(b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line is perpendicular to the tangent line (at a point ro). Hint 2: To find the equation of a line, you need its slope and a point on the line

(b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line is perpendicular to the tangent line (at a point ro). Hint 2: To find the equation of a line, you need its slope and a point on the line

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Question

solve 2b

1. Determine if
if r< 2,r +1
g(x)
I if r> 2
is differentiable at a = 2.
2. (a) Using the definition of derivative, compute for the slope of the line tangent to
f(x) = 2-4r+5 at z 1.
(b) Determine the equation of the line normal to f(r) = r – 4r + 5 at x = 1.
Hint 1: The normal line is perpendicular to the tangent line (at a point ro).
Hint 2: To find the equation of a line, you need its slope and a point on the line
3. (a) Suppose y is a differentiable function of r and is implicitly defined by the equation
[(2r + 1)(3r+ 1)1
(2² + 1)³
Tip
dz
y? + 25y + 25 =
Solve for
(b) What is the slope of the line tangent to the curve given by the equation in item
3a at the point (0,0)?

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