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Two straight highways are perpendicular to each other. Car A is moving at 100 km/hr away from the intersection of the two roads, while car B is moving toward the intersection on the other road at 80 km/hr. If car B was 60 km from the intersection when car A left the intersection, how fast is the distance between them changing after 1/2 an hour? Enter your answer rounded to two decimal places. Do not include units.

Two straight highways are perpendicular to each other. Car A is moving at 100 km/hr away from the intersection of the two roads, while car B is moving toward the intersection on the other road at 80 km/hr. If car B was 60 km from the intersection when car A left the intersection, how fast is the distance between them changing after 1/2 an hour? Enter your answer rounded to two decimal places. Do not include units.

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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Two straight highways are perpendicular to each other. Car A is moving at 100 km/hr away from the intersection of the two roads, while car B is moving toward the intersection on the other road at 80 km/hr. If car B was 60 km from the intersection when car A left the intersection, how fast is the distance between them changing after 1/2 an hour? Enter your answer rounded to two decimal places. Do not include units.
Transcribed Image Text:Two straight highways are perpendicular to each other. Car A is moving at 100 km/hr away from the intersection of the two roads, while car B is moving toward the intersection on the other road at 80 km/hr. If car B was 60 km from the intersection when car A left the intersection, how fast is the distance between them changing after 1/2 an hour? Enter your answer rounded to two decimal places. Do not include units.
Sand is pouring from a spout at the rate of 2 m³/minute and falling on a conical pile whose diamter at the base is always three time the altitude. At what rate is the altitude increasing at the instant when the altitude is 6 m? Enter your answer rounded to 4 decimal places (for example in the form 0.1234). Do not include units.
Transcribed Image Text:Sand is pouring from a spout at the rate of 2 m³/minute and falling on a conical pile whose diamter at the base is always three time the altitude. At what rate is the altitude increasing at the instant when the altitude is 6 m? Enter your answer rounded to 4 decimal places (for example in the form 0.1234). Do not include units.
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