A point is given in rectangular coordinates. Convert the point to polar coordinates (r > 0, 0 <0 < 2n). (-/11, V11) (r, 8) =

Q: and you take it from the rectangular system into the polar system. What will the new limits of…

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Q: tegral by transforming to polar coordinates.

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Q: 4- The equivalent of Cartesian equation (x + = 1) in polar equationis:

A: Given: Cartesian equation:   To determine: equivalent polar equation.

Q: Transform the polar equation r = 3 sin(0) to an equation in x and y. %3D

A: Converting the polar equation to rectangular equation

Q: Sketch the set of points (described in spherical coordinates). ρ = 2, 0 ≤ φ ≤ π/2

A: GIVEN we need to sketch ( spherical coordinates)  condition ρ = 2, 0 ≤ φ ≤ π/2

Q: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

A: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

Q: Find an equation in x and y that has the same graph as the polar equation r- sin 0 = 0 and graph on…

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Q: Convert the point (x, y, z) = (5, 3, - 1) to spherical coordinates. Give answers as positive values,…

A: For converting Cartesian to spherical coordinates use the following expression, p=x2+y2+z2 θ=tan-1yx…

Q: Find the rectangular coordinates of the point P with polar coordinates (4, А. Р%3D (-4,4) В. P = (--…

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Q: snip

A: Polar system is a two-dimensional system . "r" is the distance of the point from the origin .  θ is…

Q: Find two pairs of polar coordinates, one with r>0 and one with r<0,

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Q: (3) Find a parametric equation for the line segment joining (1, 0, 1) and (0, –2, 1).

A: The direction vector of the segment is: (0,-2,1) - (1,0,1) = (-1, -2, 0) Initial point is (1,0,1).…

Q: 1. Convert the point (-1,1, v2) from Cartesian to spherical coordinates.

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Q: What are the polar equations of the lines parallel to the line r cos (0 - ) = 1?

A: As a first step we will convert the polar equation into the Cartesian equation.

Q: Translate the rectangular coordinates (1,1,-Square root of 2) into spherical coordinates?

A: We will convert (x,y,z) to (r,θ,φ). using formulas as follows:

Q: Find a polar equation of the line with slope -1 that passes through the origin.

A: Given, a line with slope -1 and passes through origin

Q: What are the rectangular coordinates of the point with polar coordinates (r, 0) = (2, 45°)?

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Q: Convert the rectangular equation (z+3)´ + (y + 13)*= 178 into a polar equation. No spaces. Use @for…

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Q: Cannot solve

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

Q: 1. Convert (V3,-3) from rectangular to polar coordinates with r>0 and 0<0< 2r. Give exact values for…

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Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel…

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Q: Convert the point (2, y, z) = (5, – 1, – 2) to spherical coordinates. Give answers as positive…

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Q: Use spherical polar coordinates to evaluate LLEN V4-x2 x² + y2 + z² dz dy dx. -V4-x2

A: Solution is given below:

Q: Convert the point (3, V5) from rectangular to polar coordinates with 0 < 0 s a/2. (Round your…

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Q: Find the area of the surface formed by revolving the polar equation over the given interval about…

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Q: b. Express the point in at least two different ways. (Since polar coordinates are not unique.) (2)-(…

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Q: Find an equation in x and y that has the same graph as the polar equation r-sin 0 =0 and graph on…

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Q: What are the rectangular coordinates of the point with polar coordinates (r, 0) = (-10, (x, y) Enter…

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Q: 2. \ Evaluate •V4-2² dydx + dydx 2x-r2 using polar coordinates.

A: We have to evaluate the integral using polar coordinates.

Q: Express the Cartesian coordinates (-3/3,-3) in polar coordinates in at least two different ways.

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Q: Find the points of horizontal tangency to the polar curve r = 2 csc    + 3 .

A: Consider the given curve , r=2cscθ+3 Find the points of horizontal tangency . The relations between…

Q: find parametric equations for the lines with the given description.  Perpendicular to the yz-plane,…

A: To find parametric equation perpendicular to yz plane passes through (0,0,2)

Q: Find the area of the surface formed by revolving the polar equation over the given interval about…

A: Given: The polar equation of the curve   r=eaθ  ,  0≤θ ≤ π2 , Axis of revoultion θ = π2   To…

Q: Replace the Cartesian equation with an equivalent polar equation. x2-y2=4 O cos2e - sin20 = 4 O r…

A: 1. x2-y2=42. r2=26r cosθ-6r sinθ-9

Q: rt the point from rectangular coordinates to spherical (-3, -3, V2) 1) , 4) =

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Q: Ship X left the harbor at a speed of 25 n.m/hr Northeast while Ship Y is already in the ocean at…

A: We will draw diagram and then use co ordinate and trigonometry tp find required values

Q: 1. Convert from a rectangular equation to a polar equation. X-y= 10

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Q: Transform (0, y) from rectangular into polar form (here y is any negative number).

A: We have convert rectangular coordinates (0 , y) into polar coordinates: Where y is negative number-

Q: 2. The point (4,30°) in plane polar coordinates is equivalent to .. in rectangular coordinates. (a)…

A: Given polar coordinates is  (4,30°)

Q: What are the polar coordinates (r,θ) of the points of intersection of C1 curve with polar equation…

A: It is given that, It s known that at the point of intersection equation of both curves satisfies…

Q: Convert the point (1, , V3) from cylindrical to spherical coordinates. A. (2. 5. 5) 4' 6 В. 2,

A: To convert cylindrical coordinates (r, θ, z) to spherical coordinates ( ρ, θ, φ) we use following…

Q: What is the zero of polar equation r = 3+2cos(θ)?

A: Given polar equation is: r=3+2 cos θ To find the zero of the polar equation, we must have to put θ=0…

Q: The curve (x-)*+Cy +1)*= 4, x 7,1 is given. First draw it in the Cartesian plore and then transtorm…

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Q: 1 r = sin 0-4 cos 0

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Q: Identify the surface whose equation in spherical coordinates is given by p = 8 cos %3D

A: The given equation in the spherical polar co-ordinates is ρ=8cosϕ. In spherical polar co-ordinates,…

Q: Give a parametrization of the left half portion of the polar curve described by the equation r = 3.

A: Give a parametrization of the left half portion of the polar curve described by the equation r = 3.

Q: roblem 1: onvert from rectangular to polar form: a) 2 + 2v3i b) 3- 4i =) V3 - i

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: 5T and 3, 3 Plot the points with polar coordinates -5, using the pencil. 生3

A: Plot the points-5,-5π3 and 3,π6     Polar coordinatesx=r cosθy=r sinθ

Q: Find the distance between point A(3, 4, 4) and the line of parametric equations x = -1-t, y = -t, z…

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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.