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Part B
Find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit
you found in part A.

the equation in part A is x^3-4x^2+2 and when x=3 y=-7 so, (3,-7) is the point the equation for part B needs to pass through

Respuesta :

The linear equation that has a slope of -7 and crosses the x-axis at (3, 0) is:

y =  -7x + 21

How to find the linear equation?

A general linear equation is:

y = a*x +b

Where a is the slope and b is the y-intercept.

The slope must be equal to the limit found in part a, and you say that it is equal to -7, so the slope is -7. And for how is written the problem, I understand that it crosses the x-axis at x = 3.

Then we will have:

y = -7*x + b

Such that, when x = 3, y = 0, then:

0 = -7*3 + b

21 = b

Then the linear equation is y = -7x + 21

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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