. The aim of this problem is to describe the automorphism group of an annulus, and in the process also answer the following question: when are two annuli conformally equivalent? The modulus of an annulus {z : a < |z − z0| < b} with inner radius a and outer radius b is defined to be 1 2π log b a . (a) Show that any conformal map from one annulus centred at the origin to another such annulus extends to a confor

Malia is observing the velocity of a cyclist at different times. after two hours, the velocity of the cyclist is 15 km/h. after five hours, the velocity of the cyclist is 12 km/h. part a: write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. show your work and define the variables used. (5 points) part b: how can you graph the equations obtained in part a for the first 12 hours? (5 points) if you can try and make this as little confusing as you can

An alternative to car buying is to make monthly payments for a period of time, and then return the vehicle to the dealer, or purchase it. this is called

Write an inequality for this description. - one fourth of the opposite of the difference of five and a number is less than twenty.