Defining and Differentiating Parametric Equations
Alright, let's kick things off with parametric equations. For most of your math career, you've been
Finding Arc Length of a Curve Given by Parametric Equations
Alright, so we've got curves defined parametrically, and we can find their slopes and concavity. But
Defining and Differentiating Vector-Valued Functions
Alright, let's level up! Parametric equations are essentially the components of a vector-valued func
Solving Motion Problems Using Vector-Valued Functions
Alright, this is where we put our vector-valued function knowledge to work in classic AP Calculus BC
Defining and Differentiating Polar Coordinates and Equations
Alright, time for another change of scenery! We're leaving the rectangular (x, y) world for a bit an
Finding the Area of a Region Bounded by a Polar Curve
Okay, we've found slopes in polar, now let's find areas! How do you find the area 'inside' a polar c
Finding Arc Length of a Polar Curve
You thought we were done with arc length? Nope! We've done it for rectangular, we've done it for par
Defining and Analyzing Curves in Three-Dimensional Space
Alright, for the grand finale, let's blast off into three dimensions! Everything we've learned about