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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Answer:
look up desmos and do it on there it helps alot
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
Determine a single event with a single outcome. ...
Identify the total number of outcomes that can occur. ...
Divide the number of events by the number of possible outcomes. ...
Determine each event you will calculate. ...
Calculate the probability of each event.
Steps to finding probaility ^
Let A and B represent the governor's salaries of states A and B, respectively.
A - B = 53,435
A +B = 290,395
Add these two equations to eliminate B.
2A = 343,830
A = 171,915
B = A -53,435 = 118,480
The governor of state A has a salary of 171,915.
The governor of state B has a salary of 118,480.
