A point moves on the hyperbola x2 − 4y2 = 36 in such a way that the x coordinate increases at a constant rate of 20 units per second. How fast is the y coordinate changing at the point (10, 4)? a. 50 units/sec c. 12.5 units/sec b. 10.25 units/sec d. 0.625 units/sec

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 60E
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50. A point moves on the hyperbola x2 − 4y2 = 36 in such a way that the x coordinate increases at a constant rate of 20 units per second. How fast is the y coordinate changing at the point (10, 4)?

a. 50 units/sec c. 12.5 units/sec b. 10.25 units/sec d. 0.625 units/sec

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