r4–x²-y² x²y dz dx dy /2-y² Jx²+y² x² + y² by converting to cylindrical coordinates.
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A: topic - derivatives
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A: As per the guidelines I can solve only first question. I request you to kindly repost second…
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A: We have to find the cylindrical equation for the given equation
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A: Here we will evaluate the required value.
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A: This question is related to coordinate system. We will solve it using given information.
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A: Given, ∫-33∫-9-x29-x2∫09-x2-y2x2dzdydx=
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Q: Q.1 Use cylindrical coordinates to evaluate (x+y )dzdxdy
A: ∫-11∫01-y2∫0xx2+y2dzdxdy =∫-11∫01-y2∫0xdzx2+y2dxdy=∫-11∫01-y2z0xx2+y2dxdy=∫-11∫01-y2xx2+y2dxdy…
Q: Find a parametric representation of the solution set of the linear equation.x + y + z = 1
A: Consider the given linear equation x + y + z = 1 We have one equation and three unknown(x, y, z).…
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Q: Match the surface to its corresponding equation in cylindrical coordinates. 37 4 4 - 2 4z 2 r2 = 3z…
A: Diagram C : θ=3π4 Diagram B: r2=4-z2
Q: Using cylindrical coordinates, evaluate the triple integral 9--y 1-SS. S. V+y° dz dy de
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Q: Use cylindrical coordinates. Evaluate (x - y) dV, where E is the solid that lies between the…
A: Given that The triple integral The cylinders are x^2+y^1=1 and x^2+y^2=49 Plane z=y+7 To evaluate…
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Q: dx dy, where D is the disk x2 + y² < 9. (x² + y?)3/2 Evaluate
A: The given integral is,
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A: Given:
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A: Let's find.
Q: Vi-x² 2-x²-y² Change Vr +y² dz dy dx into cylindrical coordinates, then evaluate.
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A: Since you have asked multiple question ,as per company guidelines we will solve first tquestion for…
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A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: 2 V4-x Convert the triple integral | xdzdydx to cylindrical coordinates. (Don't evaluate.) x*+y
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Q: 它们也称 Use spherical coordinate to evaluate Vr² + y² + z² dz dy dx. 0,
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Q: Use cylindrical coordinates. Evaluate II 5(x3 + xy2) dv, where E is the solid in the first octant…
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Q: Find a parametric function for the intersection of r – 3y + 4z = 0 and a? + y² = 9.
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A: In cylindrical coordinates x=r cosθy=r sin θz=zalsox2+y2=r2dzdxdy=r dzdrdθ
Q: Use cylindrical coordinates. Evaluate (x - y) dV, where E is the solid that lies between the…
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- Find an equation of the form z = f (r, θ ) in cylindrical coordinates for z^2 = x^2 − y^2.Convert to cylindrical coordinate. 1. z = x2 + y2Use cylindrical coordinates.Evaluate the triple intergral 5(x3 + xy2) dV, where E is the solid in the first octant that lies beneath the paraboloid z = 4 − x2 − y2.
- Use spherical coordinates to evaluate the triple integral ∫∫∫Ex^2+y^2+z^2dV, where E is the ball: x^2+y^2+z^2≤49.Given the two planes 2z - x - y = 0 and z + y - x - 1 = 0. Find a parametric equation for theintersection.find an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces. x2 + y2 = 4
- Find a point on the ellipsoid x2 + 4y2 + z2 = 9 where the tangent plane is perpendicular to the line with parametric equations x = 2 − 4t, y = 1 + 8t, and z = 3 − 2tHow can I find the centroid of y2= 4x, y = 2x, using only solving for the equations Mx, My, and A. Mx = 1/2(integral a,b) y2dx My = (integral a,b) xy dx A = (integral a,b) y dxFind the circulation of fluid motion F⃑(x, y) = xi⃑ − xyj⃑ along positively oriented ellipse x2 + 4y2 = 4.