Find the value of x from r = x + 2cosθ if the area of this cardioid is 6π. 2. What are the point/s of intersection of r = cos2θ + 1 and r = 1 + cosθ? 3. Find the Cartesian equation of r = 2sinθ + 2cosθ. Please give an explanation. Thanks.
Added by Robert S.
Step 1
To find the value of x, we need to use the formula for the area of a cardioid, which is A = (3/2)πr^2. We are given that the area is 6π, so we can write: (3/2)πr^2 = 6π Simplifying, we get: r^2 = 8 Now we can substitute the given expression for r: (x + Show more…
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