Parametric equations: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(x=t^2+11,\ y=t^3+2t\), for t>0. Evaluate the requested quantities at \(t=2\).
Find \(\displaystyle \frac{dy}{dx}\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Parametric equations: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(x=t^2+12,\ y=t^3+3t\), for t>0. Evaluate the requested quantities at \(t=3\).
Find \(\displaystyle \frac{dy}{dx}\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Parametric equations: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(x=t^2+12,\ y=t^3+3t\), for t>0. Evaluate the requested quantities at \(t=3\).
Find \(\displaystyle \frac{d^{2}y}{dx^{2}}\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Parametric equations: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(x=t^2+13,\ y=t^3+4t\), for t>0. Evaluate the requested quantities at \(t=4\).
Find \(\displaystyle \frac{d^{2}y}{dx^{2}}\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Parametric equations: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(x=t^2+13,\ y=t^3+4t\), for t>0. Evaluate the requested quantities at \(t=4\).
Find the tangent y-intercept.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Parametric equations: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(x=t^2+14,\ y=t^3+1t\), for t>0. Evaluate the requested quantities at \(t=1\).
Find the tangent y-intercept.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Parametric equations: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(x=t^2+14,\ y=t^3+1t\), for t>0. Evaluate the requested quantities at \(t=1\).
Find the normal gradient.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Parametric equations: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(x=t^2+15,\ y=t^3+2t\), for t>0. Evaluate the requested quantities at \(t=2\).
Find the normal gradient.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.