Express the limit as an integral. 4 lim (7(x)² - 2(x, ) ³) 4x over [0, 4] n→ ∞o Σ i = 1 dx

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Q: 2) Sketch the appropriate region and find the exact area between the curves y y = and y=0, x=1, x=9

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Q: :) = yzi + xzj + xyk _: r₁(t) = ti + 2j + tk, 0 ≤ t ≤ 4 _: r₂(t) = t²¡ + tj + t²k, 0≤t≤2

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Q: Use sigma notation to write the sum. X Σ* [[ IM [²(²¹) + ¹] + [²( ² ) + ³] + - + [² (¹) + ¹] [2 [2…

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Q: Evaluate the integral: /9 - x² = dx (A) Which trig substitution is correct for this integral? 0x = 9…

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Q: a) (D-2D + 5D²-8D + 4)y=0

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Q: 16-t -t6 -dt t4 Integrate: /M + C

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Q: 2- Consider y'- 2y = e3x and y(0) = -5. Find the value of L(y).

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