Eind the line integrals ý (4'da - idy) about the Thriangle (0.3), (-4,0) whese verlics (1,0), arre

Q: Evaluate the line integral / Vxy° +3 dx +6xy" dy, where C any curve joining (1, -1) to (16, 1).

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Q: Evaluate the line integral -ydx + xdy along the curve C C : y? = 24x from (24, 24) to (0,0). NOTE:…

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Q: Show that the curve r= Vti + Vtj + (2t – 1)k is tangent to the surface x +y² – z = 1 when t=1

A: Given that r=ti+tj+2t-1k and f=x2+y2-z-1 Take the derivative for f, ∇f=ddx,ddy,ddzf=2x,2y,-1…

Q: 1 — х

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Q: Evaluate the line integral x¹ z ds, where C is the line segment from (0, 7, 5) to (7, 1, 2). C

A: We have to evaluate  where  is the line segment from  to

Q: for fx xy fy yx f(x,y)=3x³y² + 4(3x + 2y)³ find

A: Given function is fx,y=3x3y2+43x+2y5

Q: Evaluate the line integral x'z ds, where C is the line segment from (0, 5, 2) to (4, 6, 5).

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Q: Evaluate the line integral, where Cis the given space curve. xevz ds, C is the line segment from (0,…

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Q: Show that the line integral | 2.xe- dx + (2y – a²e¬") dy is independent of path and evaluate the…

A: Here we have to show that the given line integral is path independent and evaluate the line integral…

Q: = Jó 7xds where C consists of the arc C₁ of the parabola y 3x² from (0,0) to Compute the integral I…

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Q: Let C be the curve which is the union of two line segments, the first going from (0,0) to (1, 1) and…

A: Our objective is given below:

Q: Evaluate the line integral, where C is the given curve. (x + 9y) dx + x² dy, C consists of line…

A: To evaluate the line integral, consider the curveC1 consisting of the line segment from0,0to9,1. The…

Q: 3. Compute the line integral of the scalar function f(x, y, z)=x²-4y+2³ along the curve C = C₁ UC₂…

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Q: Evaluate the line integral where F y = 2x² from (-1, 2) to (2,8).

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Q: In whatever way you see fit, evaluate the line integral L(10xy-3y+21x dx+ (15xy=+6xyz*)dy+ (15xy='…

A: given line integral ∫c10xy3z3+3y2z3+21x2z2dx+15x2y2z3+6xyz3dy+15x2y3z2+9xy2z2+14x3zdz   ...i…

Q: Previous Problem List Next ‚ Let F = (6x²y + 2y³ + 7e²)i + (5ex² +54x) j. Consider the line integral…

A: Given, and consider the line integral of  around the circle of radius , centered at the origin and…

Q: x ds, where C is the portion of the parabola from (0,0) to (1, 1), followed by the line segment from…

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Q: y=x² from (0,0) to (1,1). | Compute the line integral of f(x)=2x over the curve 2009

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Q: What is the moment of inertia about the x-axis bounded by the curves y² = -16(x-4), the line 8x-15y…

A: here we have to find the moment of inertia about x axis so we can use integration to find this.

Q: Evaluate the indicated line integrals in the complex plane by direct integration. Siz dz along the…

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