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2 votes
Can anyone help since im struggling with finding the answer!

Can anyone help since im struggling with finding the answer!-example-1

2 Answers

5 votes

Answer:

296

Step-by-step explanation:

I just did the math and I also got 296.

User ChaseAucoin
by
3.5k points
4 votes

Answer: 296

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Step-by-step explanation:

You'll need the chain rule for this one.


y = 3x^3 + 4x\\\\(d)/(dt)(y) = (d)/(dt)\left(3x^3 + 4x\right)\\\\(dy)/(dt) = (d)/(dt)\left(3x^3\right) + (d)/(dt)\left(4x\right)\\\\(dy)/(dt) = 3(d)/(dt)\left(x^3\right) + 4(d)/(dt)\left(x\right)\\\\(dy)/(dt) = 3*3\left(x^2\right)*(dx)/(dt) + 4(dx)/(dt)\\\\(dy)/(dt) = 9x^2(dx)/(dt) + 4(dx)/(dt)\\\\(dy)/(dt) = (9x^2+4)(dx)/(dt)\\\\

Now apply substitution


(dy)/(dt) = (9x^2+4)(dx)/(dt)\\\\(dy)/(dt) = (9*4^2+4)*2\\\\(dy)/(dt) = 296\\\\

User Zul
by
4.0k points