AP Calculus BC Unit 12 Exam Questions
and Answers
How do you find the area of the surface of a revolution? - Correct Answers -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)? - Correct Answers -1/absolute value of x times (x^2-
1)^1/2
How do you find arc length? - Correct Answers -The integral from a to b of (1+
[f'(x)]^2)^1/2
How do you find Mx in planar lamina? - Correct Answers -rho times the integral from a
to b of [f(x)+g(x)/2][f(x)-g(x)]dx
How do you find My in planar lamina? - Correct Answers -rho times the integral from a
to b of x[f(x)-g(x)]dx
How do you find m in planar lamina? - Correct Answers -rho times the integral from a to
b of [f(x)-g(x)]dx
What is the definition of fluid pressure - Correct Answers -P=wh
P=pressure
w=weight-density
h=depth
What is the derivative of sin(u)? - Correct Answers -cos(u)
What is the derivative of cos(u) - Correct Answers --sin(u)
How do you find work? - Correct Answers -Work = Force x Distance
What is Hooke's Law? - Correct Answers -Force = constant k times distance
For springs
How do you find work done by a variable force? - Correct Answers -The integral from a
to b of the area times "distance"
F(x) being a continuously varying force
How do you find My? - Correct Answers -m1x1 + m2x2...
and Answers
How do you find the area of the surface of a revolution? - Correct Answers -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)? - Correct Answers -1/absolute value of x times (x^2-
1)^1/2
How do you find arc length? - Correct Answers -The integral from a to b of (1+
[f'(x)]^2)^1/2
How do you find Mx in planar lamina? - Correct Answers -rho times the integral from a
to b of [f(x)+g(x)/2][f(x)-g(x)]dx
How do you find My in planar lamina? - Correct Answers -rho times the integral from a
to b of x[f(x)-g(x)]dx
How do you find m in planar lamina? - Correct Answers -rho times the integral from a to
b of [f(x)-g(x)]dx
What is the definition of fluid pressure - Correct Answers -P=wh
P=pressure
w=weight-density
h=depth
What is the derivative of sin(u)? - Correct Answers -cos(u)
What is the derivative of cos(u) - Correct Answers --sin(u)
How do you find work? - Correct Answers -Work = Force x Distance
What is Hooke's Law? - Correct Answers -Force = constant k times distance
For springs
How do you find work done by a variable force? - Correct Answers -The integral from a
to b of the area times "distance"
F(x) being a continuously varying force
How do you find My? - Correct Answers -m1x1 + m2x2...
