2. The normal line to a graph of a function f(x) at a point x = a is the line that passes through (a, f(a)) and is perpendicular to the tangent line tof at r = a. Consider the parabola f(r) =1 – 4x + 3x2. The point (1,0) is on the parabola. (a) Calculate an equation for the tangent line to f at r = 1. You are allowed to use the power rule to calculate any derivatives you need. (b) Calculate an equation for the normal line to f at r = 1 (c) The normal line to f at x = 1 intersects f in another point outside of (1,0). Find this point.
2. The normal line to a graph of a function f(x) at a point x = a is the line that passes through (a, f(a)) and is perpendicular to the tangent line tof at r = a. Consider the parabola f(r) =1 – 4x + 3x2. The point (1,0) is on the parabola. (a) Calculate an equation for the tangent line to f at r = 1. You are allowed to use the power rule to calculate any derivatives you need. (b) Calculate an equation for the normal line to f at r = 1 (c) The normal line to f at x = 1 intersects f in another point outside of (1,0). Find this point.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
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![2. The normal line to a graph of a function f(x) at a point x = a is the line that passes through (a, f(a))
and is perpendicular to the tangent line to f at x a.
Consider the parabola f(a) =1 – 4x + 3x2. The point (1,0) is on the parabola.
(a) Calculate an equation for the tangent line to f at r = 1. You are allowed to use the power rule
to calculate any derivatives you need.
(b) Calculate an equation for the normal line to f at x = 1
(c) The normal line to f at x = 1 intersects f in another point outside of (1,0). Find this point.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F160fd351-17ca-4577-bffb-265c7021964b%2Fe5aa251e-2957-48b3-bcff-1e15e805a4ea%2F5pnmyxo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. The normal line to a graph of a function f(x) at a point x = a is the line that passes through (a, f(a))
and is perpendicular to the tangent line to f at x a.
Consider the parabola f(a) =1 – 4x + 3x2. The point (1,0) is on the parabola.
(a) Calculate an equation for the tangent line to f at r = 1. You are allowed to use the power rule
to calculate any derivatives you need.
(b) Calculate an equation for the normal line to f at x = 1
(c) The normal line to f at x = 1 intersects f in another point outside of (1,0). Find this point.
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