Optimization - Elvis the Dog 4.7 Elvis the Calculus Wonderdog! Newton's Method 4.8 A dynamic ... parametric curve is constructed from two individual functions: one for the x coordinate and one for the ...

Serves as a continuation of Calculus I. Integration and techniques of integration ... Infinite series, power series, Maclaurin and Taylor series. Polar coordinates and areas and lengths in polar ...

Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...

Double and triple integrals in Cartesian, polar and spherical coordinates. Vector fields and the fundamental theorems of vector calculus developed, line and surface integrals, Green's theorem, ...