1. Calculate y³ $ £ (-2² - sinz) dz + ( + v) ds. + dx dy, 3 3 where C is the circle of radius 1 centered at (0,0) oriented counterclockwise.

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A: Given data:     The given differentiable equation is: .   The expression for the linear…

Q: Evaluate cosh(72) dz, C the line along the imaginary axis from to 2i. cosh(72) dz

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Q: (d) § (Vx+sinx) dx

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Q: Evaluate (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 3

A: To solve the line integral ∫(2x - y)dx + (x + 8y)dy over the curve C, which is the x-axis segment…

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A: Given that the osculating circle  y = x

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Q: 1. Graph the line using parametric equations from t = 2 tot = 6. x = 10 – 2t, y = 3 – ÷t

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Q: dy Write an equation for dx on the ellipse y = y² + x2 3, showing ALL - your work. Then find the…

A: We differentiate both sides with respect to x and then solve for dy/dx.

Q: 33. Find the directrix. (y- 9)2 - 8 O y = -9 O y = -7 O x = -7 | x = -9

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Q: Evaluate o y dx – x³ dy, where C includes the two circles of radius 2 and radius 1 centered at the…

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