Using partial derivatives, which one is equivalent to dz/dt, given z = x² + 3xy + 5y2; x = sin t, y = cost? O (2x + 3y)cos t+ (3x + 10y)sin t O (2x + 3y)sint+ (3x + 10y)cos t O (2x + 3y)sin t-(3x+10y)cos t O (2x + 3y)cos t-(3x+10y)sin t
Using partial derivatives, which one is equivalent to dz/dt, given z = x² + 3xy + 5y2; x = sin t, y = cost? O (2x + 3y)cos t+ (3x + 10y)sin t O (2x + 3y)sint+ (3x + 10y)cos t O (2x + 3y)sin t-(3x+10y)cos t O (2x + 3y)cos t-(3x+10y)sin t
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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![Question 1
Using partial derivatives, which one is equivalent to dz/dt, given z = x² + 3xy + 5y²; x = sin t, y = cos t?
O (2x + 3y)cos t+ (3x + 10y)sin t
O (2x + 3y)sint+ (3x + 10y)cos t
O (2x + 3y)sin t-(3x + 10y)cos t
O (2x + 3y)cos t-(3x + 10y)sin t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ea88882-4067-49de-8eff-eee3f6afc7f0%2F3a7cc750-3251-4056-a4f6-d82ef67fe48b%2Flu3c297_processed.png&w=3840&q=75)
Transcribed Image Text:Question 1
Using partial derivatives, which one is equivalent to dz/dt, given z = x² + 3xy + 5y²; x = sin t, y = cos t?
O (2x + 3y)cos t+ (3x + 10y)sin t
O (2x + 3y)sint+ (3x + 10y)cos t
O (2x + 3y)sin t-(3x + 10y)cos t
O (2x + 3y)cos t-(3x + 10y)sin t
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