Electrical pulses with independent and identically distributed random ampli- tudes ξ1,ξ2,... arrive at a detector at random times W1,W2,... according to a Poisson process of rate λ. The detector output θk(t) for the kth pulse at time t is 0 for t < Wk, θk(t)= ξkexp{−α(t−Wk)} That is, the amplitude impressed on the detector when the pulse arrives is ξk, and its effect thereafter decays exponentially at rate α. Assume that the detector is additive, so that if N(t) pulses arrive during the time interval [0,t], then the output at time t is:

When someone slams her books on a table the kinect energy is transferred into vibrations that travel to your ears as sound waves which statement describes the movement of those waves

You have two photos of a person walking. one shows the person at the corner of third and main streets, the other shows the person at the corner of tenth and main streets. there are lampposts at every corner in this town, and the first picture shows it to be 10: 32: 00 exactly. the second picture shows it to be 10: 49: 30. you know three facts: (1) all of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross main in this area are numbered consecutively, with no interruptions. what is the person’s average speed in kilometers per hour?

Given the data calculated in parts a, b, c, and d, determine the initial rate for a reaction that starts with 0.85 m of reagent a and 0.70 m of reagents b and c?