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Mathematics

2 answers:

siniylev [52]2 years ago

5 0

Answer:

Betsy's calculations in Step 1 are correct because (8 + 18) gives 26. Betsy's calculations in Step 2 are incorrect because $3^4$ doesn't give 12. If Betsy reaches her goal each year, she will have 2,106 customers 4 years from now.

Step-by-step explanation:

tekilochka [14]2 years ago

5 0

What he said tbhhhh

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Find dyldx.<br> 3. y=2x sin(3x)

vredina [299]

Answer:

$\large\boxed{\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)}$

Step-by-step explanation:

$\dfrac{dy}{dx}=(2x\sin(3x))'\\\\\text{use}\ \bigg(g(x)\cdot f(x)\bigg)'=g'(c)f(x)+g(x)f'(x)\\\\\text{and}\ \bigg(f(g(x))\bigg)'=f'(g(x))\cdot g'(x)\\\\\dfrac{dy}{dx}=(2x)'(\sin(3x))+(2x)(\sin(3x))'\\\\\dfrac{dy}{dx}=2\sin(3x)+(2x)(\cos(3x)\cdot(3x)')\\\\\dfrac{dy}{dx}=2\sin(3x)+2x\cos(3x)\cdot3\\\\\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)$