Briefly explain the importance of the following to early river valley civilizations from 3500–450 B.C. 3.polytheism

Find the sum of each infinite geometric series.

$$\sum _ { i = 1 } ^ { \infty } 8 ( - 0.3 ) ^ { i - 1 }$$

Identify each number as rational or irrational. Explain.

$$\sqrt { 15 }$$

What event or development in early human history do you think is of particular significance? Why?

Which technology of the New Stone Age had the most impact on daily life? Explain.

Why did a system of record keeping develop in civilizations?

Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine.

$$\cos ^ { 4 } x \sin ^ { 2 } x$$

Why did the growth of civilization make government necessary?

What role did the food supply play in shaping the nomadic life of hunter-gatherers and the settled life of farmers?

Fill in the letter of the choice that best answer the question. A farmer has used contour plowing to prepare a field before planting a crop in it. How does this type of plowing help protect soil? A. It guards against insects. B. It uses very little water. C. It prevents disease. D. It prevents erosion.

Why do some archaeologists believe that women were the first farmers?

Why did the ability to walk upright and the development of the opposable thumb represent important breakthroughs for early hominids?

Briefly explain its connection to human prehistory. 10.Bronze Age

A differential amplifier uses two transistors whose $\beta$ values are $\beta_{1}$ and $\beta_{2}.$ If everything else is matched, show that the input offset voltage is approximately $V_{T}\left[\left(1 / \beta_{1}\right)-\left(1 / \beta_{2}\right)\right].$ Evaluate $V_{\text {os}}$ for $\beta_{1}=50$ and $\beta_{2}=100.$