141 views
owned this note
# Cooking With Calc - Cookies
- By Nick Walls and Mannan Shukla
## Ingredients
- [^7] cups all-purpose flour
- [^2] tablespoon baking soda
- [^6] tablespoon salt
- [^3] cup softened butter
- $\lim_{x \to \infty} \frac{3x^5+2x^2+5}{4x^5+3x^3+2x+1}$ cup granulated sugar
- $\text{slope of the tangent line of } x^3+2x^2\ \text{at } x = 0.167$ packed brown sugar
- [^4] tablespoon vanilla extract
- $\int_0^{0.848}x^2+5x\ dx$ large eggs
- $\frac{d}{dx}12x+1738$ oz NESTLÈ® TOLL HOUSE Semi-Sweet Chocolate Morsels
- [^5] cup chopped nuts
## Process
- Preheat oven to [^11]°F
- In a small bowl, combine flour, baking soda and salt
- In a large mixing bowl, beat butter, granulated sugar, brown sugar and vanilla extract until creamy
---
- Add eggs, one at a time, beating well after each addition
- Beat in flour mixture gradually
- Stir in morsels and nuts
---
- Drop onto ungreased baking sheets by rounded tablespoon
- Bake for [^8] to [^9] minutes or until golden brown
- Cool on baking sheets for [^bignote] minutes
**Makes about [^10] dozen cookies**
[^bignote]:
\begin{array} {|r|r|}\hline t (years) & 2 & 3 & 5 & 7 & 10 \\ \hline H(t) (meters) & 1.5 & 2 & 6 & 11 & 15 \\ \hline \end{array}
Use the data in the table to estimate $\frac{4H'(6)}{5}$
[^2]:
![](https://i.arxius.io/42f34d84)
evalute $\frac{1}{10}\int^6_1g(x)dx$ based on this graph
[^3]:
![](https://i.arxius.io/72f39f23)
$\text{Find }\ \frac{d^2H}{4dt^2}\ \text{at}\ t=0$
[^4]:
![](https://i.arxius.io/4bab9b3c)
find the value of $\frac{f(-6)}{3}$
[^5]:
(use the graph from #5)
$a$ is the absolute minimum value of $f$ on the closed interval $[-6,5]$ Find $\frac{a+2\pi}{7}$
[^6]:
(use the graph from #2)
$\text{if}\ f(1) = 3\ \text{find}\ \frac{2f(-5)}{25}$
[^7]:
$a \text{ is the average value of } \cos^2(\theta) \text{on the interval } [0,\frac{\pi}{2}]. \text{find } \frac{9a}{2}$
[^8]:
$\text{A region is bounded by the } x \text{-axis, x = 9, and } y=\sqrt(x) \text{. Square cross sections are perpendicular to the } x \text{-axis. } V \text{ is the volume of this solid. Find } \frac{18V}{81}$
[^9]:
$11\pi \lim_{x \to \pi} \frac{\cos(x) + \sin2x + 1}{x^2-\pi^2}$
[^10]:
![](https://i.arxius.io/d50a8e6b)
[^11]:
![](https://i.arxius.io/de05bc7e)