, the line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.
Learn more about the line of best fit here:
brainly.com/question/14279419
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Answer:
8 18 16 27
Step-by-step explanation: