A function f is given by f ( x ) = 1 ( x − 5 ) 2 . This function takes a number x , subtracts 5 from it, squares the result, and takes the reciprocal of the square. Find f ( 3 ) , f ( − 1 ) , f ( k ) , and f ( x + h ) .
A function f is given by f ( x ) = 1 ( x − 5 ) 2 . This function takes a number x , subtracts 5 from it, squares the result, and takes the reciprocal of the square. Find f ( 3 ) , f ( − 1 ) , f ( k ) , and f ( x + h ) .
Solution Summary: The author explains how to calculate the values of f(3) and c.
A function
f
is given by
f
(
x
)
=
1
(
x
−
5
)
2
.
This function takes a number
x
, subtracts 5 from it, squares the result, and takes the reciprocal of the square. Find
f
(
3
)
,
f
(
−
1
)
,
f
(
k
)
, and
f
(
x
+
h
)
.
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
Chapter R Solutions
Pearson eText Calculus and Its Applications, Brief Edition -- Instant Access (Pearson+)
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