MATH 2A Study Guide - Final Guide: Implicit Function, Hyperbola, Maxima And Minima

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 2A
• Professor: All

Document Summary

Cross out incorrect scratch-work: no calculators or other forms of assistance are allowed. As always, justify your answer. f (x) = (cid:26) x2 x < 3. 2ax x 3: (5 points) the theory of relativity predicts that an object whose mass is m0 when it is at rest will appear heavier when it is moving at speeds near the speed of light. When the object is moving at speed v, its mass m is given by where c is the speed of light. Use implicit differentiation to nd an equation of the tangent line to this curve at the point (1, 2): (5 points) little susie is enjoying a nice spherical lollipop. She sucks the lollipop in such a way that the circumference decreases by 1 centimeter per minute. How long does it take the package to reach the ground? (hint: the acceleration due to gravity is 32 f t/s2 downward.