EXAMPLE 4If u = xoy + y²z5, where x = rset, y = rs2e-t, and z = 2s sin(t), find the value of du/ðs whenr = 2, s = 1, t = 0.SOLUTIONWith the help of the tree diagram in the figure, we haverstди дуду дsVideo Example )duди дхди дzasax dsaz əs+ (x6 + 2yz5)(2rse-t) +(5y²z*)(When r = 2, s = 1, and t = 0, we have x = 2, y = 2, and z = 0, sodu(2) + (64)(4) + (0)(0) =ds

Name: EXAMPLE 4If u = xoy + y²z5, where x = rset, y = rs2e-t, and z = 2s si
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Description: EXAMPLE 4If u = xoy + y²z5, where x = rset, y = rs2e-t, and z = 2s sin(t), find the value of du/ðs whenr = 2, s = 1, t = 0.SOLUTIONWith the help of the tree diagram in the figure, we haverstди дуду дsVideo Example )duди дхди дzasax dsaz əs+ (x6 + 2y

Answered: Image /qna-images/answer/9e00318d-efb7-4236-ba60-a317bedcde11.jpg

Math

Calculus

EXAMPLE 4 If u = x°y + y?z5, where x = rse', y = rs?e"t, and z = r?s sin(t), find the value of du/ðs when r= 2, s- 1, t= 0. SOLUTION With the help of the tree diagram in the figure, we have ди ди дх ди ду ди дг ay ds Video Example4) as ax as az as (ref) + (x6 + 2yz®)(2rse"t) + (5y²z*)( When r= 2, s = 1, and t = 0, we have x = 2, y = 2, and z = 0, so -(C )(2) + (64)(4) + (0)(0) =| ds

EXAMPLE 4 If u = x°y + y?z5, where x = rse', y = rs?e"t, and z = r?s sin(t), find the value of du/ðs when r= 2, s- 1, t= 0. SOLUTION With the help of the tree diagram in the figure, we have ди ди дх ди ду ди дг ay ds Video Example4) as ax as az as (ref) + (x6 + 2yz®)(2rse"t) + (5y²z*)( When r= 2, s = 1, and t = 0, we have x = 2, y = 2, and z = 0, so -(C )(2) + (64)(4) + (0)(0) =| ds

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.3: The Addition And Subtraction Formulas

Problem 71E

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