Grade 12 · Algebra & functions

Calculus application formulas practice

Calculus application formulas is a grade 12 math skill: apply core calculus formulas — tangent lines, related rates, and accumulation — to solve application problems. Below are 3 practice questions with answers and step-by-step explanations, drawn from the 5 calculus application formulas problems our math games drill.

5 questions in the bank

Sample questions

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Question 1easy

The arc length formula is:

Arc length $= \int\!\sqrt{1 + [f'(x)]^2}\,dx$ .

Question 2easy

The average value of $f$ on $[a,\,b]$ is:

Average value $= \dfrac{1}{b - a}\int_a^b f(x)\,dx$ .

Question 3easy

The shell method volume formula is:

The shell method formula is $V = 2\pi\int x \cdot f(x)\,dx$ .

More Grade 12 skills:

Law of sines and cosines Convergence tests Degree-radian conversion Inverse trig domain and range Maclaurin series Polar and rectangular conversion Special limits Standard antiderivatives All Grade 12 practice →

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