Using math functions, create a dog in desmos with an animation of it wagging its tail.

The animated design must meet the following criteria:

It must have a minimum of $10$ functions

It includes at least one of each of the functions below:

A$.$ Polynomial function $($degree $3$ or higher$)$

B$.$ Exponential function

C$.$ Logarithmic function

D$.$ Trigonometric function

E$.$ Rational function

F$.$ A sum or difference function with at least one local maximum or minimum. The two functions added must be from two different categories A$,$ B$,$ C$,$ D$,$ E $($eg$.$ a trig & a rational$)$

G$.$ A product function with at least one x intercept. The two functions multiplied must be from two

different categories A$,$ B$,$ C$,$ D$,$ E $($eg$.$ a trig & a rational$)$

H$.$ A quotient function. The two functions that are divided must be from two different categories A$,$ B$,$ C$,$ D$,$ E $($eg$.$ a trig & a rational$)$

I. A composite function. The inner and outer function must be from two different categories from the categories above A$,$ B$,$ C$,$ D$,$ E $($eg$.$ trig & a rational$)$

J$.$ No other functions allowed. This means no linear, quadratic, absolute value functions

allowed or functions that were not covered in this course. You must not use functions that simplify linear or quadratic functions.