The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the maximum speed around a turn is 3 inversely proportional to the square root of the curvature. A car moving on the path y = x3 (x and y are measured in miles) (1, -1/-). How fast can it go at (6/5, 72/125)? (Round your answer to two decimal places.) can safely go 30 miles per hour at mi/hr Nood Help? Road it

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...
Question
The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the maximum speed around a turn is
inversely proportional to the square root of the curvature. A car moving on the path y
1
=
+3
x³ (x and y are measured in miles)
can safely go 30 miles per hour at
(1₁, ½-).
How fast can it go at (6/5, 72/125)? (Round your answer to two decimal places.)
3
mi/hr
Nood Help?
Roar
Transcribed Image Text:The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the maximum speed around a turn is inversely proportional to the square root of the curvature. A car moving on the path y 1 = +3 x³ (x and y are measured in miles) can safely go 30 miles per hour at (1₁, ½-). How fast can it go at (6/5, 72/125)? (Round your answer to two decimal places.) 3 mi/hr Nood Help? Roar
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