\f3. The sound pressure P (in decibels dB) for a given sound is given by P = 101032, where W is the size of a W I] variable energy source (called the sound power), in Watts, and W, is the lowest threshold of sound that humans can typically hear. It is known that W0 =10'l1 mez. (a) Noting that both P and W change with respect to time, nd the rate of change of the sound pressure with respect to time, t, if the sound power is 7.2 Watts and the rate of change of the sound power with respect to time is 0.5 Wattsfsecond. (b) Assume now that it is known that the sound power can be found by W = t2 + t +1 . Find the rate of change of the sound pressure at I = 3 seconds. (0) Now assume that W = cos(0.2r) . Find the rate of change of the sound pressure at t= 1 second. Section 3.9 Activity - Derivatives of Logarithmic Functions and Logarithmic Differentiation 1. Find each derivative: (a) log( 2k + k? ) ) ( b ) 2 In -Vo 2. Use the method of logarithmic differentiation to find the derivative of y= f(x) = * 2" Vx* + 1 Write your 5x-27/x answer strictly in terms of x