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(a) Find the slope of the tangent line to the parabola y = x + 7x at the point (-2, -10) by using the following
(a) Find the slope of the tangent line to the parabola y = x + 7x at the point (-2, -10) by using the following parameters. (i) The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m = lim - n f(x) - f(a) m = x -a x - a - provided that this limit exists. (ii) The expression of slope is m = lim _(a + h) - f(a) h - 0 h m = (b) Find an equation of the tangent line in part (a). (c) Graph the parabola and the tangent line. As a check on your work, zoom in toward the point (-2, -10) until the parabola and the tangent line are indistinguishable. 20 10 y 10 10 51 204 -10 X -5 10/ -5 -10 X 5 10 5 -10 -5 X 5 -10 -5 X -10 -10 5 10 O -20 10 -10/ -15 -15 -20Consider the following curve. 2 y = 3X 9x + 1 Find the slope m of the tangent line at the point (4, 13). \"1:: Find an equation of the tangent line to the curve at the point (4, 13)
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