Area between a curve and a line: check 1
Difficulty: ★★☆Maths4U Original · Short practice
A curve is \(y = x^{2} - 34 x + 341\) and a line is \(y = 2 x + 18\).
Find the smaller intersection x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Area between a curve and a line: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
A curve is \(y = x^{2} - 36 x + 397\) and a line is \(y = 3 x + 19\).
Find the smaller intersection x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Area between a curve and a line: check 2
Difficulty: ★★☆Maths4U Original · Short practice
A curve is \(y = x^{2} - 36 x + 397\) and a line is \(y = 3 x + 19\).
Find the larger intersection x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Area between a curve and a line: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
A curve is \(y = x^{2} - 41 x + 457\) and a line is \(y = x + 20\).
Find the larger intersection x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Area between a curve and a line: check 3
Difficulty: ★★☆Maths4U Original · Short practice
The curve is \(y=\left(8 - x\right) \left(3 x - 12\right)\). Consider the finite region bounded by the curve and the x-axis.
Find the area between the curve and the x-axis.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Area between a curve and a line: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
The curve is \(y=\left(10 - x\right) \left(4 x - 20\right)\). Consider the finite region bounded by the curve and the x-axis.
Find the area between the curve and the x-axis.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Area between a curve and a line: check 4
Difficulty: ★★☆Maths4U Original · Short practice
The curve is \(y=\left(10 - x\right) \left(4 x - 20\right)\). Consider the finite region bounded by the curve and the x-axis.
Find the maximum height above the x-axis.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Area between a curve and a line: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
The curve is \(y=\left(3 - x\right) \left(x - 1\right)\). Consider the finite region bounded by the curve and the x-axis.
Find the maximum height above the x-axis.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.