4) Classify the following as parametric or rectangular, and explain why: y=--5

Q: Explain how spherical coordinates are used to describe a point in ℝ3.

A:

Q: Convert the following point from cylindrical to rectangular coordinates: 11T ,4.5 6 10,

A:

Q: Consider the spherical coordinate point (3,1,) Convert to cylindrical coordinates.

A: we have the spherical coordinate point and convert into cylindrical coordinates

Q: osen y

A: Is it sen y =x

Q: Eliminate the parameter to write the parametric equations as a Cartesian equation. If x(t) = 3t – 2,…

A:

Q: What are the rectangular coordinates of the point whose spherical coordinates are (1, ½π, π) ? x = Y…

A:

Q: Convert the coordinates as indicated (3,TT/3, -4) from Cylindrical to Cartesian.

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Q: Sketch the following polar rectangle. 2x = {(r,0): 4sr5,

A:

Q: State the formulas for converting rectangular to spherical coordinates.

A: Converting rectangular to spherical coordinates.

Q: Convert the following quadric surface into spherical coordinates.

A: Convert the quadric surface into spherical coordinates.

Q: Cannot solve

A: To convert rectangular equation into polar equation put x = r cosθ and y = r sinθ then rearrange the…

Q: Convert the following point from rectangular to spherical coordinates:

A:

Q: Convert the following point from spherical to rectangular coordinates: 5, 4' 6 (х, у, 2) —

A: Use the following equations to convert spherical coordinates ρ,θ,φ to rectangular coordinates x,y,z.…

Q: The spherical coordinates of a point P are given by (2,). The rectangular coordinates of the point P…

A:

Q: Convert the following point from rectangular to cylindrical coordinates: (-2/3, 2, 3). (r, 0, 2)

A:

Q: Q2: A cube of edge 24mm is resting on the top of a frustum of cone of base diameter 60mm and top…

A: We are asked to draw the isometric view of the solid.

Q: convert the rectangular point (-1, -sqroot3) to polar, where r is greater than or equal to 0 and 0…

A: We know that polar form of a rectangular point x,y is r,θ=x2+y2,tan-1yx. We have, Rectangular point…

Q: Explain how you would graph the following set of parametric equations by plotting points and…

A:

Q: -What 3D image is below?

A: Given image is a 3d image. In geometry, a tetrahedron is also known as a triangular pyramid.  It has…

Q: Convert from spherical to rectangular coordinates. 8, (х, у, 2) %3D

A:

Q: Convert thepoint (x,Y) from rectangular to polar Coordinates Cr,e). 4)(2,-2)

A:

Q: Sketch the following surfaces. i) = 5+ x² Vr+ iii)

A: We have to sketch the following surfaces:i)   z=5+x2+y2ii)  z=5-x2+y2iii) z=5-x2-y2

Q: Radiation is focused to an unhealthy area in a patient’s body using a parabolic reflector,…

A:

Q: 4. Eliminate the parameter and write the parametric equation in rectangular form x = 3 sece, y = 5…

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Q: What are the rectangular coordinates of the point whose spherical coordinates are (2, 응까, -3짜) ? x =…

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Q: Find the Cartesian equation for the circle defined by the parametric equations x=1+2cost and…

A:

Q: Write down the parametric equetions |3D 4=6-t in cartesion Form

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Q: Here is a right triangle. Which solid results from rotating the triangle using the axis of rotation…

A: Given the figure is Right triangle

Q: What is the polar equation of a circle of radius Va? + b centered at (a, b)?

A: General equation of a circle is given by - x-h2+y-k2 = r2              ..............(1)where,h, k =…

Q: Convert (5, t/6, t14) from spherical to rectangular coordinates.

A: Solution is given below

Q: What are the rectangular coordinates of the point whose spherical coordinates are (1,,)? x = 0 y = z…

A:

Q: A circle is specified in parametric form by x=7+3cosθ y=−8+3sinθ What are the coordinates of the…

A: Given : A circle is specified in parametric form by  x=7+3 cosθy=-8+3 sinθ To Find : What are the…

Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (1, 0, 0) -…

A:

Q: Find a parametric description for the top half of the unit circle, oriented clockwise.

A: Given that, the top half of the unit circle is considered. The standard equation of a unit circle…

Q: Write the following point in polar coordinates (r,0) into Cartesian coordinates (x,y) -8,-

A:

Q: State the formula to find the Curvature of a curve in parametric form.

A: We will state the required formula.

Q: I must have made a mistake because my polar representation of a given point is not the same as the…

A: Let us consider the statement that“I must have made a mistake because my polar representation of…

Q: Find the rectangular coordinates of the point (G) which is in spherical coordinates.

A:

Q: * Convert (5, /6, w/4) from spherical to rectangular coordinates.

A:

Q: Is this true or flalse? In spherical cooordinates, the graph of the surface with equation φ = π/2 is…

A: Spherical coordinate

Q: Convert the following point from rectangular to spherical coordinates: -5/2 -5/6 -5/2 4 4 (p, 0, 4)…

A:

Q: Convert the following point from rectangular to spherical coordinates: ( -3/2 -3/6 (p, 0, $) =…

A: The given rectangular coordinates are x,y,z=-322, -362, -32

Q: Evaluate ds where C is the upper half of the circle centered at the origin with radius 1 with the…

A: Draw the curve C:  Here, we divide C in two parts:  C1 represented by the curved part C2…

Q: Convert the following point from Spherical Coordinates to Rectangular Coordinates.13 (ahải 2)

A: ρ, θ, ϕ=4, π4, π3 Therefore, ρ=4, θ=π4, ϕ=π3

Q: Find the formula for the distance between the points P1(a1,b1,c1) and P2(a2,b2,c2) given in…

A: First write the given coordinates in spherical coordinates. a1=r cosθsinϕb1=r…

Q: Calculate 8-2 dz, z(4 – z) where C is the circle of radius 7, centre 0, negatively oriented.

A:

Q: Convert the following point from spherical to rectangular coordinates: (17) - 4 4 (x, y, z) =

A:

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Circle:  x = h +…

A: x=h+r cosθ , y=k + sinθ