Find the distance on the xy plane between the two points, given below as polar coordinates (7, 7pi/6) and (4, 5pi/6)

Q: Find the length of the polar spiral r = 0² from 0 < 0 < V5.

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Q: Find the points at which the polar cone irc4coso, has horizontal and vertical tungent liner.

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Q: Which of the following is the surface area of the solid body created by rotating the given…

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Q: Use the parametric equations of an ellipse, x = 5 cos (0), y = 4 sin(0), 0≤ 0 ≤ 2π, to find the area…

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Q: Use the parametric equations of an ellipse, æ = 2 cos(0), y = 5 sin(0), 0 < 0 < 27, to find the area…

A: Given :  x=2cos(θ), y=5sin(θ),  0≤θ≤2π The area under the curve can be written as:…

Q: Use polar coordinates to calculate e-(z²+y²) dydx. roo Express -(2²+y²) dydx in terms of dr, and…

A: We will find out all the required values.

Q: Convert to polar coordinates in the xz-plane, similar to Example 3 in the book. r2 63 – 2x? – 2z? –…

A: The limits lead to interpretation that,   From (2), Comparing the above result with  r=3

Q: express in polar coords with: Cりり me point whose Ty-Coords are a.r>o and OsoL2

A: Introduction: The polar coordinates r,θ of rectangular coordinates (x,y) in two-dimensional…

Q: Find the exact length of the polar curve = 2 over the interv < T. Show your work. (No approximation…

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Q: Use the parametric equations of an ellipse, x=4cos(theta), y=3sin(theta), 0 less than or equal to…

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Q: Find the length of the curve r = 2 sin^3 (u/3), 0&lt;=u&lt;=3pai, in the polar coordinate plane.

A: To determine the length of the polar curve.

Q: Evaluate the by itercated integreal onverzting to polare coordinates. V16-n² 3nd ydn V16-パ 16-42 -4

A: This integration problem is solved by converting rectangular coordinate into polar coordinate

Q: The magnitude of area inside of polar curve (r =) and outside 2 of polar curve (r = sin0) is equal…

A: We have to find the magnitude of the area inside of the polar curve r=3π and outside of the polar…

Q: Cannot solve

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

Q: Identify the surface whose equation in spherical coordinates is given by p= 2 cos o

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Q: Use spherical coordinates to find phi. Z=3sqrt(x^+y^2)

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Q: Plot the points with polar coordinates 4, and 3, using the pencil. 4 2n 3 4 0. 4. 9. 11n 9. 5T 4 4…

A: Topic:- Geometry

Q: Find the area of the region bounded by the graph of the polar equation that lies in the specified…

A: Consider the polar equation. r=e-θ6  The objective of the problem is to find the area of the region…

Q: Find the slope of the tangent line to polar curve r=9sinθ at the point (9/√2,π/4)

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Q: Find the solution of polar coordinate f(z) = Z+ sine function by using Cauchy-Riemann method.

A: Cauchy Riemann method in polar form

Q: Use cylindrical coordinates to evaluate Vio-ri-p2xy dzdydx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Identify this surface, φ = π/3 in spherical coordinates, and find its equation in x, y, z…

A: Identify this surface, φ = π/3 in spherical coordinates, and find its equation in x, y, z…

Q: Find the areas of the regions in the polar coordinate plane described Enclosed by the limaçon r = 2…

A: The limacon is symmetric around the x-axis thus doubling the area of the part over the x axis gives…

Q: Sketch the region in the plane consisting of points whose polar coordinates satisfy the given…

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Q: 2) Use polar coordinate dydx (1+ x² + y° )'?

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

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Q: Sketch the curve given in polar coordinates. r = 2 + 4sine , 0 < 0 < 2n

A: Consider the polar curve  r=2+4sinθ                             0≤θ≤2π

Q: Express the equation z = rroot2 cos2tita, which is given in cylindrical coordinates, in…

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Q: Show that every vertical line in the xy-plane has a polar equation of the form r = a sec u.

A: The relation between polar coordinates r,u and rectangular coordinates x,y is x=rcosu…

Q: Use polar coordinates to integrate under z=xy above the first quadrant of the unit circle on the xy…

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Q: Find the polar coovdinates rectanguar coordinak es the point whose (x,y)= LI,}) are

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Q: Find the slope of the tangent line to polar curve r=5sinθ at the point (5/2,π/6).

A: This question is related to Straight line, we will solve it using given information.

Q: Find the number of points of intersection of the polar curves r=2cos0 and r=1+2sin0. O 1 3 O 2

A: Number of point of intersection of polar curves r=2cosx and r=1+2sinx

Q: Find parametric equations for the line pass- ng through the point P(1, –1, 3) and perpen- licular to…

A: Given that: Line is passing through P(1,-1,3) and perpendicular to the plane:       4x+3y-2z=6.

Q: Find the points of horizontal tangency to the polar curve. r = 3 csc 0 + 5 0 < 0 < 2n (r, 0)…

A: Solution:- Given,  r=3 csc θ+5    0≤θ≤2π To find Horizontal tendency, find horizontal tangent lines…

Q: l+vI+r² xy dydx -z 1-VT-

A: ∫01∫1-1-x21+1+x2xydydxTo transform to polar coordinates and calculate

Q: Find the length of the curve having a parametric equation of x= 2cos³0 and y=2sin²0 from 0-0 to…

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Q: Determine the length of the polar curve r = 2°, 0<0<.

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Q: Describe in polar coordinates the region in the first quadrant between the circles of radius 1 and…

A: The Polar equation of a circle of radius 1 and having center at the origin is: r = 1

Q: Gz find the Velume of the Selid with in the cylinder xya16 and between the y-2-3 and Z=2(polar)…

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

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Q: Use the parametric equations of an ellipse, x = 2 cos(8), y = 3 sin(8), 0 < 0 < 27, to find the area…

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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: Find the area of the region Interior of r = 9 − sin (above the polar axis)

A: we have to find the area above the polar axis which means θ varies from 0&lt;θ&lt;π

Q: Find the length of the latus rectum of the curve r = 2/(1 - cos( theta )) in polar coordinates.

A: Given r=21-cosθ

Q: What are the polar coordinates (r, 0) of the point with Cartesian coordinates (x, y) = (V2, -V2) ? ㅇ…

A: Given cartesian coordinates:x,y=2,-2To find: polar coordinates r,θ

Q: Flnd the parametric equation of the line of ntersection of the planes and

A: First find normal vector then take cross product and use formula

Q: 11.) Find a rectangular equation for the Surface whose Spherical equation is a sin ($) Sin (e)

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Q: Find the tength of the curve over the given interval Polar Equation Interval

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