Khan Academy
Khan Academy: Calculus: 2011 Calculus Bc Free Response #3A
Video shows how to use integrals to write a formula for the perimeter of an area bounded on one side by a function. Includes showing how to derive the arc length formula. [5:41]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Bc Free Response #6A
Video shows how to write the first four nonzero terms of the Taylor series for a function. [7:42]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Bc Free Response #1 (B & C)
Video shows how to find the slope of the tangent line to a particles path using the derivatives of the parametric equations representing the particle. Also shows how to integrate the derivatives of the parametric equations along with...
Khan Academy
Khan Academy: Calculus: 2011 Calculus Bc Free Response #6C
Video shows how to use the Taylor series of a function which was found in the previous video to find the sixth derivative of the function at 0. [2:58]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Bc Free Response #3 (B & C)
Video shows how to use the disk method to find the volume of a solid of rotation. Also shows how to use the chain rule to find the rate of change of the volume as the length of the solid changes. [8:26]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Bc Free Response #6D
Video shows how to calculate the Lagrange error bound for a Taylor series polynomial approximation. [11:52]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Bc Free Response #6B
Video shows how to find the first four nonzero terms of a Taylor series of cos x. Also shows how to combine Taylor series for parts of a function to create a Taylor series for the entire function. [9:59]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Bc Free Response #1D
Video shows how to derive the arc length formula and how to use it to determine the total distance a particle traveled during a given time interval. [8:34]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Bc Free Response #1A
Video shows how to find the velocity and acceleration vectors of a particle at a given time by using the derivatives of the parametric equations representing the particle. Also shows how to find the magnitude of the velocity vector in...