Sketch the region bounded by the graph of the equations and determine the area
of the region
Y = sinx
y = cosx
π/4≤ x ≤ 5π/4
Find the area of the region bounded by the following:
Y =x² - 4x + 3
y = x³
x=0
The table show s the annual service revenue R1 in billions of dollars for the
cellular telephone industry for the years 1995 through 2001.
Year
1995
1996
1997
1998
1999
2000
2001
R1
19.1
23.6
27.5
33.1
40.0
52.5
65.0
a) Use the regression capabilities to find an exponential model for the data.
Let t represent the year, with t=5 corresponding to 1995
b) A financial consultant believes that a model for service revenue for the
years 2005 through 2010 is
R2 = 5 + 6.83e.2t
What is the difference in total service revenue between the two models
for the years 2005 through 2010.
Find the volume of the solid generated by revolving the plane region
bounded by the equations and indicated lines:
Y= 1
y=0
(1 + √x-2 )
x=2 x=6
Find the volume of the solid of y = x√x+1 and y = 0 generated by revolving
the region about:
a) x-axis
b) Y-axis
A gasoline tank is an oblate spheroid generated by revolving the region
bounded by the graph of x²/16 + y²/9 = 1 about the y-axis, where x and y are
measured in feet. Find the depth of the gasoline in the tank when it is filled to
one fourth its capacity. (note volume is 64π)
Find the arc length of the graph of the function over the given interval:
F(x) = 4/5 x5/4 [0,4]
The region bounded by the graph of y = 2√x y = 0 x = 3 is revolved around the xaxis. Find the surface are of the solid generated.