Evaluate the following integral: ∫(cos⁡?)^5 dx    Pie/2 uppper  0 lower Where: sin(pie/2)=cos(0)=1, ⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡sin(0)=cos(pie/2)=0

Use sin0=0, sin2=1, and sin=0 to estimate sin3.

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.

Sketch the graph of y=2sinx from x=0 to x=2 by making a table using multiples of /2 for x. What is the amplitude of the graph you obtain?