No. Date Givey complex nunmber wEl-i3. i = express w 1s polar Furm こ e by ysing part Ci). solue 2て こ by given. your answers of in the form At bi sketch the voots A'ganddiagut hense aり

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

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Q: A particle a of mass m moves inside a bowl. If the surface of the bowl is given by the equation Z m…

A: As per the question we are given the 3d equation of a surface in cartesian coordinates as :  z =…

Q: Find the circumference of a circle described by the parametric equations = 7 cos 0 and y = 7sin 0…

A: The formula L=∫dxdθ2+dydθ2dθ is formula for length of arc in polar coordinates. As we go along the…

Q: compute the length of the polar curve. The length of r = θ2 for 0 ≤ θ ≤ π

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Q: Find the length of the spiraling polar curve r = - 7e60 from 0 to 27. Length) =

A: Given polar curve  r=-7e6θ            0≤θ≤2π Arec length L=∫abr2+drdθ2 dθ

Q: Determine the number of cusps for the hypocycloid described by the parametric equations æ(t) = (2 –…

A: The standard form of hypocycloid parametric equations are x(t)=rk-1cos(t)+r cos((k-1)t),…

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 r = θ2,    0 ≤ θ ≤ 2π

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Q: Write a polar equation for the conic with the given characteristics. e = 1.6; directrix: y = 4 6.4…

A: Given :  Eccentricity,   e=1.6       and  Directrix,         y=4

Q: (Picture of question is attached)

A: Calculate the values using the given polar equation and complete the table.

Q: Find two sets of polar coordinates for the point for 0 sO<2n. (r, 0) (-3, 0 (smaller r-value) %3D…

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Q: Determine the shape of each polar curve. 9r = 7 parabola 7 circle 9 r = 4 + 6 sin(0) ellipse…

A: Given :            r=7r=74+6sinθr=74+4sinθr=76+4sinθ

Q: Cannot solve

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

Q: 2 Find the cartesiun equation for the polar Carre rこlcos . Al(x-2)²+y2=4 ty²-4 %3D c)x²+ Cy-2)?=4 D)…

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Q: Find the length of the spiraling polar curve 69 个= 3e From 0 to 2T The length is

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Q: 5. Given the parameter 7, constants a and c, show that the parametric equations: X(+) = (cosh () –…

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Q: 3. Express the equation y = mx + b, where m and b are constants, in plane polar coordinate.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 11n Plot the points with polar coordinates 3, TT and using the pencil. 4 5n TE 6. 2 4 11n 6 6 5n 4.…

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Q: The parametric equations that correspond to T= (2t 1) i- 3vtj+ sin 3t k is %3D

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Q: Note: Answers must be in 4 decimal places. 1. Use Cauchy - Reimann Equations to identify if it is…

A: Cauchy-Riemann equation- According to Cauchy-Riemann Equations, if f(z)= u (x ,y) +iv(x, y) is…

Q: r cos 0 = -3 2n 5Tt 2 3 Check for symmetry line 0 = = pole polar axis

A: rcosθ=-3 Now when θ=0, rcos0=-3⇒r1=-3⇒r=-3 When θ=π6, rcosπ6=-3⇒r32=-3⇒r=-23 When θ=π3,…

Q: 9. Show that for a ± 0, the equation p = 2a sino cos 0 in spherical coordinates describes a sphere…

A: Given :  The equation ρ = 2 a sin ϕ  cosθ  .   To determine: The equation ρ = 2 a sin ϕ  cosθ  in…

Q: Note: Answers must be in 4 decimal places. 1. Use Cauchy - Reimann Equations to identify if it is…

A: Cauchy-Riemann Equations: If f(z) = u(x, y) + j v(x, y), where z = x + jy then the equations…

Q: Which of the following gives the Cartesian form of the polar equation r = 7 2cos 0+5sin 0 Select the…

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

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Q: er.)Graplethe polar equation r=1-coae for "e in [0,360) 30 45 use the braplon the next page…

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Q: Aind he points of vakersec onlipt polar the Carves 「こ1+ 30s0 ad re_2 2 - Cos O

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

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Q: Test for symmetry and graph polar equation

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Q: The Cartesian equation of the polar curver= 2sin0 + 2cos0 is Select one: O r + y? = 2 O x+y=2 O y? –…

A: Note that : 1) x^2+y^2=r^2 2) x=r(cos(theta)) 3)y=r(sin(theta))

Q: Which of the following is the distance from point. A( V5, 0) to point B(2V10, Y) in polar…

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Q: 2) The (Beltrami) pseudosphere is given by the chart x(uivl = (coslu) SinCv), Sincul Sincv), coscv)+…

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Q: Q/ sketch r:2 sinlo -)cos(0-) in polar system. ExPlav e is the graphic symme trical and wribing a…

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Q: DESCRIPTIONS C. Cardioid, F. Rose with four petals, I. Inwardly spiraling spiral, L. Lemacon, M.…

A: To match each polar equation to the best description.

Q: see attached

A: We first have to find equivalent position as -4pi/3 We add 2pi with it to get it.So we have to plot…

Q: Match the following equations with appropriate ones. 물 %3 11 Ses- Seç. Seç. Seç. Seç. Hyperbolic…

A: Solutions We have to match each equation as in options

Q: Find the length of the polar curve: r=7 cos 0 , 0L05 3 TT 4

A: The length of the polar curve over the interval [a, b] is : The given curve is: So, the limit…

Q: 2. Use polar coordinates to evaluate 2 1. √4+7++5² dy dz. Jo

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Q: 39 9. A curve with polar equation r = 6sin0+13cose represents a line. This line has a Cartesian…

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Q: [=2sin e +2cos@, Ososă evolunte the leggth of Coordinate systom. culve for polar

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Q: SSVitzý +Z% dA and then converting to polar. This The surface atea of a sphere ot radius I is As=4r.…

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Q: =) For Z1 = -4 + 3j and Z2 = 3 -- j. Find: (i)Z, + Z2 Z2 Note: Each solution should be represented…

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Q: Convert the rectangular equation to polar form. (x² + y2j2 = 6(x² – y²) 6 cos 0

A: In the question we have to convert given function into polar form.

Q: 2. Determine the ry-coordinates of the points where the following parametric equations will have…

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Q: 1 If the parametric equatioms are: x= sin-t and y= cos,t, 1 %3D - nstSn 2 then the Cartesian…

A: Given x=sint2, y=cost2, -π⩽t⩽π

Q: (i) Find a Cartesian equation of the curve C. Hint: square the equation for y and replace the…

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Q: Show that the polar equation for the curve with Cartesian equation x² – y² = 1 is r? = sec 20.4

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