Three pieces of string, each of length l, are joined together end to end, to make a combined string of length 3 l. the first piece of string has mass per unit length μ1, the second piece has mass per unit length μ2=4μ1, and the third piece has mass per unit length μ3=μ1/4. (a) if the combined string is under tension f, how much time does it take a transverse wave to travel the entire length 3l? give your answer in terms of l, f, and μ1. (b) does your answer to part (a) depend on the order in which the three pieces are joined together? explain.

explanation:

as the height from which the ruler was dropped increased, the speed of the ruler at ryan's hand increased.

d. platinum would have the greatest temperature increase because it has the lowest specific heat.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .