The answer is 266 but estimated is 260
To find the mean, add up at the numbers and divide by the number of numbers in the set (6)
9 + 4 + 7 + 3 + 10 + 9 =
9 + 11 + 12 + 10
20 + 22
42
42 / 6 = 7
the mean is 7.
Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
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I believe it would be 2 units to the right
and 4 units down
Answer:
131.88 centimeters
Step-by-step explanation:
diameter = radius*2
radius = 21
circumference =2*π*r
2*3.14*21= 131.88 centimeters
