MTH 251 Written Homework 2 - Winter 2020 Due Thursday, Jan. 23 by 11:59 PM Page 1 of 2 Instructions: Put your solutions on a separate piece(s) of paper. You may use this page as a cover sheet. Generally it is good to explain your work: an important facet of mathematics is explaining how you arrived at the answer, and not just stating the answer. (On exams you will be required to show your work for some problems.) Submission for credit: you may submit your homework to Canvas up until 11:59 PM on Thurs- day, January 23. After 11:59 PM it will be late. Late homework is not accepted. To submit it to Canvas, scan your document as a pdf file. Canvas will only accept pdf files. (1) Find the value(s) of b so that the following functon is continuous on all real numbers, or state that no such values exist. Justify your work. f (20) = 1 2x2 + 3x - 36 162 + 20 x> 1 (2) The hyperbolic sine function is defined as sinh x = 2 (a) Determine its end behavior by evaluating lim sinh x and lim sinhx. 20 - - 00 "b) Evaluate sinh 0. Use the symmetry about the origin of the graph of the function and part (a) to sketch a plausible graph for y = sinh x