1. A car starts driving north 30 mile per hour from Station A. Two hours later, a truck starts driving west 45 miles per hour from Station B. Station B is 60 miles east of Station A. At what rate are the car and truck moving apart 5 hours after the car stars driving? y(t) N 30mph ↑ =Y'(H) A D(t) X(t) 600 miles B x'(+) = 45mph +=5hr, 2hr delay find ny potenuse, DCH) D(H)² = x(+)² + y(t) ² 2D(H) D'(t) = 2x(t) x' (t) +Zy(t)y' (t) when x(t) = 60 mi & y(t)

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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1. A car starts driving north 30 mile per hour from Station A. Two hours later, a truck starts driving west 45 miles per
hour from Station B. Station B is 60 miles east of Station A. At what rate are the car and truck moving apart 5
hours after the car stars driving?
N Y(+)
30mph ↑
= Y'(H)
O
A
D(t)
X(+)
60 miles
B
x'(+) = 45mph
+ = 5hr, 2hr delay
find ny potenuse, DCH)
D(+)² = X(+)² + y(H)²
2 D(H) D'(t) = 2x(t) x' (t) +Zy(t)y'(t)
when x(t) = 60 mi & y(t)
Transcribed Image Text:W 2 2->> 个 1. A car starts driving north 30 mile per hour from Station A. Two hours later, a truck starts driving west 45 miles per hour from Station B. Station B is 60 miles east of Station A. At what rate are the car and truck moving apart 5 hours after the car stars driving? N Y(+) 30mph ↑ = Y'(H) O A D(t) X(+) 60 miles B x'(+) = 45mph + = 5hr, 2hr delay find ny potenuse, DCH) D(+)² = X(+)² + y(H)² 2 D(H) D'(t) = 2x(t) x' (t) +Zy(t)y'(t) when x(t) = 60 mi & y(t)
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