In Problems 1 and 2, y 1(1 c1ex ) is a one-parameter family of solutions of the first-order DE y y y2 . Find a solution of the first-order IVP consisting of this differential equation and the given initial condition.

Which of the following transformations will always produce a congruent figure?

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.

What fraction is equivalent to 0.46464646··· a. 46⁄999 b. 46⁄100 c. 46⁄99 d. 23⁄50