4x Find the average value of the function f(x) = = 5 Submit your answer as an exact value. Provide your answer below: Average Value = + 1 over the interval [-1,3].

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A: Here, the given limit is: limx→0+(x-ln x)x which is (-∞)0 form.

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A: Please refer to the image below

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A: Follow the procedure given below.

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Q: Given f(x) below, find f'(x). Provide your answer below: f'(x) = f(x) = - +6 √√x 15 dt

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Q: Evaluate the improper integral or state that it diverges. P -dx Select the correct choice below and…

A: The given integral is: I=∫2∞32x2dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

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Q: Determine the following integrals: 1.1.1 ļ (cos2x+sin x) dx x+1 .1.2 1₁ JF dx x + 2x+1 2 1.1.3 | ₁…

A: ∫ sin(ax) dx =-cos(ax)a+C       and     ∫cos(ax) dx =sin(ax)a+C ∫xn dx = xn+1n+1+C Note : As per our…

Q: (Requires a short but nontrivial geometric argument.). Let ABC be a triangle with angles…

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Q: fsec³ 7x tan5 7x dx 4.

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Q: Is that pi (π)? Or something?

A: Given ,  Area of the region bounded by  y = cosx , x = -π/2 and x = π/2 and the x - axis  We have to…