Revenue: Target The annual revenue earned by Target for fiscal years 2004 through 2010 can be approximated by R ( t ) = 41 e 0.094 t billion dollars per year ( 0 ≤ t ≤ 7 ) , where t is time in years. ( t = 0 represents the beginning of fiscal year 2004.) Estimate, to the nearest $10 billion, Target’s total revenue from the beginning of fiscal year 2006 to the beginning of fiscal year 2010.
Revenue: Target The annual revenue earned by Target for fiscal years 2004 through 2010 can be approximated by R ( t ) = 41 e 0.094 t billion dollars per year ( 0 ≤ t ≤ 7 ) , where t is time in years. ( t = 0 represents the beginning of fiscal year 2004.) Estimate, to the nearest $10 billion, Target’s total revenue from the beginning of fiscal year 2006 to the beginning of fiscal year 2010.
Solution Summary: The author calculates the Target's total revenue from beginning of fiscal year 2006 to 2010, where the annual net revenue is approximated by R(t)=41e0.094t
Revenue: Target The annual revenue earned by Target for fiscal years 2004 through 2010 can be approximated by
R
(
t
)
=
41
e
0.094
t
billion dollars per year
(
0
≤
t
≤
7
)
,
where t is time in years. (
t
=
0
represents the beginning of fiscal year 2004.) Estimate, to the nearest $10 billion, Target’s total revenue from the beginning of fiscal year 2006 to the beginning of fiscal year 2010.
Use Euler's method to numerically integrate
dy
dx
-2x+12x² - 20x +8.5
from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall
that the exact solution is given by y = -0.5x+4x³- 10x² + 8.5x+1
Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
2
f(x)=8x²+4x-7; slope of the tangent line = -3
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