Arc length and surface areas: check 1
Difficulty: ★★☆Maths4U Original · Short practice
On \(0\le x\le 3\), the curve is \(y=\frac23(x+12)^{3/2}\).
Find its arc length.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Arc length and surface areas: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
On \(0\le x\le 1\), the curve is \(y=\frac23(x+13)^{3/2}\).
Find its arc length.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Arc length and surface areas: check 2
Difficulty: ★★☆Maths4U Original · Short practice
On \(0\le x\le 1\), the curve is \(y=\frac23(x+13)^{3/2}\).
Find S/π for the curved surface produced by revolution about the x-axis.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Arc length and surface areas: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
On \(0\le x\le 2\), the curve is \(y=\frac23(x+14)^{3/2}\).
Find S/π for the curved surface produced by revolution about the x-axis.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Arc length and surface areas: check 3
Difficulty: ★★☆Maths4U Original · Short practice
On \(0\le x\le 2\), the curve is \(y=\frac23(x+14)^{3/2}\).
Find V/π for the solid formed from the region under the curve.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Arc length and surface areas: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
On \(0\le x\le 3\), the curve is \(y=\frac23(x+15)^{3/2}\).
Find V/π for the solid formed from the region under the curve.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Arc length and surface areas: check 4
Difficulty: ★★☆Maths4U Original · Short practice
On \(0\le x\le 3\), the curve is \(y=\frac23(x+15)^{3/2}\).
Find the gradient at the right endpoint.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Arc length and surface areas: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
On \(0\le x\le 1\), the curve is \(y=\frac23(x+16)^{3/2}\).
Find the gradient at the right endpoint.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.