Consider the problem of determining, in an Oxy orthogonal Cartesian system, the equation of the straight r tangent to circumference 4 3 C:x² + y? = 5 P. at the point P = (-1,2) of this circle. The straight will have an equation of form -3 2 r: y – 2 = m(x + 1) Determine the value of m for which the line will meet a circumference at a single point, that is, it will be tangent to the circumference at point P. -3 3.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the problem of determining, in an Oxy orthogonal Cartesian
system, the equation of the straight r tangent to circumference
4
3
C:x² + y? = 5
P.
at the point P = (-1,2) of this circle. The straight will have
an equation of form
-3
2
r: y – 2 = m(x + 1)
Determine the value of m for which the line will meet a
circumference at a single point, that is, it will be tangent
to the circumference at point P.
-3
3.
Transcribed Image Text:Consider the problem of determining, in an Oxy orthogonal Cartesian system, the equation of the straight r tangent to circumference 4 3 C:x² + y? = 5 P. at the point P = (-1,2) of this circle. The straight will have an equation of form -3 2 r: y – 2 = m(x + 1) Determine the value of m for which the line will meet a circumference at a single point, that is, it will be tangent to the circumference at point P. -3 3.
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The objective is to determine the value of m for which the line will be tangent to the circumference at p. 

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