Exercise 3. (40 points) Suppose L > 0 and m, k = N. Show that 0 if mk, COS Licos (mzx) dx = 0 and COS L L Lcus (MIT) cos (KZT) .x Κπχ COS dx = L L if m = k.

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.

Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

a. Given: x=360 inches and y=5.10 inches. Compute Dia A to 2 decimal places. b. Given: Dia A=8.76 inches and x=10.52 inches. Compute t to 2 decimal places.