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Grade 12 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
A ripple on a pond has radius r growing at 3 cm/s. Ari finds how fast its area grows when r = 6 cm. Give dA/dt in terms of π, in cm²/s.
A circle of spilled paint has radius r growing at 4 cm/s. Bo finds how fast its area grows when r = 5 cm. Give dA/dt in terms of π, in cm²/s.
A round puddle has radius r growing at 0.5 cm/s. Esme finds how fast its area grows when r = 10 cm. Give dA/dt in terms of π, in cm²/s.
A circle of light on the floor has radius r growing at 1.5 cm/s. Jun finds how fast its area grows when r = 8 cm. Give dA/dt in terms of π, in cm²/s.
A 13 m ladder leans on a wall. Its foot slides away at 2 m/s. Kira finds dy/dt for the top when the foot is 5 m out. What is it, in m/s?
A 10 m ladder leans on a wall. Its foot slides away at 3 m/s. Luz finds dy/dt for the top when the foot is 6 m out. What is it, in m/s?
A 5 m ladder leans on a wall. Its foot slides away at 2 m/s. Milo finds dy/dt for the top when the foot is 3 m out. What is it, in m/s?
A 25 m ladder leans on a wall. Its foot slides away at 3 m/s. Noah finds dy/dt for the top when the foot is 7 m out. What is it, in m/s?
A clay cube is pressed bigger; its edge grows at 2 cm/min. Ren finds dV/dt when the edge is 3 cm. What is it, in cm³/min?
A wax cube melts; its edge shrinks at 0.25 cm/min. Zee finds dV/dt when the edge is 6 cm. What is it, in cm³/min?