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Problem 1: Phil is driving toward the intersection at a rate of 30km/h while along the perpendicular road through the intersection Lin drives away from the intersection at a rate of 50km/h. When Phil was already 4km from the intersection, Lin was already 3km from it. At this exact instant, how fast is the distance between the two changing? Are they getting closer to or getting farther from each other at this instant?

Problem 1: Phil is driving toward the intersection at a rate of 30km/h while along the perpendicular road through the intersection Lin drives away from the intersection at a rate of 50km/h. When Phil was already 4km from the intersection, Lin was already 3km from it. At this exact instant, how fast is the distance between the two changing? Are they getting closer to or getting farther from each other at this instant?

Calculus: Early Transcendentals
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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Topics: APPLICATION OF DERIVATIVES (Problem Solving)

Problem 1: Phil is driving toward the intersection at a rate of 30km/h while along the perpendicular road through the intersection Lin drives away from the intersection at a rate of 50km/h. When Phil was already 4km from the intersection, Lin was already 3km from it. At this exact instant, how fast is the distance between the two changing? Are they getting closer to or getting farther from each other at this instant? Problem 2: A water authority is filling an inverted conical water storage tower at a rate of 9 cubic feet per minute. The height of the tank is 80 feet and the radius at the top is 40 feet. How fast is the water level inside the tank changing when the water is 60 feet deep? (Use the formula of the volume of a cone).
Transcribed Image Text:Problem 1: Phil is driving toward the intersection at a rate of 30km/h while along the perpendicular road through the intersection Lin drives away from the intersection at a rate of 50km/h. When Phil was already 4km from the intersection, Lin was already 3km from it. At this exact instant, how fast is the distance between the two changing? Are they getting closer to or getting farther from each other at this instant? Problem 2: A water authority is filling an inverted conical water storage tower at a rate of 9 cubic feet per minute. The height of the tank is 80 feet and the radius at the top is 40 feet. How fast is the water level inside the tank changing when the water is 60 feet deep? (Use the formula of the volume of a cone).
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