1 8 (b) Determine the exact locations of the critical number of the function r(x) 3 х — 4

Calculus: Early Transcendentals
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Author:James Stewart
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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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8 (b) Determine the exact locations of the critical number of the function r(x)
х — 4
9. Two particles move in the plane along lines, and each particle moves with a constant
speed. Particle A moves along the line y
point (0, 0). Each second, particle A's x coordinate increases by exactly one unit. Meanwhile
particle B moves along the vertical line x =
known to be (4, 0). Each second, particle B's y coordinate increases by exactly 1/2 unit.
= x. At time t
O seconds, particle A is at the
4, and its position at time t
O seconds is
(a) Find a formula for how the distance D between the particles A & B depends on time t
(b) Calculate the exact value of t at which the distance D between the particles is at a
minimum.
Transcribed Image Text:3 8 (b) Determine the exact locations of the critical number of the function r(x) х — 4 9. Two particles move in the plane along lines, and each particle moves with a constant speed. Particle A moves along the line y point (0, 0). Each second, particle A's x coordinate increases by exactly one unit. Meanwhile particle B moves along the vertical line x = known to be (4, 0). Each second, particle B's y coordinate increases by exactly 1/2 unit. = x. At time t O seconds, particle A is at the 4, and its position at time t O seconds is (a) Find a formula for how the distance D between the particles A & B depends on time t (b) Calculate the exact value of t at which the distance D between the particles is at a minimum.
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