Use Green's Theorem to evaluate Calculator Jo F =√x + 5y, 2x + 5y) C is the boundary of the region enclosed by y = 3x Check Answer Fnds, where x² and the x-axis (oriented positively).

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Q: +7x-3)+e 2m (2) The value of f sin(5x) cos(3x). dx= A) 1 (3) To evaluate f √x²-49 X (4) The value of…

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Q: Find y' if tan¯¹(xy) = 1 + x²y.

A: Formula used ddxtan-1( x ) = 11 + x2ddx( u.v ) = udvdx + vdudxddx( xn ) = nxn-1

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Q: 7. Evaluate TIE F.ds,

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Q: Given: = x² + xy², x = uvª +w³, y = u + vew dz dw Find when u = € – 3, v = − 1, w=0 Question Help:…

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Q: Find the surface area of the helicoid (spiral ramp) with vector equation r(u, v) = = (u cos v, u sin…

A: ∫a2+x2 dx = xa2+x22+12sinh-1(x) .

Q: Find the curl of the vector field F = curl F = 2+ j+ 18 k

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Q: 4. Numerical Methods. Using 4th Order Runge-Kutta method and a step value of 0.2, determine the…

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Q: 1. Graph the polar equation r = 1-2 cos(0) on the below curve न 5T 7K 6 37 5 T 23 4T w K|N 2 37 to 2…

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A: NOTE: Refresh your page if you can't see any equations. . the area of the cylinder is given by the…

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Q: 1. y = 2x from x = 0 to 10 6. y = 9x² from x = - 0 to 3

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Q: 5) Consider the curve given by the equation y³ + 3xy+13=0 a) Find dy/dx. b) Write the equation for…

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Q: Question 25 Graph the function labeling all key points and asymptotes.. y = -2 tan r 4

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Q: Find the extreme values of f(x,y) = 4x+6y subject to the constraint x² + y² = 13. www OA. The…

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Q: (3) csc (3x) dx = A) In csc (3x) + cot (3x)| + C C)-In |csc (3x) - cot (3x)| + C B) - In |csc (3x) +…

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Q: Find zdy + yda, where C is the arc of the curve y = e² for 0 ≤ x ≤1

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Q: he = = = du 00 r cos 0 cos oT + r cos sin ój-r sin OF or

A: hθ=|rcosθcosϕi+rcosθsinϕj-rsinθk|

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Q: If g(x) is continuous on [-2, 8] and what is the average value of the function g(x) on [-2,8]?…

A: if gx is continous on -2,8 and ∫-287gxdx=253

Q: 5. S (x²-5x+4) dx. Find the integral.

A: Given    ∫(x2 -5x +4)dx