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mel-nik [20]
3 years ago
8

Defferentiate y=Insin(3x)

Mathematics
1 answer:
Levart [38]3 years ago
3 0

Use the chain rule:

y=\ln(\sin(3x))

y'=(\ln(\sin(3x)))'

y'=\dfrac{(\sin(3x))'}{\sin(3x)}

y'=\dfrac{\cos(3x)(3x)'}{\sin(3x)}

y'=\dfrac{3\cos(3x)}{\sin(3x)}

y'=3\cot(3x)

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Answer:

7

Step-by-step explanation:

The following equation can be derived from the question

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vitfil [10]

Answer:

<u>Answer (a):</u>

s + l = 22 ... (i)

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<u>Answer (b)</u>

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Step-by-step explanation:

Paws at Play made a total of $1234 grooming 22 dogs.

Paws at Play charges $43 to groom each small dog and;

$75 for each large dog.

Let the number of small dogs be 's'

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<u>A system of equations will be:</u>

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;

43s + 43l = 946 ... (i)

43s + 75l = 1234 ... (ii)

Subtracting (i) from (ii) we get;

32l = 288 , l = \frac{288}{32} = 9

So there are 9 large dogs.

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3 years ago
Henry wants some of his
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