Chapter 5 | Integration
621
x 3
463. What is the average velocity of the bullet for the first half-second?
456. d
dx ∫
4− t 2 dt
1
ln( x )
457. d
⎛ ⎝ 4 t + e
t ⎞
dx ∫
⎠ dt
1
cos x
2
458. d
dx ∫
e t
dt
0
The following problems consider the historic average cost per gigabyte of RAM on a computer. Year 5-Year Change ($)
1980 0
1985 −5,468,750
− 755,495
1990
1995 −73,005
2000 −29,768
2005 −918
2010 −177
459. If the average cost per gigabyte of RAM in 2010 is $12, find the average cost per gigabyte of RAM in 1980.
460. The average cost per gigabyte of RAM can be approximated by the function C ( t ) = 8, 500, 000(0.65) t , where t is measured in years since 1980, and C is cost in US$. Find the average cost per gigabyte of RAM for 1980 to 2010.
461. Find the average cost of 1GB RAM for 2005 to 2010.
462. The velocity of a bullet from a rifle can be approximated by v ( t ) =6400 t 2 −6505 t +2686, where t is seconds after the shot and v is the velocity measured in feet per second. This equation only models the velocity for the first half-second after the shot: 0≤ t ≤0.5. What is the total distance the bullet travels in 0.5 sec?
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