MAT102S - Introduction to Mathematical Proofs - UTMProblem Set A - Spring 2010Here are the Exercises assigned:1.2.Fill in the blanks. The equationx2+bx+c= 0 has exactly one solution when,and it has no solutions when.1.5.(-)Consider the Celsius (C) and Fahrenheit (F) temperature scales.C051015202530F32415059687786Express the sentence “The temperature was 10◦C and increased by 20◦C ” using the Fahrenheitscale.1.6.(-)At a given moment, letfandcbe the values of the temperature on the Fahrenheit and Celsiusscales, respectively.These values are related byf= (9/5)c+ 32.At what temperatures do thefollowing events occur?a)The Fahrenheit and Celsius values of the temperature are equal.b)The Fahrenheit value is the negative of the Celsius value.c)The Fahrenheit value is twice as the Celsius value.1.7.(-)The statement below is not always true forx, y∈R. Give an example where it is false, and adda hypothesis onythat makes it a true statement.
This is the end of the preview.
access the rest of the document.