12 5) a) Find the location of point B on f (x) =x² + 4 to create the 10 minimum distance between B and A = (0,7). b) Find the equation of the tangent to f(x) at point B. c) What is the relationship between the slope of the tangent line with the line segment BA Note: if there is more than one closest point, identify them both for part a but just select one to use for parts B and C. Diagram is for reference and does not indicate the value of B.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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12
5) a) Find the location of point B on f (x) = ;x² + 4 to create the
10
minimum distance between B and A = (0,7).
b) Find the equation of the tangent to f (x) at point B.
c) What is the relationship between the slope of the tangent line
with the line segment BA
Note: if there is more than one closest point, identify them both for part a but
just select one to use for parts B and C. Diagram is for reference and does not indicate the value of B.
Transcribed Image Text:12 5) a) Find the location of point B on f (x) = ;x² + 4 to create the 10 minimum distance between B and A = (0,7). b) Find the equation of the tangent to f (x) at point B. c) What is the relationship between the slope of the tangent line with the line segment BA Note: if there is more than one closest point, identify them both for part a but just select one to use for parts B and C. Diagram is for reference and does not indicate the value of B.
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