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?Use Green's Theorem to evaluate. (Check the orientation \(\int_{c_{1}} F_{1} \cdot d
Chapter 14, Problem 15(choose chapter or problem)
Use Green's Theorem to evaluate. (Check the orientation \(\int_{c_{1}} F_{1} \cdot d r\) of the curve before applying the theorem.)
\(F(x, y)=\langle y \cos x-x y \sin x, x y+x \cos x\rangle\),
\(C\) is the triangle from (0, 0) to (0, 4) to (2, 0) to (0, 0)
Equation Transcription:
〈⟩
Text Transcription:
int_{C_1} F . dr
F(x, y) = left angle y cos x - x y sin x, x y + x cos x right angle
C
Questions & Answers
QUESTION:
Use Green's Theorem to evaluate. (Check the orientation \(\int_{c_{1}} F_{1} \cdot d r\) of the curve before applying the theorem.)
\(F(x, y)=\langle y \cos x-x y \sin x, x y+x \cos x\rangle\),
\(C\) is the triangle from (0, 0) to (0, 4) to (2, 0) to (0, 0)
Equation Transcription:
〈⟩
Text Transcription:
int_{C_1} F . dr
F(x, y) = left angle y cos x - x y sin x, x y + x cos x right angle
C
ANSWER:
Step 1 of 3
Consider the given triangle with points
Find the equation of line using the two points
Recall that the equation of line with two points and is given as
This gives the equation of line: