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pantera1 [17]
3 years ago
9

Let f (x)sinx cosx, then f'(x) =A. Cos2xB. sin2xC. tan 2xD. cos2x - sin2x​

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

A. Cos2x

Step-by-step explanation:

f(x) = sin(x)cos(x) = (1/2) sin(2x)   using double angle formula.

f'(x) = ( (1/2)sin(2x) )' = 2(1/2)cos(2x) = cos(2x)

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bezimeni [28]

Answer:

no solution

Step-by-step explanation:

n -8 = 6+n

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In 2000, the population of Massachusetts
Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

f(x) = 6.3*(1.0032)^{x}

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

f(x) = 6.3*(1.0032)^{x}

7 = 6.3*(1.0032)^{x}

(1.0032)^{x} = \frac{7}{6.3}

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We have to following logarithm rule

\log{a^{x}} = x\log{a}

So we apply log to both sides of the equality

\log{(1.0032)^{x}} = \log{1.11}

x\log{1.0032} = \log{1.11}

x = \frac{\log{1.11}}{\log{1.0032}}

x = 32.66

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

3 0
3 years ago
Please just answer with a picture
PIT_PIT [208]
From the instructions i gather it might be like this

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The area of a triangle is 18 square feet. If the base is 3 feet, what is the height of the triangle? no pic
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Step-by-step explanation:

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