4. a) Determine the equation of the inverse of the given function. State the domain and range.f(x) = -3 (x – ;)* +2.b) Is the inverse a function? CircleYesNoExplain. Graph the inverse of the given function on the same grid.

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Answered: 4. a) Determine the equation of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Body surface area is an important piece of medical information because it is a factor in temperature regulation as well as some drug level determinations. The Mosteller formulat gives one way of estimating body surface area 8 in square meters. The formula uses the weight w in kilograms and the height h in centimeters. The relation is Vhw 60 In this exercise we consider people who are 190 centimeters tall. (a) Write a formula for 8 as a function of w. (b) Make a graph of 8 versus w. Include weights up to 100 kilograms. 3.0 3.0r 25 25 20 20 15 15 1.0 1.0 05 0.5 00 w 00 20 40 60 80 100 20 40 60 80 100 3.0. 3.0 25 25 20 20 1.5 15 1.0 1.0 05 05 w 100 0.0 20 10 60 80 20 10 60 80 100 (c) Is the graph you made in part (b) concave up or concave down? O concave up O concave down (d) In this part we consider the effect of weight gain on men who are 190 centimeters tall. Would the weight gain have a greater effect on surface area for a lighter man or for a he avier man? O lighter man O heavier man
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2. Summarize what you have learned about functions. Can all relationships between variables qualify as functions? How can you represent and describe functions? How are functions useful in the real world?

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4. a) Determine the equation of the inverse of the given function. State the domain and range. f(x) = -3 (x - )´ + 2 b) Is the inverse a function? Circle Yes No Explain.