Surfoce S is a truncated porabolaid with a outwardly directed normal ond determined by and 2= x+y, 1L244 f (xy,2) = (Sy+ cos 2, 4x-sh2, 3cas2 + 2ysinz) inclu ding f. Tds Vas calcu late the indegral.

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Q: 29-32 Use double integration to find the area of the plane re- gion enclosed by the given curves. y…

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Q: 18. Ris the annulus in the first and second quadrants bounded by x +y² = 9 and x² + y = 36; 8(x, y)…

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Q: This under subject of Linear Algebra and Vector Analysis

A: Given : z=1-x2-y2             F ⇀ =z-yi^+x -zj^  +x-yk^ Verify : Stokes's Theorem

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Q: 4/ Find the area of the region enclosed between the curves y= cos 2x , y=0, x=T/4, x= T/2 ? ans/ 1/2…

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Q: integral Over the é dz Z-2 the Compute %3D Curve C below lm (2) Relz)

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A: Area of the bounded by the curve : If y=f(x) be an continuous function on a,b , then the Area…

Q: 4/ Find the area of the region enclosed between the curves y= cos 2x , y=0, x=TT/4, x= TT/2 ? ans/…

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Q: 11. What is the symmetric equation of the normal line to the ellipsoid x? + 2y? + 32 = 6 at P(1,1,…

A: solution:  Given  ellipsoid⇒x2+2y2+3z2=6at point(1,1,1)let f(x,y,z)=x2+2y2+3z2-6

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A: If you like the solution then please give it a thumbs up.... The Answer is:              S =…

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A: Angle between two normal vectors a and b is  θ=cos-1±a·b

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. xy2 dx…

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Q: 13. Let n be the outer unit normal of the elliptical shell S: 4x + 9y? + 36z? = 36, z > 0, and let F…

A: According to the given information, it is required to find the value of the integral.

Q: 4/ Find the area of the region enclosed between the curves y= cos 2x , y=0, x=TT/4, x= TT/2 ? ans/…

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Q: Using Green's theorem in the plane, evaluate (x'y dy - x²y dx), where C is the triangle with…

A: As we know that; The Green's theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydxdy Given: I=∫Cx3y2dy-x2y3dx So,…

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Q: ) feas)= over the region in the 1 quadrant bounded by %3D the hes y=X メニ2. ノY=」

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Q: 15. Let F(x, y, z) = (-y, x, -z) and let S denote the parabaloid z = 1 – x² – y² with z 2 0. Verify…

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Q: Find and shade the area to the left of cach positive z value. Given Curve 1. C-0.9s 2. z= 1.47

A: As per company guidelines I solved exactly three subparts of the question.thank you

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Q: Find the average value of the function f (x, y) Vx2 + y²over the region bounded by the polar curve "…

A: f(x, y) = x2+y2 = r=&gt;  f = r  = sin2θ 0 ≤ θ ≤ π/2

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Q: Using Green's theorem in the plane, evaluate $ (ry² dy - x²y* dx). where C is the triangle with…

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