MATH 140 Study Guide - Quiz Guide: List Of Arrested Development Characters

• School: McGill University
• Department: Mathematics and Statistics
• Course: MATH 140
• Professor: All

Document Summary

A quiz based on two of the following questions will be given in class on tuesday. Think of these questions as a very helpful pre-test. Only the quiz will be marked, do not hand in solutions to these questions. Full marks will be awarded for complete solutions, the correct answer is only worth a portion of the marks. Consider the implicitely de ned function x2 + y3 = ln(xy). (a) compute dy dx and show that the slope of the tangent line at the point ( 1, 1) = 4 (b) use your result from (a) to nd an equation for the line tangent to x2 + y3 = ln(xy) at ( 1, 1) Suppose the area of a circle is increasing at a rate of 1 metre2/second. (a) find an equation for a(c), the area as a function of the circumference. Double check that a(2 ) = (b) if the area is increasing as described above, show that.