Calculus
Calculus Warmups
True or False?
If we differentiate the volume of a sphere with respect to the radius, we will obtain the surface area.
True or False?
The constant \( e \) is rational.
True or False?
\(i^ i \) is not a real number.
True or False?
\[ \frac{1}{ 1^2 } + \frac{1}{2^2 } + \frac{ 1 } { 3^2 } + \frac{1}{4^2 } + \ldots = \frac{ \pi ^2 } { 6 } \]
True or False?
There is a volume of revolution which has infinite volume but finite surface area.