# SymPy


```python
%matplotlib inline

import sympy as sp
import numpy as np
import matplotlib.pyplot as plt
```

---
## Part I

$$ \Large {\displaystyle f(x)=3e^{-{\frac {x^{2}}{8}}}} \sin(x/3)$$

* Find the first four terms of the Taylor expansion of the above equation (at x = 0)
* Make a plot of the function
* Plot size 10 in x 4 in
* X limts -5, 5
* Y limits -2, 2
* On the same plot:
  * Over-plot the 1-term Taylor expansion using a different color/linetype/linewidth
  * Over-plot the 2-term Taylor expansion using a different color/linetype/linewidth
  * Over-plot the 3-term Taylor expansion using a different color/linetype/linewidth
  * Over-plot the 4-term Taylor expansion using a different color/linetype/linewidth


```python

```


```python

```


```python

```

---
## Part II

$$\Large {\displaystyle g(x)=x^{2} - 0.75}$$


#### What are the value(s) for `x` where f(x) = g(x)


```python

```


```python

```


```python

```

---
### Due Mon Mar 02 - 1 pm
- `File -> Download as -> HTML (.html)`
- `upload your .html file to the class Canvas page`


```python

```

ab14f7d4a7233b1007027757a0d5ea6d9b635924
ipynb
Jupyter Notebook
FirstLast_Sympy.ipynb
UWashington-Astro300/Astro300-W20
cc786bc8491193a5d20e1cd47c93927405f694ff
MIT
FirstLast_Sympy.ipynb
UWashington-Astro300/Astro300-W20
cc786bc8491193a5d20e1cd47c93927405f694ff
MIT
FirstLast_Sympy.ipynb
UWashington-Astro300/Astro300-W20
cc786bc8491193a5d20e1cd47c93927405f694ff
MIT
Qwen/Qwen-72B
1. YES
2. YES