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Determine whether the Fundamental Theorem of Line Integrals (FTLI) can be used to evaluate (2x-ysinx) dx + (2x+cosx)dy), where is parametrized by the function r(t)= (t3.et) for Ostsl O a. Yes, the FTLI is valid for this integral. O b. No, we cannot use the FTLI since we don't know enough about C O c. No, we cannot use the FTLI since the function is not conservative. O d. No, we cannot use the FTLI since C is not a closed curve. Oe. No, we cannot use the FTLI since this is not a vector line integral.

Determine whether the Fundamental Theorem of Line Integrals (FTLI) can be used to evaluate (2x-ysinx) dx + (2x+cosx)dy), where is parametrized by the function r(t)= (t3.et) for Ostsl O a. Yes, the FTLI is valid for this integral. O b. No, we cannot use the FTLI since we don't know enough about C O c. No, we cannot use the FTLI since the function is not conservative. O d. No, we cannot use the FTLI since C is not a closed curve. Oe. No, we cannot use the FTLI since this is not a vector line integral.

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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QUESTION 8 Determine whether the Fundamental Theorem of Line Integrals (FTLI) can be used to evaluate parametrized by the function r(t)= (t3,e> for Ostsl O a. Yes, the FTLI is valid for this integral. O b. No, we cannot use the FTLI since we don't know enough about C O c. No, we cannot use the FTLI since the function is not conservative. O d. No, we cannot use the FTLI since Cis not a closed curve. Oe. No, we cannot use the FTLI since this is not a vector line integral. √(2x-) -ysinx) dx + (2x+cosx)dy), where cis
Transcribed Image Text:QUESTION 8 Determine whether the Fundamental Theorem of Line Integrals (FTLI) can be used to evaluate parametrized by the function r(t)= (t3,e> for Ostsl O a. Yes, the FTLI is valid for this integral. O b. No, we cannot use the FTLI since we don't know enough about C O c. No, we cannot use the FTLI since the function is not conservative. O d. No, we cannot use the FTLI since Cis not a closed curve. Oe. No, we cannot use the FTLI since this is not a vector line integral. √(2x-) -ysinx) dx + (2x+cosx)dy), where cis
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