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mariarad [96]
3 years ago
7

Jim earns a regular hourly rate

Mathematics
1 answer:
AveGali [126]3 years ago
4 0
I'm glad to hear that, but where is the math problem?
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How to solve derivative of (sin3x)/x using first principle ​
Leona [35]

\dfrac{d}{dx}(\dfrac{\sin(3x)}{x})

First we must apply the Quotient rule that states,

(\dfrac{f}{g})'=\dfrac{f'g-g'f}{g^2}

This means that our derivative becomes,

\dfrac{\dfrac{d}{dx}(\sin(3x))x-\dfrac{d}{dx}(x)\sin(3x)}{x^2}

Now we need to calculate \dfrac{d}{dx}(\sin(3x)) and \dfrac{d}{dx}(x)

\dfrac{d}{dx}(\sin(3x))=\cos(3x)\cdot3

\dfrac{d}{dx}(x)=1

From here the new equation looks like,

\dfrac{3x\cos(3x)-\sin(3x)}{x^2}

And that is the final result.

Hope this helps.

r3t40

7 0
3 years ago
Read 2 more answers
13. A smoothie shop has 40 stores, and 55% of the stores are in
S_A_V [24]

Answer:

You could answer this two ways.

Step-by-step explanation:

Method 1: Set up proportion

x/40=55/100

Cross-multiply and you will get..

2200=100x

x=22

Method 2: Use decimals

As we saw in the first method, 55 percent is equal to 55/100. 55/100 is equal to 0.55.

You can multiply 0.55 and 40 to get the answer as well.

0.55 times 40 is 22.

Hope this explanation helped! ☺️

6 0
3 years ago
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Simplify.<br> 3 Square root -64m^15 n^3
goldenfox [79]

Answer:

-4m^5n on egde

Step-by-step explanation:

6 0
3 years ago
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Find the least common multiple of (5x+15) and (3x+9)
JulsSmile [24]
X and 3 is the answer i think
5 0
3 years ago
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4 less than the product of one and a number z
AleksAgata [21]

Answer:

z - 4

Step-by-step explanation:

Step 1: Convert "4 less"

-4

Step 2: Convert "Product of one and a number z"

1 · z

z

Step 3: Combine

z - 4

3 0
3 years ago
Read 2 more answers
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