Find the value of the line integral [6xy dx + (3x² + 4y2)dy, where C is an ellipse 16 +25 = 1 from (4, 0) to (0, 5).(Hint: If F(x,y)=6xyi+(3x2+4y2)jis conservative, the integration may be easier on an alternate path.)O○ 1,0000O3O40م الما0 3560

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Find the value of the line integral 6xy dx + (3x² + 4y2)dy, where C is an ellipse 16 + = 1 from (4, 0) to (0,5) 25 (Hint: If F(x,y)=6xyi+(3x²+4y2)j is conservative, the integration may be easier on an alternate path.) 0 50000 O 1,000 3 O O 40 ماء الدا 0 356

Find the value of the line integral 6xy dx + (3x² + 4y2)dy, where C is an ellipse 16 + = 1 from (4, 0) to (0,5) 25 (Hint: If F(x,y)=6xyi+(3x²+4y2)j is conservative, the integration may be easier on an alternate path.) 0 50000 O 1,000 3 O O 40 ماء الدا 0 356

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 36CR

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Question

Find the value of the line integral [6xy dx + (3x² + 4y2)dy, where C is an ellipse 16 +25 = 1 from (4, 0) to (0, 5).
(Hint: If F(x,y)=6xyi+(3x2+4y2)j
is conservative, the integration may be easier on an alternate path.)
O
○ 1,0000
O
3
O
40
م الما
0 3560

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