Q: (c) dz dy dx
A: Let's find.
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A: Please see the below picture for detailed solution.
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A: Let us first analyse E to get the limit values of integration. We are given that E is the solid…
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Q: VI-y? rz²+y? I = f(x, y, z) dz dx dy.
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Q: 4-x² –y² b.) z dz dy dx -VI¬x² J /3x²+3y? from Cartesian coordinates to spherical coordinates.
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A: By using formulaes for change of integral from Cartesian to spherical
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A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: (c) Evaluate zdz dy dr using spherical coordinates.
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Q: Question 10 The r in cylindrical coordinates must be positive or zero. O True O False
A: Given - "The r in cylindrical coordinates must be positive or zero."
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A: Since you have asked multiple questions in single request so we will be answering only first…
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A: We have to represent a differential element.
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A: The volume element on conversion to spherical coordinates becomes dV = ρ2sinϕdρdϕdθ
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Q: (a) Express the following points in cylindrical and spherical coordinates: (i) P(l, -4, -3); and…
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Q: O Convert this Entegral From rectangular Coordinate to Spherical Coordina tes (Donot eval vate the…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
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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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A: For the cylindrical co-ordinate system: The value of Jacobian can be…
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Q: Use spherical coordinates. Evaluate (2 - x2 - y2) dV, where H is the solid hemisphere x2 + y? + z2 <…
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A: We have to find the value of given integral.
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- Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a orthocenter? b centroid?Convert the point (x,y,z)=(3,−1,−3) to spherical coordinates. Give answers as positive values, either as expressions, or decimals to one decimal place.Convert (r, θ , z) =(3, π/6 , 4)from cylindrical to spherical coordinates.
- In a right spherical triangle ABC, B=90°. Using Napier’s first rule, what is the simplified form of the equation for side AB?express the point (x,y,z) = (0,1,0) in spherical coordinates. Show full and complete procedureExpress the following points given in Cartesian coordinates in terms of spherical coordinates. (x, y, z): (1,0,0); (0,1,0); (0,0,1); (0,0,-1)
- Find the Cartesian coordinates (x,y,z) of a point in space such that its spherical coordinates (ρ,θ,φ) satisfies ρ=θ=φ. Plot this point. The answer is not unique.convert from rectangular to cylindrical coordinates. (3, 3√3, 2)Change from rectangular to cylindrical coordinates. (a) (0, −4, 6) (r, ?, z) = (b) (−9, 9 3 , 6) (r, ?, z) =