In Exercises 14–18 , interpret the expression in terms of Arctic Sea ice extent, the area of sea covered by ice. 3 Let E ( x ) and F ( t ) be the Arctic Sea ice extent, both in millions of square kilometers, as a function of time, x , in years, since February 1979, and time, t , in days, since December 31, 2014. E ( 29 ) − E ( 4 ) 29 − 4 = − 0.04
In Exercises 14–18 , interpret the expression in terms of Arctic Sea ice extent, the area of sea covered by ice. 3 Let E ( x ) and F ( t ) be the Arctic Sea ice extent, both in millions of square kilometers, as a function of time, x , in years, since February 1979, and time, t , in days, since December 31, 2014. E ( 29 ) − E ( 4 ) 29 − 4 = − 0.04
In Exercises 14–18, interpret the expression in terms of Arctic Sea ice extent, the area of sea covered by ice.3 Let E(x) and F(t) be the Arctic Sea ice extent, both in millions of square kilometers, as a function of time, x, in years, since February 1979, and time, t, in days, since December 31, 2014.
In Exercises 139–142, determine whether each statement is true
or false. If the statement is false, make the necessary change(s) to
produce a true statement.
log, 8 8
140. log(-100) = -2
139.
log, 4
141. The domain of f(x) = log, x is (-0∞, ∞).
4
142. log, x is the exponent to which b must be raised to obtain x.
Your cardiac index is your heart's output, in liters of blood per
minute, divided by your body's surface area, in square meters. The
cardiac index, C(x), can be modeled by
7.644
C(x) =
10 s xs 80,
where x is an individual's age, in years. The graph of the function
is shown. Use the function to solve Exercises 95–96.
7.644
C(x) =
%3D
10 20 30 40 50 60 70 80 90
Age
95. a. Find the cardiac index of a 32-year-old. Express the
denominator in simplified radical form and reduce the
fraction.
b. Use the form of the answer in part (a) and a calculator
to express the cardiac index to the nearest hundredth.
Identify your solution as a point on the graph.
96. a. Find the cardiac index of an 80-year-old. Express the
denominator in simplified radical form and reduce the
fraction.
Cardiac Index
liters per minute
squar e met ers
654 32
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How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY