Work these exercises. Average Cost An independent driver working for a New York City taxicab company pays for the cost of fuel and a maximum of $115 to lease a vehicle and taxi medallion for a 12-hour shift. Suppose the driver's cost for the shift is approximated by C ( x ) = 115 + .20 x , where x is the number of miles driven. The average cost per mile, denoted by C ¯ ( x ) , is found by dividing C ( x ) by x . Find and interpret the given quantities. (Data from: www.nycgov.com.) a. C ¯ ( 50 ) b. C ¯ ( 230 ) c. lim x → 250 C ¯ ( x )
Work these exercises. Average Cost An independent driver working for a New York City taxicab company pays for the cost of fuel and a maximum of $115 to lease a vehicle and taxi medallion for a 12-hour shift. Suppose the driver's cost for the shift is approximated by C ( x ) = 115 + .20 x , where x is the number of miles driven. The average cost per mile, denoted by C ¯ ( x ) , is found by dividing C ( x ) by x . Find and interpret the given quantities. (Data from: www.nycgov.com.) a. C ¯ ( 50 ) b. C ¯ ( 230 ) c. lim x → 250 C ¯ ( x )
Solution Summary: The author explains how the driver's cost for the shift is approximated by C(x)=115+.20x.
Average Cost An independent driver working for a New York City taxicab company pays for the cost of fuel and a maximum of $115 to lease a vehicle and taxi medallion for a 12-hour shift. Suppose the driver's cost for the shift is approximated by
C
(
x
)
=
115
+
.20
x
, where x is the number of miles driven. The average cost per mile, denoted by
C
¯
(
x
)
, is found by dividing
C
(
x
)
by x. Find and interpret the given quantities. (Data from: www.nycgov.com.)
3) Compute
where C is the circle |z― i|
=
-
1
2
2+1
Po z z
-
2)2
dz
traversed counterclockwise.
Solution: TYPE YOUR SOLUTION HERE! INCLUDE A SKETCH OF THE COM-
PLEX PLANE AND THE CURVE C. ALSO, MARK ALL SINGULARITIES OF THE
INTEGRAND!
2) Consider the function
f (z = re²) = e cos(In(r)) + ie¯* sin(ln(r)).
Show that is holomorphic at all points except the origin. Also show that
=
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