Applications of polar coordinates: check 1
Difficulty: ★★☆Maths4U Original · Short practice
The closed polar curve is \(r=12(1+\frac{1}{2}\cos\theta)\) for \(0\le\theta\le2\pi\). Its radius is positive on this interval.
Find the maximum radius.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Applications of polar coordinates: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
The closed polar curve is \(r=13(1+\frac{3}{4}\cos\theta)\) for \(0\le\theta\le2\pi\). Its radius is positive on this interval.
Find the maximum radius.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Applications of polar coordinates: check 2
Difficulty: ★★☆Maths4U Original · Short practice
The closed polar curve is \(r=13(1+\frac{3}{4}\cos\theta)\) for \(0\le\theta\le2\pi\). Its radius is positive on this interval.
The enclosed area is Aπ. Find A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Applications of polar coordinates: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
The closed polar curve is \(r=14(1+\frac{1}{4}\cos\theta)\) for \(0\le\theta\le2\pi\). Its radius is positive on this interval.
The enclosed area is Aπ. Find A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Applications of polar coordinates: check 3
Difficulty: ★★☆Maths4U Original · Short practice
The closed polar curve is \(r=14(1+\frac{1}{4}\cos\theta)\) for \(0\le\theta\le2\pi\). Its radius is positive on this interval.
Find the tangent gradient at θ=π/2.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Applications of polar coordinates: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
The closed polar curve is \(r=15(1+\frac{1}{2}\cos\theta)\) for \(0\le\theta\le2\pi\). Its radius is positive on this interval.
Find the tangent gradient at θ=π/2.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Applications of polar coordinates: check 4
Difficulty: ★★☆Maths4U Original · Short practice
The closed polar curve is \(r=15(1+\frac{1}{2}\cos\theta)\) for \(0\le\theta\le2\pi\). Its radius is positive on this interval.
Find the y-coordinate at θ=π/2.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Applications of polar coordinates: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
The closed polar curve is \(r=16(1+\frac{3}{4}\cos\theta)\) for \(0\le\theta\le2\pi\). Its radius is positive on this interval.
Find the y-coordinate at θ=π/2.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.