10. A can do a piece of work in 80 days. He works at it for 10 days and then \( B \) alone finishes the remaining work in 42 days. In how many days could both do it? 11. A and B can together finish a work in 30 days. They worked at it for 20 days and then B left.

Evaluate the following Integrals 1. \( \int \sin ^{2} x \cos ^{5} x d x \quad(6 \) Marks) 2. \( \int \frac{d x}{\sqrt{-5-6 x-x^{2}}} \quad \) (7 Marks) 3. \( \int \frac{x^{2}+2}{(x+3)\left(x^{4}+2 x^{2}+1\right)} d x \quad \) (8Marks) 4. \( \int \frac{2 x^{3}+x^{2}-6 x+7}{x^{2}+x-6} d x \quad \) (7Marks)

Which graph represents the function \( f(x)=-x^{4}-14 x^{3}-61 x^{2}-84 x-36 ? \)

Sea \( f(x)=\frac{1}{x} \quad g(x)=x \) la función \( f(x) / g(x) \) será:

ס) \( |0|-|-1| \)

Which factor most strongly encouraged settlement of the West in the late 1800 s? ability to transport household goods free or cheap land protection by the military peace with Native Americans