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An object is moving along the parabola y² = 18(13 - x). When the object is at the point (-1,6√7), its y-coordinate is increasing at a rate of 9 units per second. How fast is the distance from the object to the origin changing at that instant? (Use decimal notation. Give your answer to three decimal places.) dD dt units/s

An object is moving along the parabola y² = 18(13 - x). When the object is at the point (-1,6√7), its y-coordinate is increasing at a rate of 9 units per second. How fast is the distance from the object to the origin changing at that instant? (Use decimal notation. Give your answer to three decimal places.) dD dt units/s

Advanced Engineering Mathematics
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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An object is moving along the parabola y² = 18(13 – x). When the object is at the point (-1,6√√7), its y-coordinate is increasing at a rate of 9 units per second. How fast is the distance from the object to the origin changing at that instant? (Use decimal notation. Give your answer to three decimal places.) dD dt ≈ ܐܐ units/s
Transcribed Image Text:An object is moving along the parabola y² = 18(13 – x). When the object is at the point (-1,6√√7), its y-coordinate is increasing at a rate of 9 units per second. How fast is the distance from the object to the origin changing at that instant? (Use decimal notation. Give your answer to three decimal places.) dD dt ≈ ܐܐ units/s
Find the limit. (Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) lim (5x(e8/x - 1)) X→∞ 0
Transcribed Image Text:Find the limit. (Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) lim (5x(e8/x - 1)) X→∞ 0
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