Answer:
Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable
Step-by-step explanation:
We are given the Function
f(x) =
The two basic hypothesis of the mean valued theorem are
- The function should be continuous in [0,2]
- The function should be differentiable in (1,2)
upon checking the condition stated above on the given function
f(x) is continuous in the interval [0,2] as the functions is quadratic and we can conclude that from its graph
also the f(x) is differentiable in (0,2)
f'(x) = 6x - 2
Now the function satisfies both the conditions
so applying MVT
6x-2 = f(2) - f(0) / 2-0
6x-2 = 9 - 1 /2
6x-2 = 4
6x=6
x=1
so this is the tangent line for this given function.
All cross sections of spheres are “circles”
2 1/6
multiply the fraction to see the answer. if you multiply 4 and 1 third by three sixth you get 2 3/18 which is the same as 2 1/6.
Answer:
-36
Step-by-step explanation:
le x be 2 then
f(x) = -2-2 =-4
g(x)= 2square +1-2 =3
to find:(f×g)(3)
(-4×3)(3)
=-36
Answer:
<em>The correct answer is "(B) -$700,000; $0; $0".</em>
Step-by-step explanation:
<em>The tax caused a change in the consumer surplus of $-700000, a change in the producer surplus of $0, and a deadweight loss of $0.</em>
<em></em>
<em>The change in consumer surplus is due to the $ 10 increase lost by consumers (10 x 70000 = 70000).</em>
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<em>The rest does not vary because management decided to raise the price of the product, instead of bearing the tax.</em>