[12 points] 7. Knowing that: \( \lim _ { x \rightarrow 4 } ( 2 x - 5 ) = 3 \) , what values of \( x \) guarantee that \( f ( x ) = 2 x - 5 \) is within
a) \( 1 \) unit of \( 3 \) ?
b) \( 0.6 \) units of \( 3 \) ?
c) \( 0.09 \) units of \( 3 \) ?
d) \( \epsilon \) units of \( 3 \) ?
See the solution box
Find the solution of the exponential equation \( 16 e ^ { x } = 12 \) in terms of logarithms, or correct to four decimal places. \( x = \)
Certain radioactive material decays in such a way that the mass remaining after \( t \) years is given by the function
\( m ( t ) = 100 e ^ { - 0.01 t } \)
where \( m ( t ) \) is measured in grams. (a) Find the mass at time \( t = 0 \) . Your answer is (b) How much of the mass remains after \( 20 \) years? Your answer is Round answers to \( 1 \) decimal place.
![[12 points] 7. Knowing that: \( \lim _ { x \righta...](https://static.cameramath.com/jkyx9y2yhe/ccf3180f1abb82d7db21538373bdf3ad)
