Determine the line integral of the differential form (x + 3y²)dx – (-6xy + z)dy from points (1,0,3) to (0, -1,–1). A. 3/2 sq. units B. -3/2 sq. units C. 1/2 sq. units D. -1/2 sq. units

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

A: Topic - approximation Using derivatives

Q: (b) Solve the integral [(3x – y)dx +(2x +3y)dy along the curve x = y' from (0,0) to (1, 1).

A: Solution of question as follows

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Q: 19. Determine the line integral of the differential form (x + 3y²)dx − (−6xy+z)dy from points…

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Q: (a) Find the differential dy. y = 5 tan x dy = (b) Evaluate dy for the given values of x and dx. x =…

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Q: 19. Determine the line integralof the differential form (x + 3y²)dx – (-6xy + z)dy from points…

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Q: 3. Find the total differential of the ff. at (1, -1). f (x, y) = 3.x² + y² – xy %3D

A: Solution:Givenf(x,y)=3x2+y2-xyFormula:d(xn)=nxn-1

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V 3x – 2; from x = 2 to x…

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Q: (b) Solve the integral (3x– y)dx+(2x+3y)dy along the curve x = y' from (0,0) to (1, 1).

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