Java Reference
In-Depth Information
1.7
( Approximate p ) p can be computed using the following formula:
1
3 +
1
5 -
1
7 +
1
9 -
1
11 + c
p =
4
*
¢
1
-
1
3 +
1
5 -
1
7 +
1
9 -
1
11
Write a program that displays the result of 4
*
¢
1
-
1
3 +
1
5 -
1
7 +
1
9 -
1
11 +
1
13
and 4
*
¢
1
-
. Use 1.0 instead of 1 in your
program.
1.8
( Area and perimeter of a circle ) Write a program that displays the area and perim-
eter of a circle that has a radius of 5.5 using the following formula:
perimeter
=
2
*
radius
* p
area
=
radius
*
radius
* p
1.9
( Area and perimeter of a rectangle ) Write a program that displays the area and
perimeter of a rectangle with the width of 4.5 and height of 7.9 using the following
formula:
area
=
width
*
height
1.10
( Average speed in miles ) Assume a runner runs 14 kilometers in 45 minutes and 30
seconds. Write a program that displays the average speed in miles per hour. (Note
that 1 mile is 1.6 kilometers.)
* 1.11
( Population projection ) The U.S. Census Bureau projects population based on the
following assumptions:
One birth every 7 seconds
One death every 13 seconds
One new immigrant every 45 seconds
Write a program to display the population for each of the next five years. Assume the
current population is 312,032,486 and one year has 365 days. Hint : In Java, if two
integers perform division, the result is an integer. The fractional part is truncated. For
example, 5 / 4 is 1 (not 1.25 ) and 10 / 4 is 2 (not 2.5 ). To get an accurate result with
the fractional part, one of the values involved in the division must be a number with a
decimal point. For example, 5.0 / 4 is 1.25 and 10 / 4.0 is 2.5 .
1.12
( Average speed in kilometers ) Assume a runner runs 24 miles in 1 hour, 40  minutes,
and 35 seconds. Write a program that displays the average speed in kilometers per
hour. (Note that 1 mile is 1.6 kilometers.)
* 1.13
( Algebra: solve 2
*
2 linear equations ) You can use Cramer's rule to solve the fol-
lowing 2
*
2 system of linear equation:
ax
ed
-
bf
af
-
ec
+
by
=
e
x
=
y
=
cx
+
dy
=
f
ad
-
bc
ad
-
bc
Write a program that solves the following equation and displays the value for x and y :
3.4 x
+
50.2 y
=
44.5
2.1 x
+
.55 y
=
5.9
 
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