7 Set & be the surface R gwen by in X = uV where Isusa y =y3 Evalvate: J Edxady +xdy adz

Q: Let S: x² + y² + z² + ax+by+cz= d be the sphere with radius r= 9 and centre on the z axis, with…

A: The sphere x2+y2+z2+ax+by+cz=d and has a radius 9 and center on the z axis with coordinate zc=4 To…

Q: The surface described by the conditions 2 + y? + z² = 4, x 0 is the same as the surface described…

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Q: Q2 Find an equation for the surface that contains all such points P that has equal distance to the…

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Q: Evaluate SfF.ds where F = (3xy², 3x²y, z³) and M M is the surface of the sphere of radius 3 centered…

A: We will use divergence theorem to find surface integral of given vector field  If region R bounded…

Q: Find the highest and lowest point of the surface z2 = x2 + y2 ,on the plane 4x – 3y + 8z = 10 %3D…

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Q: 1. Find the points on the surface a² +9y² +92² = 4 which are closest to and farthest from the point…

A: The given surface is x2+9y2+9z2=4 and point (0,2,0). To find the point which is closest to and…

Q: obne bolluesb Problems 6 through 9 involve equations of the form dy/dt = f(y). In each problem…

A: Given: A differential equation dydt=y21-y2. To Find:  a) Draw the graph of the fy vs y. b) Critical…

Q: calculate ∫Cy(x-z) ds, where C is the intersection of the surfaces x2+y2+z2=9 x+z=3

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Q: Consider the equation of the surface S given by -2X“ - yPz° + xy = -4, where a is an odd number and…

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Q: Which of the following quadratic surfaces describe an elliptic paraboloid shape ? OA. z = 2? – y² +…

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Q: A surface in R³ is defined by the equation 4z = x² + 4y“.

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Q: classify and sketch the following surfaces

A: Sketch of the surface:

Q: Which of the following is the coordinates of all points on the surface with equation z = x³-5xy¹…

A: To find the coordinates of all points on the surface where the surface has a horizontal plane, we…

Q: 3. Explain what is wrong with the following statement: If R,T are corresponding regions in the xy…

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Q: • Consider the surface given by the equation (r- 1)² + (y+3)2 - (z-2)² = 1. Which of the following…

A: We have to find y- intercept.

Q: xỉ + yj+zk. If ū

A: In the given question, the concept of curl is applied. Curl Curl is a vector operator in…

Q: Apply Gauss's theorem to evaluate. A

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Q: Identify and draw the following surfaces. 3. (x – 2)² + y² = 4 %3D

A: As it is a multiple type question , so I am solving just the 3rd one 3) Consider (x-2)2+y2 =…

Q: b) Find the angle between the surfaces x² + y² + ² = 19 and 2 = 2 x² + y²-7 at the point (3, 1, 3):

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Q: Calculate ff A.n ds If A = yi + 2xj – zk and S is a 2x + y = 6 plane surface in the first octane cut…

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Q: Evaluate [[[ =*dxcydz over the sphere x +y² +=² =1.

A: to find:- to evaluate the given integral.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.