• Graph the cardioid r a(1 + cose), a <0? • Graph the cardioid r = a(1+ sin6), a < 0? Graph the curve r2 4a2cose ?

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Q: Find the lengths of the curves The curve r = cos3 (θ/3), 0 ≤ θ ≤ π/4

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Q: 7. Consider the curve C given by the parametric equations x = cos(0), y = sin(0) cos(0) (a) Sketch…

A: This is a problem of parametric curve trace and the application of calculus.

Q: A. Sketch the two curves: 1. r1 = 3 cos 0. 2. r2 = 1+ cos 0.

A: Use polar system to sketch this curve.

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A: Given: The crest of each hills is 106Time =1.8

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Q: Q2/ Identify the symmetry of the curve r= sin e + cos e. Then sketch the curve in xy-plane.

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Q: Q1 Find all the points of intersections of the curves r = 1+cos0 and r=1+sin r-1+(8) r=1+1)

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Q: (a) Find the minimum and maximum xcoordinates of points on the cardioid r =1−cosθ.(b) Find the…

A: given,       the cardioid r= 1-cosθ

Q: 5. Trace the curve r = sinecos³e.

A: To find the trace of the given curve r=12sinθcos3θ

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Q: Number 6 part a) and b)

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Q: Idatify the sy mnctries of the curves and sketehit after. V=I+ Cose Y=+Sin9 バ= HZ Sm 9 ノ

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Q: 6. Trace the curve r? = 4cos*etan?e. %3D

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Q: 11. Finding arc length Find the length of the curve V cos 2t dt, <x</4. 0

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Q: i) State the domain and range of y = 4 cos-'(3- 2x). %3D (ii) Hence sketch the curve y = 4 cos-(3…

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A: Formula to find the arc length of any curve is given by - L = ∫0π4 1+dydx2dx…

Q: 7. Consider the curve C given by the parametric equations x = cos(0), y = sin(0) cos(0) (a) Sketch…

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