Stitz-Zeager_College_Algebra_e-book

# 001 millimeters recorded on a seismometer 100

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Unformatted text preview: a function of x. Let’s assume that the Cobb-Douglas production model for the country of Sasquatchia is P = 1.23x0.4 y 0.6 . (a) Let P = 300 and solve for y in terms of x. If x = 100, what is y ? (b) Graph the isoquant 300 = 1.23x0.4 y 0.6 . What information does an ordered pair (x, y ) which makes P = 300 give you? With the help of your classmates, ﬁnd several diﬀerent combinations of labor and capital all of which yield P = 300. Discuss any patterns you may see. 9. According to Einstein’s Theory of Special Relativity, the observed mass m of an object is a function of how fast the object is traveling. Speciﬁcally, m(x) = mr 1− x2 c2 where m(0) = mr is the mass of the object at rest, x is the speed of the object and c is the speed of light. (a) Find the applied domain of the function. (b) Compute m(.1c), m(.5c), m(.9c) and m(.999c). (c) As x → c− , what happens to m(x)? (d) How slowly must the object be traveling so that the observed mass is no greater than 100 times its mass at rest? √ 10. Show that 3 2 is an irrational number by ﬁrst showing that it is a zero of...
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