Let f(x, y, z) = In (x² + y + z²). The level surface f(x, y, z) = In 4 is a: Elliptical cone around y – axis. Paraboloid around y – axis. This option This option Paraboloid around z - axis. Circular cone around y – axis. O This option O This option

Q: De termine an equanion for the line of intersechon of the following planes 3x+2y +5z = 4 and 4x-3y…

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Q: Let 6. 21 2 V2 = 4 9 For what value of h is y in the plane spanned by vj and v2? h =

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Q: HW Find the valume af theSelid beunded abave the Planc 2= x+2y+2,belw the X-y plane and Taterally…

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Q: Let the surface S: x + y? +z? - 14x – 7y + 14 = 0. Which of the following is true? 3/39 O A.S is a…

A: Given The surface equation is S: x2+y2+z2-14x-7y+14=0 .

Q: (3, 4, 2), (–2, 1,0), (0, 2, 1).

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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: Verify Green's theorem for F =, where C is the part of the parabola y = x², and the line y = 4 for…

A: If be a positively oriented,  closed curve  enclosing the region D Then for a vector field F→=P,Q…

Q: n electric charge is so distributed that the electric potential at all points on an imaginary…

A: We can solve the equation.

Q: (57) Find the perimeter of rectangle WXYZ with coordinates W(3, 7), X(3, -1), Y(6, -1), and Z(6, 7).

A: Please see the below picture for detailed solution.

Q: I. Use the Divergence Theorem: (² F. ds = Ifv. Fav SSS E = to calculate the flux of the field F…

A: Divergence theorem uses  Double integration converts into triple integration.

Q: Find the point on the sphere x+ (y-4) +(z-9) 9 nearest to a. the xy-plane. b. the point (0, -9,9).…

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Q: Give another name for plane W

A: Plane :— Plane is a 2 - Dimensional space which is named by three Points.

Q: The distance between the point ( 9,8,3) and the plane x + y – 2z = 5 is .... %3D

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Q: Apply T (x, y) = (2x/3,2y/3) to the following pentagons: (a) vertices (3,-3), (3, 3), (0, 6), (–3,…

A: Now in T(x,y)=(2x/3,2y/3)=(x/1.5 ,y/1.5) so by apply T(x,y) we are expecting that our pentagons area…

Q: 2. Consider the curve C generated from the intersection of the Plane x+y+22=2 2 and the Paraboloid…

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Q: The sphere of radius 2 centered at (0,0,1) is pictured below. Select the equation which best…

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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: An electric charge is so distributed that the electric potential at all points on an imaginary…

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Q: Let the center of Earth be located at the origin of a sphere O(0, 0, 0), with the positive z-axis…

A: City is located at 36.78°N and 124.44°W. Assume the radius of Earth is 4000 mi.To Find: Express the…

Q: Зу — 2z 3D 6

A: Use a graphing utility to plot the plane, 3y-2z=6 .

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

A: This problem is from analytical geometry. To solve this problem I have used distance formulas.

Q: For each surface (u, v), identify the shape of the grid curves when v is constant. Some shapes may…

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Q: Find the equation of the plane containing the point P(1, 1, –1) and the line -4+t 1- t 1+t

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Q: Consider the point P(1, 2,1) and the plane X – y + 2z = 4. a. Use projections to find the distance…

A: It is given that

Q: I² 2-1 Consider the function f(x, y, z): Determine an expression for the domain. Sketch the…

A: Domain is the set of points where f is defined.

Q: Find the sum of the infinite geometric series 4 8 + 9 27 2 3 - - 16 81 +.

A: A sequence is a set of numbers that has a particular order or obeys a general form. The series is…