2. Find the area bounded by the curves: $y = x$ and $y = x^3$ over the interval $[-1, 1]$. Follow examples 1-3 from section 5.5. 3. The marginal profit for a product is given by $MP(x) = -0.06x + 10$. Find the change in profit when sales increase from 80 to 81 units. See example 6 from section 5.4.
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To find the points of intersection, we set the two equations equal to each other: √(x + 1) = x^2 Squaring both sides, we get: x + 1 = x^4 Rearranging the equation, we have: x^4 - x - 1 = 0 This equation does not have a simple algebraic solution, so we will Show more…
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