MATH 1680 Study Guide - Midterm Guide: Exponential Decay, Graphing Calculator, Stationary Point
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Name: (12 points) find an equation for the line tangent to the graph of f (x) = xe 2x+4 at the point (2, f (2)), (12 points) in 1985, the tuition at yale university was per year. Write a sentence to justify your answer: (12 points) find an equation for the line tangent to the graph of f (x) = x2 ln(x) at the point (1, f (1)). How much more would the nal amount be if the investment is compounded continuously. (b) suppose the half life of a radioactive substance is one year. Find the decay constant k. (c) suppose the time required for a continuously compounded investment to triple is 12 years. What is the time required to double. (d) suppose q(t) = What is k? (e) solve the equation ln(x + 2) ln(4x + 3) = ln(1/x). (f) solve for x: 2e2x 11ex + 15 = 0.
