Aregion r in the xy-plane is given. find equations for a transformation t that maps a rectangular region s in the uv-plane onto r, where the sides of s are parallel to the u- and v- axes. (let u play the role of r and v the role of θ. enter your answers as a comma-separated list of equations.) r lies between the circles x2 + y2 = 1 and x2 + y2 = 7 in the first quadrant

Awrestling tournament begins with 128 competitors. in the first round, each competitor has 1 match against another wrestler. the winner of each match moves on to the next round until there is a winner. write a sequence in which the terms represent the number of players still in the tournament at the end of each round. describe the sequence? how many rounds are in the tournament?

Write a function that matches the description. a cosine function has a maximum of 5 and a minimum value of -5. f (r) =

Ametal rod is 2/5 meters long. it will be cut into pieces that are each 1/30 meters long. how many pieces will be made from the rod?