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Exercise 14.5.1 dz for the the following functions To calculate z = f(x, y) = 2 – 3ry + 2y? I = r(t) = 3 sin 2t, y = y(t) = 4 cos 2t %3| first calculate: dz az dy dz dy dt Then use the formula above to find the derivative in terms of r, y, and t: dz dt Finally, substitute expressions for z and y to write the final answer in terms of t: dt

Exercise 14.5.1 dz for the the following functions To calculate z = f(x, y) = 2 – 3ry + 2y? I = r(t) = 3 sin 2t, y = y(t) = 4 cos 2t %3| first calculate: dz az dy dz dy dt Then use the formula above to find the derivative in terms of r, y, and t: dz dt Finally, substitute expressions for z and y to write the final answer in terms of t: dt

Trigonometry (MindTap Course List)
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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Exercise 14.5.1 dz for the the following functions To calculate z = f(x, y) = 2 – 3ry + 2y? I = r(t) = 3 sin 2t, y = y(t) = 4 cos 2t %3| first calculate: dz az dy dz dy dt Then use the formula above to find the derivative in terms of r, y, and t: dz dt Finally, substitute expressions for z and y to write the final answer in terms of t: dt
Transcribed Image Text:Exercise 14.5.1 dz for the the following functions To calculate z = f(x, y) = 2 – 3ry + 2y? I = r(t) = 3 sin 2t, y = y(t) = 4 cos 2t %3| first calculate: dz az dy dz dy dt Then use the formula above to find the derivative in terms of r, y, and t: dz dt Finally, substitute expressions for z and y to write the final answer in terms of t: dt
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