3.1. State the definition of a derivative of a function \( f(x) \). 3.2. Show that if \( f(x) \) is differentiable at \( x=a \), then \( f(x) \) is continuous at \( x=a \). 3.3. Let \( f(x)=\left\{\begin{array}{c}x+3, x<1 \\ (x+1)^{2}, x \geq 1\end{array}\right. \), and use the first principles to determine whether \( f(x) \) is differentiable at \( x=1 \).

1. What does the incident with Idek and the Polish girl reveal about power dynamics in the camp?

Using the sources and your knowledge of social studies, describe two challenges face by the European explorers that explored the New World. Cite evidence from your sources to support your claim.

- \( F(x)=\frac{\operatorname{sen}(2 x)}{\tan (3 x)} \)

Thursday "College Bound Challenge* Decide which number or expression is greater without multiplying. Circle the greater of the two in each pair. \( \begin{array}{ll}\text { (a) } 817 \text { or } 235 \times 817 \\ \text { (b) } 99 \text { or } \frac{1}{4} \times 99 \\ \text { (c) } \frac{51}{100} \text { or } \frac{51}{100} \times 301\end{array} \)

2) \( \frac{1}{2} x+y=1 \) \( -2 x-y=5 \) If \( (x, y) \) is a solution to the system of equations above, what is the value of \( x+y \) ?