Which of the following polar equations shows a limacon with a dent? A) r = 6 + 4 sin 0 B) r = 4 – 6 cos 0 C) r = 6 – 8 sin 0 D) r = 2 +2 cos 0 A

Q: b) r = 1 2sint+3cost

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Q: 11) Find the rectangular form of the polar equation: r = sin 0 + cos 0

A: Given: r = sin θ + cos θ To find: The rectangular form of the given polar equation.

Q: ) Rewrite the following polar curve as a Cartesian equation. (Hint: First rewrite the curve in terms…

A: Convert the given polar curve into Cartesian form  r= 1/csc(θ) cot(θ)

Q: d) 2xy =1 2) Converting the following equations to Cartesian form: a) r+2 sin0 = 0 b) r(3cos0– 4…

A: “Since you have asked multiple question, “Since you have posted a question with multiple sub-parts,…

Q: 16) Convert –15 + 8j to polar form. Round 0 to 1 decimal point. 17) Convert 640° to rectangular…

A: z=-15+8jpolar form of z :z=rcosθ+isinθ     r=x2+y2tanθ=yxz=-15+8j      -15,8    2nd quadrant…

Q: 1- Convert the polar equation to a Cartesian equation: a. r=4 sin 0 b. 0 = T/4 c.r = 5 d. r sin (20)…

A: While dealing with polar and cartesian equations, we should know these basic things x=r cosθy=r sinθ…

Q: The polar equation r = 4 sin 40 is symmetric to what axis? O Line OX or the polar axis pole or the…

A: r=4sin4θ Replace r, θ by -r, -θ, we get ⇒-r=4sin4-θ⇒-r=4sin-4θ⇒-r=-4sin4θ…

Q: A: Convert the following polar equations to equivalent Cartesian equations: 1) r= 1-sin(0) 2) r tan…

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A: (a) z=3cos20°+isin20°w=5cos100°+isin100° Then we get,…

Q: ph each polar equation given below. (a) r sin 0= - 3 (b) r=2 Part (a) 2n to Part (b) 4 十 6. 6. 6. 4…

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Q: Which of the following polar equations represents a cardiod or heart- shaped curve? r = 4 cos 20…

A: Here given polar equations  r= 4 cos 2θ ......(1) r= 3+3 cos θ .......(2), r= 2 cos 2θ .......(3) r=…

Q: a) Write the equations that you would solve to find the points where the the tangent on the polar…

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Q: By converting the equations to Cartesian coordinates, identify and describe the curves described by…

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