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1. Let f(x)=(x^2+1)(2x-3) Find the equation of the line tangent to the graph of f(x) at...

1. Let f(x)=(x^2+1)(2x-3)

Find the equation of the line tangent to the graph of f(x) at x=3.

Find the value(s) of x where the tangent line is horizontal.

2. The total sales S of a video game t months after being introduced is given by the function

S(t)=(5e^x)/(2+e^x )

Find S(10) and S'(10). What do these values represent in terms of sales?

Use these results to estimate the total sales at t=11 months after the games release.

Math   Calculus   
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