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irina [24]
3 years ago
12

4,000,000 lbs is how many tons

Mathematics
2 answers:
ohaa [14]3 years ago
8 0
2,000 tons because there is 2,000 pounds in 1 ton and you divide 2,000 into 4,000,000
olasank [31]3 years ago
6 0
2000 tons because there are 2000 pounds in 1 ton so you divide 4000000 by 2000 
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Answer:

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Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \theta rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

                        12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)

And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4

This is the maximum value that the function can acquire. The attached graph shows this as correct

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1 year ago
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Answer:

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Step-by-step explanation:

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I plotted it out on the graph and here it is:

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Read 2 more answers
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