3rd one I think tho it may not be accurate
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
#SPJ1
Answer:
Solve the inequality. a + 5.7 > –2.3
(A)a > 3.4
(B)a > 8
(C)a > –3.4
<u>(D)a > –8</u>
Step-by-step explanation:
Answer:
3x - 14
Step-by-step explanation:
Perimeter = 2(length+width)
= 2[(½X-7) + (x)]
= 2[½x + x - 7]
= 2[1.5x - 7]
= 3x - 14
Answer:
acute, small, and 13•
Step-by-step explanation:
hope this helps^^
