Step by step

B1. At time , Boat A is at position A(t) and Boat B is at position B(t). Both boats move at a constant velocity. Boat A is initially at (2,1) and moves at a constant velocity of (3,1). Boat B is initially at (4, 5) and moves at a constant velocity of (2,3). Units of distance are miles and units of time are hours, but are suppressed in the problem. (a) Identify a formula for A(t) and B(t). (b) When are the boats closest to each other? You are not required to calculate how far apart they are at this time, just compute the time. B2. Take A to be the set that is given by A={(z,y): 22 +9* -5z +1=0}. Transform A to obtain a set B by asymmetrically scaling A along the z-axis by a factor of 3 and along the y-axis by a factor of 7, reflecting the result across pow, and then translating by (5, 2). Identify an equation that describes B. B3. Take A be a function that models a quantity that changes by the same factor on time intervals of the same length. Here are some values for A(t): (a) Identify a formula for A(%). (b) Determine the time it takes for 2-ths of the quantity to remain. () Determine the decay rate of the quantity