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Here are 4 quick Calculus I practice questions with solutions. If you want a different topic, just tell me.

1. Limit Compute lim_{x→0} (sin x) / x.

Solution: This is the standard limit, which equals 1.

2. Derivative and critical points Let f(x) = x^3 − 5x^2 + 2. Find f'(x) and its critical points.

Solution: f'(x) = 3x^2 − 10x = x(3x − 10). Critical points: x = 0 and x = 10/3.

3. Definite integral Evaluate ∫ from 0 to 1 of (2x + 1) dx.

Solution: ∫(2x + 1) dx = x^2 + x. So from 0 to 1: (1 + 1) − (0 + 0) = 2.

4. Differential equation Solve dy/dx = y with initial condition y(0) = 2.

Solution: General solution y = C e^x. Use y(0) = 2 → C = 2. Therefore y = 2 e^x.

Would you like four problems in another topic (e.g., multivariable calculus, linear algebra, probability) or a higher difficulty level?