: ρ = 6cosec(φ) S: in cartesian coordinates: x12+x22=36 (a)Provide a sketch of the surface S on the axes ρ, θ, φ (b)Provide a sketch of the surface corresponding to S obtained in (4a) above, in cartesian coordinates x1, x2, x3

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Q: n spherical coordinates ρ, θ, φ consider the surface S: ρ = 6cosec (φ). (a)Determine the equation…

A: We will use the following equations to convert the spherical equation into a cartesian equation.  1)…

Q: Q4. Find an equation of a plane that contains the line x=t, y=1+2t, z=2-t.

A: We have to find the equation of plane .       According to our guidelines ,we cannot solve all…

Q: Q5 Sketch the surface whose equation is given by (2 – 2)° = (2x² + 4y°).

A: We will use basic of graph plotting.

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A: Given: The given parametric equations are as given below

Q: (3, –5) (i) Find polar coordinates (r, 0) of the point, where r (r, 0) = (|| (ii) Find polar…

A: In this question we will use basic of calculus i.e conversion of Cartesian coordinate to polar…

Q: 4. (Parametrizations) (a) line segment from (5,-2, 10) to (-6,-4,1) Find parametric equations for…

A: Use the given information.

Q: Tell whether each of the following questions is biased or fair. Why? a. What type of music do you…

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Q: For each equation of a surface given in cylindrical coordinates, sketch the surface and describe it…

A: Given: a) r = 7 b) θ =π2 c) z = 2

Q: Using this parametric equation: r(t) = Can you please help me find |r'(t)|

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Q: T: x² + 3y² = z+3₁ Consider the surface T with equation Identify the type of the quadric surface is…

A: Given: The general equation of a circle is defined as x2+y2=k, where k is a constant. The general…

Q: =        y =        z = t (b) Find the angle in degrees between the planes. Give your answer…

A: We have  x + y + z = 7 x + 2y + 2z = 7 Let vector a = <1,1,1> and b = <1,2,2> Then cross…

Q: I really need help with this question

A:

Q: Find parametric equations for the line through (1,10,-3) perpendicular to the plane 10x+3y+5z=19.…

A: Solution=> A vector perpendicular to the plane ax+by+cz+d=0is given by (a,b,c) So a vector…

Q: 2 Consider the quadric surface S; + v + 1) – = 1 2 + (y + 1) %| 4 3 (a) Find an equation for the…

A: The trace of the function: f(x,y,z)=0 on the plane x=k is calculated by substituting x=k in the…

Q: Consider the surface in 3D described by the equation z = x2 + y² – 16. (You might want to start by…

A: We have to find the plane equation and graph

Q: x(t) = acos((a + b)t)       y(t) = acos((a − b)t) Use the GeoGebra tool to graph the parametric…

A: (1(1))   First of all, consider the given general equation x (t) and y (t). Substitute the values of…