AP Calculus BC Unit 12 Exam Q&A 100%
Guaranteed Success
How do you find the area of the surface of a revolution? - ✔✔2pi integral from a
to b r(x)(1+[f'(x)]^2dx
where r(x) is the distance between the graph of f and the axis of revolution.
What is the derivative of arcsec(x)? - ✔✔1/absolute value of x times (x^2-1)^1/2
How do you find arc length? - ✔✔The integral from a to b of (1+[f'(x)]^2)^1/2
What is the derivative of sin(u)? - ✔✔cos(u)
What is the derivative of cos(u) - ✔✔-sin(u)
How do you find work? - ✔✔Work = Force x Distance
What is Hooke's Law? - ✔✔Force = constant k times distance
For springs
How do you find work done by a variable force? - ✔✔The integral from a to b of
the area times "distance"
F(x) being a continuously varying force
How do you find My? - ✔✔m1x1 + m2x2...
How do you find Mx? - ✔✔m1y1 + m2y2...
Page 1 of 2
©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025.
Guaranteed Success
How do you find the area of the surface of a revolution? - ✔✔2pi integral from a
to b r(x)(1+[f'(x)]^2dx
where r(x) is the distance between the graph of f and the axis of revolution.
What is the derivative of arcsec(x)? - ✔✔1/absolute value of x times (x^2-1)^1/2
How do you find arc length? - ✔✔The integral from a to b of (1+[f'(x)]^2)^1/2
What is the derivative of sin(u)? - ✔✔cos(u)
What is the derivative of cos(u) - ✔✔-sin(u)
How do you find work? - ✔✔Work = Force x Distance
What is Hooke's Law? - ✔✔Force = constant k times distance
For springs
How do you find work done by a variable force? - ✔✔The integral from a to b of
the area times "distance"
F(x) being a continuously varying force
How do you find My? - ✔✔m1x1 + m2x2...
How do you find Mx? - ✔✔m1y1 + m2y2...
Page 1 of 2
©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025.
