In this problem, consider the curve y = f(x) = x²-7x +1. (a) For any real number a, the formula for f' (a) = -2a+7 (b) The equation of the tangent line to the curve y=f(x) at the point P=(a,f(a)) is y=2a-7 x+1-a2 (c) There are two tangent lines to the curve y=f(x) with x-intercept 8. The x-coordinates of these two points of tangency (listed left to right) are: and

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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In this problem, consider the curve y = f(x) = x²-7x +1.
(a) For any real number a, the formula for f' (a) = -2a+7
(b) The equation of the tangent line to the curve y=f(x) at the point P=(a,f(a)) is
y=2a-7
x+1-a2
(c) There are two tangent lines to the curve y=f(x) with x-intercept 8. The x-coordinates of these two points of tangency (listed left to right) are:
and
Transcribed Image Text:In this problem, consider the curve y = f(x) = x²-7x +1. (a) For any real number a, the formula for f' (a) = -2a+7 (b) The equation of the tangent line to the curve y=f(x) at the point P=(a,f(a)) is y=2a-7 x+1-a2 (c) There are two tangent lines to the curve y=f(x) with x-intercept 8. The x-coordinates of these two points of tangency (listed left to right) are: and
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