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atroni [7]
3 years ago
5

Marisa has at most $50 to spend on clothes. She wants to buy jeans that cost $25. With the money that she has left over, she wan

ts to buy nail polish this is $6 per bottle. How many bottles of nail polish can Marisa buy?
Write an inequality for the number of nail polishes Marisa can buy.
Mathematics
1 answer:
Reika [66]3 years ago
6 0

50 \geqslant 6x + 25

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Find the derivative of sinx/1+cosx, using quotient rule​
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Answer:

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Step-by-step explanation:

The quotient rule for derivation is:

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In this case, the function is:

f(x) = Sin(x)/(1 + Cos(x))

Then we have:

h(x) = Sin(x)

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And for the denominator:

k(x) = 1 - Cos(x)

k'(x) = -( -Sin(x)) = Sin(x)

Replacing these in the rule, we get:

f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2}

Now we can simplify that:

f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2} = \frac{Cos(x) - Cos^2(x) - Sin^2(x)}{(1 - Cos(x))^2}

And we know that:

cos^2(x) + sin^2(x) = 1

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f'(x) = \frac{Cos(x)- 1}{(1 - Cos(x))^2} = - \frac{(1 - Cos(x))}{(1 - Cos(x))^2} = \frac{-1}{1 - Cos(x)}

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Answer:

Step-by-step explanation:

Simplifying

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Combine like terms: 13 + -13 = 0

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Combine like terms: 0 + -13 = -13

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Simplifying

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