In Exercises 27-32, convert the given exponential function to the form indicated. Round all coefficients to four significant digits. [ HINT: See “Before we go on” after Example 3.] f ( t ) = 23.4 ( 0.991 ) t ; f ( t ) = Q 0 e − k t
In Exercises 27-32, convert the given exponential function to the form indicated. Round all coefficients to four significant digits. [ HINT: See “Before we go on” after Example 3.] f ( t ) = 23.4 ( 0.991 ) t ; f ( t ) = Q 0 e − k t
Solution Summary: The author explains the exponential function f(t)=23.4 (0.991 )t.
In Exercises 27-32, convert the given exponential function to the form indicated. Round all coefficients to four significant digits. [HINT: See “Before we go on” after Example 3.]
f
(
t
)
=
23.4
(
0.991
)
t
;
f
(
t
)
=
Q
0
e
−
k
t
Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
Find the indefinite integral. (Remember the constant of integration.)
√tan(8x)
tan(8x) sec²(8x) dx
Find the indefinite integral by making a change of variables. (Remember the constant of integration.)
√(x+4)
4)√6-x dx
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