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On the curve y = x2 + 1, point Q has the coordinates (1.3, 2.69). Estimate the slope of the curve at point Q by taking values very close to the x-coordinate of Q.

Respuesta :

Answer:

Slope = 2.6

Explanations:

The formula for calculating the slope of the line on the curve is expressed as:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using the coordinate points B(1.266,2.606) and C(1.366, 2.866) as shown on the graph

[tex]\begin{gathered} slope=\frac{2.866-2.606}{1.366-1.266} \\ slope=\frac{0.26}{0.1} \\ slope\approx2.6 \end{gathered}[/tex]

Hence the slope of the curve at point Q by taking values very close to the x-coordinate of Q is 2.6

Ver imagen JasibeY687202

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