Digital Music Revenues The total worldwide digital music revenues R , in billions of dollars, for the years 2012 through 2017 can be modeled by the function R ( x ) = 0.15 x 2 − 0.03 x + 5.46 Where x is the number of years after 2012. Find R ( 0 ) , R ( 3 ) , and R ( 5 ) and explain what each value represents. Find r ( x ) = R ( x − 2 ) . Find r ( 2 ) , r ( 5 ) , and r ( 7 ) and explain what each value represents. In the model r = r ( x ) , what does x represents? Would there be an advantage in using the model r when estimating the projected revenues for a given year instead of the model R ?
Digital Music Revenues The total worldwide digital music revenues R , in billions of dollars, for the years 2012 through 2017 can be modeled by the function R ( x ) = 0.15 x 2 − 0.03 x + 5.46 Where x is the number of years after 2012. Find R ( 0 ) , R ( 3 ) , and R ( 5 ) and explain what each value represents. Find r ( x ) = R ( x − 2 ) . Find r ( 2 ) , r ( 5 ) , and r ( 7 ) and explain what each value represents. In the model r = r ( x ) , what does x represents? Would there be an advantage in using the model r when estimating the projected revenues for a given year instead of the model R ?
Solution Summary: The author explains how the values of R(0),R (3 ),, and 'left' represent digital music revenue in millions of dollars for the year 2012 through
Digital Music Revenues The total worldwide digital music revenues
R
,
in billions of dollars, for the years
2012
through
2017
can be modeled by the function
R
(
x
)
=
0.15
x
2
−
0.03
x
+
5.46
Where
x
is the number of years after
2012.
Find
R
(
0
)
,
R
(
3
)
,
and
R
(
5
)
and explain what each value represents.
Find
r
(
x
)
=
R
(
x
−
2
)
.
Find
r
(
2
)
,
r
(
5
)
,
and
r
(
7
)
and explain what each value represents.
In the model
r
=
r
(
x
)
,
what does
x
represents?
Would there be an advantage in using the model
r
when estimating the projected revenues for a given year instead of the model
R
?
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
The correct answer is C,i know that we need to use stokes theorem and parametrize the equations then write the equation F with respect to the curve but i cant seem to find a way to do it, the integral should be from 0 to 2pi but i might be wrongcould you show me the steps to get to 18pi
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