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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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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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