If (V3, -3,-V4) is the rectangular coordinate of the point p, then the spherical coordinate of p = (p, 0, 6) is:

Q: onvert the following to rectangular coordinates and spherical coordinates. Do not evalua tegral.…

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Q: Match the surface to its corresponding equation in spherical coordinates. 4 2 3 4. %3D 2 1 а. -1 -2…

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Q: Convert to spherical coordinates. √9-x2 3 St. Sort So √x² + y² [x² + y² (1) Z aretan, dzdy dx

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

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Q: Let P be a point in R³ with rectangular coordinates (,,-V3). (a) Give the cylindrical coordinates of…

A: We have to convert rectangular coordinates to cylindrical coordinates.

Q: Which one of the following accurately describes the set {(p, 0, $)|¢ = 5 } in spherical coordinates?…

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Q: Which of the following is the rectangular coordinates of the point which is given by cylindrical…

A: Cylindrical (ρ,θ,z) to cartesian (x,y,z) conversion formula is -: x = ρ × cosθ  y = ρ × sinθ  z = z…

Q: Which of the following is the spherical coordinates of the point (1, 3, 2,/3) which is given by…

A: Cartesian (x,y,z) to spherical (r,δ,θ) conversion formula.   r = (x2+y2+z2)1/2 δ = tan-1(z/(x2+y2))…

Q: Which of the following is the rectangular coordinates of the point which is given by cylindrical…

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Q: Sketch the set of points that are described in spherical coordinates where: TT pS 2, 0<0<2' 2 くp<T

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Q: Express the following points in cylindrical and spherical coordinates: (i) P(l, -4, -3); and

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Q: Q1. L is) Find the rectangular coordinates for the point (1,, 4,4) which is given in spherical…

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Q: Which statement about spherical coordinates is correct? (a) If φ = 0, then P lies on the z-axis.(b)…

A: To find: The statement that is true. Given: The first statement is φ=0 then P lies on the z-axis.…

Q: find an equation of the form ρ = f (θ , φ) in spherical coordinates for the following surfaces  z 2…

A: Coordinate systems are used to define the position of a point on an n-dimensional system. Some of…

Q: 2. Convert 1,1, 2 |from rectangular coordinates to spherical coordinates. a. e. я я 2. 4' 2 4' 4 (2)…

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Q: If (-V3, 3, v4) is the rectangular coordinate of the point p. then the spherical coordinate of p =…

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Q: If we convert the point (p, 0, 6) = (6,7/6, 5T/6) from spherical to cartesian coordinates, we obtain

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Q: Given: P(-1, -1, 2) what is o in cylindrical coordinate system?

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Q: If (-V3, 3, V4) is the rectangular coordinate of the point p then the spherical coordinate of p= (p,…

A: Let (x, y, z)  be the rectangular coordinate

Q: Convert each of the following points in rectangular coordinate system into points in cylindrical…

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Q: describe the given set in spherical coordinates  y2 + z2 ≤ 4, x = 0

A: y2+z2≤4,  x=0. Now consider, y2+z2≤4⇒x2+y2+z2≤4+x2⇒x2+y2+z2≤4             ∵x=0⇒ρ2≤4⇒0≤ρ≤2 Now since…

Q: 1. Consider a point in Cartesian coordinates given by (-2, 2\3, 4). (a) Find the corresponding…

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Q: 2.1 Convert the following Cartesian points to cylindrical and spherical coordinates: (a) P(2,5, 1)…

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Q: Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (a)    (8,…

A: ρ, θ, z=8, π4, 3⇒ρ=8, θ=π4, z=3  Now rectangular coordinates are, x=ρcosθ, y=ρsinθ, z=z⇒x=8cosπ4,…

Q: 1. Consider a point in Cartesian coordinates given by (-2,2√//3, 4). (b) Find a corresponding…

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Q: Which of the following is the spherical coordinates of the point (0, 3, 1) which is given by…

A: In spherical coordinates  r= sqrt(x2+y2+z2). Theta= arctan (sqrt(x2+y2)/z). phi = arctan(y/x)

Q: 57 Find the rectangular coordinates for the point given in poloar coordinates: [4,

A: We have to find the rectangular  coordinates of the given polar coordinates of a point.

Q: Convert from spherical to rectangular coordinates ( a) (5, π/6 , π/4) (b) (7, 0, п/2) ( c) (1, π, 0)…

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Q: Which of the following is the rectangular coordinates of the point which is given by cylindrical…

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Q: The midpoint of AB is M(0, –4). If the coordinates of A are (–8, –7), what are the coordinates of B?

A: Coordinate of the midpoint of a line joining the points (x1,y1) and (x2,y2) is (x,y)=x1+x22, y1+y22

Q: The point (-1, 1, /2) has spherical coordinates (p, ø, 0). Then tan ø Oa. Ob.3 V3 12

A: Use equations x=ρsinφcosθ,y=ρsinφsinθ, and z=ρcosφ. So,             tanφ=x2+y2z       =(-1)2+1223…

Q: Convert the following Cartesian points to cylindrical and spherical coordinates: (a) P(2, 5, 1) (b)…

A: Solution:-

Q: Find the rectangular, cylindrical and spherical coordinates of point P shown in the figure.

A: Spherical coordinates is Rectangular coordinates is cylindrical coordinates is

Q: Which of the following is the spherical coordinates of the point (0, V3, 1) which is given by…

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Q: Given the points M(0.1, -0.2, -0. 1), N(-0.2, 0.1, 0.3), and P(0.4, 0, 0.1), find: (C) the scalar…

A: We have to find the scalar projection and angle between vector.

Q: 3. Use spherical coordinates to valuate ff, y? dV where E is enclosed by the hemisphere x? + y? + z?…

A: Given that  ∫∫∫Ey2dV and  enclosed by the hemisphere, x2+y2+z2≤9,y≥0 Here to evaluate the integral,…

Q: Find a spherical coordinate equation for the sphere x² + y? + (z – 1)² = 1

A: All real numbers can be represented on a line called the number line. The number zero corresponds to…

Q: 1) Find the distance from the point (1, 2, 3) (a) XZ plane to the (b) Z axis

A: In this question we will use basic of geometry i.e concept of 3D geometry. We will first plot the…

Q: If z(z, y) = 2x +y?, z = e", and Y = ue", find . %3D %3D Provide your answer below:

A: Put the expression of x &amp; y in z than calculate partial derivative of z with respect to v. When…

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

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Q: Which of the following is the spherical coordinates of the point (0, V3, 1) which is given by…

A: We will use the conversation formulae from rectangular to spherical coordinates.

Q: Find b such that B = (0, b) has hyperbolic distance of u from the point A (0,0).

A: Given: B=(0,b) has  hyperbolic distance of u from the point A=(0,0) Formula used:

Q: The Cartesion Coordinates and and sPherical Coordinates Can be related to cylindrical 月True D False

A: We have to solve given problem:

Q: Given that, 11-2-y 12x dzdyda = MT With the help of cylindrical coordinates find the value of m

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Q: YouTrylt 4 Find the spherical coordinates of the point with rectangular coordinates 3 3

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Q: Convert the following point from spherical to rectangular coordinates: (10,) 37 27 4' 3 (x, Y, 2) =

A: Suppose spherical coordinates given as ρ,θ,φ then its rectangular coordinates are x,y,z where…

Q: Which of the following is the rectangular coordinates of the point which is given by cylindrical…

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Q: thich of the following is the spherical coordinates of the point (0, 3, 1) which ven by rectangular…

A: We are asked to find the spherical cordinate

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.