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Simplify the following expressions by writing each one using a single trigonometric function.

Integrate using the method of trigonometric substitution. Express the final answer in terms of the variable.

Throughout most of human history, people lived in relatively small, egalitarian bands. With the advent of farming, stratified societies began to emerge and today dominate the human landscape. Conclusion

Evaluate the integral

integrate (dt) / (square root of t^2 + 6t -8)

First rewrite the integrand by completing the square in the expression under the radical. Then write the expression as the difference of two sqares one of which is a binomial. Finally evaulate use C as arbitary constnat.

In your own words make an argument for how factors of the Home, School, and Community impacts a student’s academic success. 2 full pages

Use the technique of completing the square to express each trinomial as the square of a binomial or the square of a binomial plus a constant.

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