In the year 2005, the average cost of a car could be modeled by the equation C= -15x^2 + 20x - 3 where x is the number of years
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for the implicit integration I got:
the vertical tangent would at points at which y' goes to infinity.
that happen when the right-hand side has singularities, that is, the denominator is 0:
so the two points y above have a vertical tangent.
ANSWER:
STEP-BY-STEP EXPLANATION:
We have that the equation in its slope-intercept form is the following:
The slope can be calculated as follows:
We use the points (4,7) and (1,1) to calculate the slope:
Now, we calculate the value of b, using the point (1,1) and the slope, like this:
Therefore, the equation would be: