Suppose that P , y and t are variables, where P is a function of y an y is a function of t . Write the derivative symbols for the following quantities (i) the rate of change of y with respect to t , (ii) the rate of change of P with respect to y ,(iii) the rate of change of P with respect to t . Select your answers from the following: d P d y , d y d P , d y d t , d P d t , d t d P , and d t d y . Write the chain rule for d P d t .
Suppose that P , y and t are variables, where P is a function of y an y is a function of t . Write the derivative symbols for the following quantities (i) the rate of change of y with respect to t , (ii) the rate of change of P with respect to y ,(iii) the rate of change of P with respect to t . Select your answers from the following: d P d y , d y d P , d y d t , d P d t , d t d P , and d t d y . Write the chain rule for d P d t .
Solution Summary: The author explains the derivative symbol for the quantities given below, where P is afunction of y and
Suppose that
P
,
y
and
t
are variables, where
P
is a function of
y
an
y
is a function of
t
.
Write the derivative symbols for the following quantities (i) the rate of change of
y
with respect to
t
, (ii) the rate of change of
P
with respect to
y
,(iii) the rate of change of
P
with respect to
t
. Select your answers from the following:
d
P
d
y
,
d
y
d
P
,
d
y
d
t
,
d
P
d
t
,
d
t
d
P
,
and
d
t
d
y
.
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
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