Answer:
The discovery of new resources can cause the LRAS curve to move.
Step-by-step explanation:
In the short-run, a new resource will not impact supply
Like the supply for maritime transportation when the steam-engine were invented.
At the beginning of the industrial revolution, the ship keep relying on sails. But, as time passes, the adoption of the new resource and method of production push the Long Run Aggregate Supply. As more transportation was possible with steam-engine using coal.
That will be the case for an improvement in the method of production. Then, following the same example, a change in a better quality of the resource like, replacing the coal engines with diesel engine generates an improvement in the quantity supplied as it is more efficient and can be used
Answer:
b= 3.5
s= 10.5
p=21
Step-by-step explanation:
b for brush
s for sketch book
p for paint set
b=1/3s
s= 1/2 p
b+s+p=37-2
1/3 s +s+2 s =35
1/3 s +s +2 s =35
10/3 s=35
s= 35*3/10
s= 10.5
b=1/3 s = 10.5/3 = 3.5
s= 1/2 p so p= 2s = 2( 10.5) = 21
10.5+3.5 + 21 = 35
Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
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At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
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I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.
The answer is c 19
38/2=19
Step-by-step explanation
Answer:
a fact or piece of data from a study of a large quantity of numerical data.
