Gens

Point P(2,3) is on the graph of f, find the corresponding point on the graph of y=-3f(x+2)-4 I have it solved, but I don't understand how to solve it. What I have: P(2,3)---> (0,-13) y values multiplied by -3 and subtract 4 x values minus 2 Can somebody explain the process in details please.

The overall length of a piccolo is 32.0 cm. The resonating air column vibrates as in a pipe that is open at both ends. a. Find the frequency of the lowest note a piccolo can play, assuming the speed of sound in air is 340 m/s. b. Opening holes in the side effectively shortens the length of the resonant column. If the highest note a piccolo can sound is 4000 Hz, find the distance between adjacent antinodes for this mode of vibration. Open-Open system, so Lambda=2L (1st Harmonic, Am I right here?) =2(0.32m)=0.64m Frequency=340m/s / 0.64m=531.25Hz ----------->a. Is that right? b) F=4000Hz, Distance=x, antinode = 1/2 of Lambda? so 0.16m ------------> Is that right? I am confused at this point.

Time= distance/speed so 4m/340m/s=0.011s (time needed to travel 4m in air) 0.011s - x=0.011s ??? (x=time needed for the sound to travel trough the metal?) -x=0 ???

1. A hammer taps on the end of a 4 m long metal bar at room temperature. A microphone at the other end of the bar picks up two pulses of sound, one that travels through the metal and one that travels through the air. The pulses are separated in time by 11.0 ms. What is the speed of sound in this metal? I know that sound travels faster in metal than in air. What does 4m metal bar supposed to represent? Does pulses of sound mean "Beats"? I am confused here.