The revenue (in dollars) from the sale of x infant car seats is given by R(x) = 70x – 0.02x² , 0 < x < 3500.

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A: Please refer the attached image for complete solution.

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A: Given:

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A: from the given table we cansay (As f(x) in continuoun everywhere)∃ x1∈ (0,10) such that,…

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A: Given that f(x)=5x-7x2 The newton method formula is, xn+1=xn-f(xn)f'(xn) Take the derivative for f,…

Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

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A: fx=2x3-3x2-12x+1 Differentiating with respect to x, we get f'x=23x2-32x-121+0=6x2-6x-12 Now to find…

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A: Given

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Q: Find the extrema of f(x) = 3x4 − 4x3 on the interval [−1, 2].

A: The given function f(x) = 3x4 − 4x3 on the interval [−1, 2].

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Q: interval

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A: