Business: depreciation. A large crane is being depreciated according to the model V ( t ) = 900 − 60 t , where V ( t ) is in thousands of dollars and t is the number of years since 2005 If the crane is to be depreciated until its value is $0, what is the domain of this model?
Business: depreciation. A large crane is being depreciated according to the model V ( t ) = 900 − 60 t , where V ( t ) is in thousands of dollars and t is the number of years since 2005 If the crane is to be depreciated until its value is $0, what is the domain of this model?
Solution Summary: The author explains the domain of the model V(t)=900-60t if the crane is to be depreciated until its value is 0.
Business: depreciation. A large crane is being depreciated according to the model
V
(
t
)
=
900
−
60
t
,
where
V
(
t
)
is in thousands of dollars and t is the number of years since 2005 If the crane is to be depreciated until its value is $0, what is the domain of this model?
Topic 2
Evaluate S
x
dx, using u-substitution. Then find the integral using
1-x2
trigonometric substitution. Discuss the results!
Topic 3
Explain what an elementary anti-derivative is. Then consider the following
ex
integrals: fed dx
x
1
Sdx
In x
Joseph Liouville proved that the first integral does not have an elementary anti-
derivative Use this fact to prove that the second integral does not have an
elementary anti-derivative. (hint: use an appropriate u-substitution!)
1. Given the vector field F(x, y, z) = -xi, verify the relation
1
V.F(0,0,0) = lim
0+ volume inside Se
ff F• Nds
SE
where SE is the surface enclosing a cube centred at the origin and having edges of length 2€. Then,
determine if the origin is sink or source.
4
3
2
-5 4-3 -2 -1
1 2 3 4 5
12
23
-4
The function graphed above is:
Increasing on the interval(s)
Decreasing on the interval(s)
Chapter R Solutions
Calculus and Its Applications, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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