To graph: The equation y = 30 , 000 − 400 t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1 . The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
To graph: The equation y = 30 , 000 − 400 t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1 . The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
Solution Summary: The graph of the equation y=30,000-400t is shown below.
To graph: The equation y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
(b)
To determine
To calculate: The amount of oil in the tank on February 1, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
(c)
To determine
To calculate: The amount of oil in the tank on February 15, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
(d)
To determine
To calculate: The y-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
(e)
To determine
To calculate: The t-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
1. One of the partial fractions for
2
4x²+x-9
x3+2x²-3x
2
x+1
a) x23 b) x 1½ c) x² d)
x-1
x
is
1. One of the partial fractions for
2
2
4x²+x-9
x3+2x²-3x
a) x3 b) x11 c) x² d) z
x-1
2. Identify the improper integral.
1 x
2 x
dx
a) 3x dx b) f² 3x dx
0 3-2x
0 3-2x
x
is
c) √2^:
4
√232x dx d) fo² 3x dx
1 1
0 3-2x
B. So eax dx converges to
if
:
a) O if a0 c) - 1½ ifa 0
Complete the square and find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the
constant of integration.)
dx
x²-12x+27