Find the arc length of the graph of the function over the indicated interval. y 1 = 23 √(x² + 1) ³/2 y 40 30 20 20 10 X -1 1 2 3 4 5

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.