Chapter 10: Parametric, Vector, and Polar Functions (pp.
513-572)
It is the goal of the instructor that the students will be able
to:
• find derivatives and second derivatives
of parametrically defined functions.
• calculate lengths of parametrically defined curves and calculate
surface areas.
• represent vectors in the form
<a, b> and perform algebraic computations involving vectors.
• differentiate and integrate vector-valued functions.
• analyze the motion of a particle in space given its position,
velocity, or acceleration as a vector function of time.
• solve problems involving ideal projectile motion and projectile motion
with air resistance.
• graph polar equations and determine the symmetry of polar graphs.
• convert Cartesian equations into polar form and vice versa.
• calculate slopes, lengths, areas of regions in the plane, and surface
areas determined by polar curves. |
Section Notes
10.1
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