Find the Slope of the polar urve at the indicated pont r= 6 sin 4e

Q: Replace the polar equation with an equivalent Cartesian equation. r 2 + 2r 2 sin θ cos θ = 576

A: Given: r2+2r2sinθ.cosθ=576 Solution: By taking common r2 we can write above equation,…

Q: The propellers for a toy boat are manufactured by stamping out a rose with n petals and then bending…

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Q: 3. Draw the polar curve r = 3 +sin 30

A: Solution: The objective is to graph the polar curve r=3+sin(3θ)

Q: a) Reproduce the algebra required to convert this Cartesian equation to the polar form r = sin(20).…

A: Given the algebraic equation, (x2+y2)3=4x2y2 ⋯⋯(1) (a) Take x2+y2=r2, x=rcosθ, and y=rsinθ Then…

Q: What is the radius of the circle for the polar equation r = 15 cos 0? Enter a numerical value only,…

A: Converting from polar coordinates to Cartesian coordinates.

Q: For each point (x,y), give two sets of polar coordinates, where 0<=theta<=2pi problem : (3√3,-3)

A: Polar coordinates.

Q: Evaluate by changing to polar coordinates. S" So læ dædy help (fractions)

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Q: In AHIJ, the measure of J=90°, IH = 65, HJ = 56, and JI = 33. What is the %3D %3D value of the sine…

A: First sketch a triangle for the given measures as shown below.

Q: Find the area of the region in the polar coordinate plane . Enclosed by one leaf of the three-leaved…

A: The area of the region enclosed by one leaf of the three leaved rose between the origin and the…

Q: Qz: sketeh in polar

A: The Cartesian system hav coordinate (x,y)  Where -∞X&lt;∞ &amp; -∞&lt;Y&lt;∞. For polar Coordinates…

Q: Convert the given polar equation to a Cartesian equation. (Use the following as necessary: x and y.)…

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Q: Write in Polar form: r(cosθ+isinθ). (0≤θ<2π and round to 3 decimal places) 8+10i r= , θ=

A: The polar form of a complex number z=a+bi is z=r(cosθ+isinθ). where, r=|z|=a2+b2 , a=rcosθ  and…

Q: In polar coordinates, r is the ________ ________ on the terminal side of an angle uwhose vertex is…

A: The given statements is "In polar coordinates, r is the ________ ________ on the terminal side of an…

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

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Q: Replace the polar equation with an equivalent Cartesian equation. r 2 + 2r 2 sin θ cos θ = 576…

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Q: The polar form of the Cartesian equation x = 4 is Select one: a. r sin 0 = 4 b. r= 4 cosec 0 c. r= 4…

A: We have to find the polar form of the Cartesian equation  x = 4

Q: In AHIJ, j = 1.9 inches, h = 3.4 inches and ZI=161°. Find ZJ, to the nearest 10th of an degree. %3D…

A: This is a question related to properties of triangles and can be solved by applying cosine and sine…

Q: Find the lengths of the curves given by the polar coordinate equations r = -1 + cos θ

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Q: In each part, find polar coordinates satisfying the stated conditions for the point whose…

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Q: The polar form of the Cartesian equation x = 4 is Select one: a. r sin 0 = 4 b. r=4 cosec 0 c. r=4…

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Q: The area of one lobe of r = 3 sin(40) is

A: Given: The equation of one lobe is, r2=3sin4θ

Q: Find the slope of the tangent line to a given polar curb at the point specified by the value of…

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Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) — 12 — Зі r =…

A: Given: -12-3i. The objective is to write the polar form.

Q: Convert the given polar equation to a Cartesian equation. (Use the following as necessary: x and y.)…

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Q: Replace the polar equation r2 sin 20 = 2 with equivalent Carte sian equation %3D

A: Given, The polar equation  r2sin2θ = 2    We have to write the equivalent cartesian equation.

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) – 12 – 3i r = ,…

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Q: Show that the polar equation r = asin(θ)+ bcos(θ), where ab≠0, represents a circle, and find its…

A: We have to proof

Q: Show that r = a cos θ + b sin θ is the equation of a circle passing through the origin. Express the…

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Q: Replace the given polar equation by equivalent Cartesian equation i. r2 + 2r2 cos 0 sin 0 = 1. r = 4…

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Q: Given a point P represented by the ordered pair (r, θ) in polar coordinates, the distance from P to…

A: Given: A point P represented by the ordered pair (r, θ) in polar coordinates, the distance from P to…

Q: Replace the polar equation r2 sin 20 = 2 with equivalent Carte sian equation

A: Solution   Let a general point P in polar coordinate is (r,θ) while in Cartesian it is (x,y) while…

Q: Replace the polar equation r2 sin 20 2 with equivalent Carte sian equation

A: Given : r2sin2θ=2 We know that x=rcosθ, y=rsinθ and also sin2θ=2cosθsinθ.

Q: Convert the following polar curves into Cartesian r=2/(4-cos theta)

A: We know that--&gt; r2 = x2 + y2  x = rcosθ y = rsinθ

Q: Find the area of the region inside one leaf of the polar graph: r = sin7x

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Q: The point specified by the polar coordinates (7.00, 35.0°) is following when converted to Cartesian…

A: Calculating the cos and sin theta  cos(35o) = 0.81915sin(35o) =0.5736

Q: Find the area enclosed by r= 5 + 4sinθ in the Polar coordinate system, but only the part that is in…

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Q: Transform the given polar equation to retngulr coordinates and identitythe cuve represented 5+4x y =…

A: The answer is found in step-2

Q: The Cartesian equation xy=1 is equivalent to r^a sin(2theta)=b in polar coordinates what is a+b=

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Q: Which of the following polar equations describes a circle centered at (G, 5) with radius 2 O r =…

A: Given, center=(12,12) radius=12

Q: In AJKL, the measure of ZL=90°, JL = 80, KJ = 89, and LK = 39. What is the value of %3D %3D the sine…

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Q: Find the lengths of the curves given by the polar coordinate equations r = 2 sin θ + 2 cos θ, 0 ≤ θ…

A: Given: r=2sinθ+2cosθ; 0≤θ≤π2 for finding length of curve given by the given polar equation, first we…

Q: Find the rectangular coordinates of the pont P whose polar coordinates are (2,2π/3)

A: Given polar coordinate, r, θ=2,2π3

Q: 8 a. Given the polar equation r² sin20 = 8, find an equivalent Cartesian equation.

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Q: Show that the polar equation r = a sin θ + b cos θ where ab ≠ 0 represents a circle, and find its…

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Q: What is the polar equation of a circle of radius a centered at the origin? Use this equation to…

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Q: Given the polar equation r2 sin20 = 8, find an equivalent Cartesian equation.

A: Given the polar equation r2 sin 2θ = 8

Q: Convert the polar equad-lon to rectungular form r "sec o =p? tan?o sece -ręcs EG

A: To convert the polar form into rectangular form

Q: Draw the polar curve r = 2 – 4 sin 50

A: See the attachment