The acidity of a substance is measured by its pH value, which is defined by the formula pH = − log H + where the symbol H + denotes the concentration of hydrogen ions measured in moles per liter. Distilled water has a pH of 7 ; a substance is called acidic if it has pH < 7 and basic if it has pH > 7 . Find the pH of each of the following substances and state whether it is acidic or basic.
The acidity of a substance is measured by its pH value, which is defined by the formula pH = − log H + where the symbol H + denotes the concentration of hydrogen ions measured in moles per liter. Distilled water has a pH of 7 ; a substance is called acidic if it has pH < 7 and basic if it has pH > 7 . Find the pH of each of the following substances and state whether it is acidic or basic.
The acidity of a substance is measured by its
pH
value, which is defined by the formula
pH
=
−
log
H
+
where the symbol
H
+
denotes the concentration of hydrogen ions measured in moles per liter. Distilled water has a
pH
of
7
;
a substance is called acidic if it has
pH
<
7
and basic if it has
pH
>
7
. Find the pH of each of the following substances and state whether it is acidic or basic.
#3 Find the derivative y' = of the following functions, using the derivative rules:
dx
a) y-Cos 6x b) y=x-Sin4x c) y=x-Cos3x d) y=x-R CD-X:-:TCH :D:D:D - Sin
f)
Sin(x²) (9) Tan (x³)
mate
hat is the largest area that can be en
18 For the function y=x³-3x² - 1, use derivatives to:
(a) determine the intervals of increase and decrease.
(b) determine the local (relative) maxima and minima.
(c) determine the intervals of concavity.
(d) determine the points of inflection.
b)
(e) sketch the graph with the above information indicated on the graph.
use L'Hopital Rule to evaluate the following.
a) 4x3 +10x2
23009׳-9
943-9
b) hm
3-84
хто бу+2
< xan
x-30650)
Chapter 1 Solutions
Calculus Early Transcendentals, Binder Ready Version
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