**Problem Description:**A road perpendicular to a highway leads to a farmhouse located \( a = 1.3 \) km away.An automobile travels past the farmhouse at a speed of \( v = 83 \) km/h. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 3.1 km past the intersection of the highway and the road?Let \( l \) denote the distance between the automobile and the farmhouse, and let \( s \) denote the distance past the intersection of the highway and the road.*Note: Use decimal notation. Give your answer to three decimal places.***Diagram Description:**The diagram accompanying the problem shows:- A farmhouse located perpendicular to a highway at distance \( a = 1.3 \) km.- An automobile traveling along the highway with a speed \( v = 83 \) km/h.- The distance \( s \) represents how far the automobile is past the intersection of the highway and the road.- The distance \( l \) represents the hypotenuse of the right triangle formed by \( a \) and \( s \).**Mathematical Concept:**To find how fast the distance \( l \) is increasing when the automobile is 3.1 km past the intersection (i.e., \( s = 3.1 \) km).**Result Needed:**The speed of \( l \) at a given \( s \)-value: \( \boxed{\_\_\_\_\_\_\_\_\_\_\_\_\_} \) km/h.

Answered: Image /qna-images/answer/33798abe-5b22-4181-9178-b09ca3294ca7.jpg

A road perpendicular to a highway leads to a farmhouse located a = 1.3 km away. An automobile travels past the farmhouse at a speed of v = 83 km/h. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 3.1 km past the intersection of the highway and the road? Let I denote the distance between the automobile and the farmhouse, and let s denote the distance past the intersection of the highway and the road. v km/h Automobile (Use decimal notation. Give your answer to three decimal places.) speed of I at given s-value: km/h

A road perpendicular to a highway leads to a farmhouse located a = 1.3 km away. An automobile travels past the farmhouse at a speed of v = 83 km/h. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 3.1 km past the intersection of the highway and the road? Let I denote the distance between the automobile and the farmhouse, and let s denote the distance past the intersection of the highway and the road. v km/h Automobile (Use decimal notation. Give your answer to three decimal places.) speed of I at given s-value: km/h

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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