Final answer:
To find the values of x for which the slope of the curve y=f(x) is 0, we need to solve the equation f(x) = 0. We can do this by rearranging the given quadratic equation and using factoring, completing the square, or the quadratic formula to find the values of x.
Step-by-step explanation:
A slope of zero corresponds to a horizontal line. To find the values of x for which the slope of the curve y=f(x) is 0, we need to find the x-coordinates of the points where the curve crosses the x-axis, as these are the points where the slope is 0. In other words, we need to find the roots or solutions of the equation f(x) = 0.
We can rearrange the quadratic equation given in the question, which is x² + 0.00088x - 0.000484 = 0. We can use factoring, completing the square, or the quadratic formula to solve this equation for x. Once we find the values of x, these will be the values for which the slope of the curve y=f(x) is 0.