Equations Inequalitle omework Lecture 17Trigonometric ore 0

Equations & Inequalitle omework: Lecture 17-Trigonometric ore: 0 of 1 pt 6.51 The pressures caused by pure tones on the eardrum are sinusoidal. The change in pressure P in pounds per square foot on a per Save HW Score: 63.64%, 7 of 11 p 90f11(8 complete) Question Help person\'s eardrum from a pure tone at time t in seconds can be modeled using the equaton P | Asin (2xit + ), where fis the frequency ncydes per second and the phase angle when Ps post o there is an increase in pressure and the eardrum is pushed inward, when P is negative, there is a decrease in pressure and the eardrum is pushed outward Agraph of a tone P)00225 84. s shown to the right Compte parts hrough (c) below 006 (a) Determine algebracally the values of t 5or which P-oover 10, 0001 The solution set is (Round to five decimal places as needed Use a comma to separate answers as needed ) Enter your answer in the answer box and thon click Check Answer Clear All javascriptdoExercise(9); 10/2

Solution

1) .006 sin [ 2pi ( 255.84 ) t + pi/7 ] = 0

dividing both sides by .006

sin [ 2pi ( 255.84 ) t + pi/7 ] = 0

[ 2pi ( 255.84 ) t + pi/7 ] = 0 + 2n*pi

[ 2pi ( 255.84 ) t + pi/7 ] = pi + 2n*pi

t = 25 ( 2n + 3) / 44772 , 25 ( 14n -1 ) / 89544

solution in the interval [ 0, .005 ] is

t = 0.00168 , 0.00363