Find the average value of the function f(x) = 42³ on the interval 0 ≤ x ≤ 3

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A: The given problem is solved below in detail.

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Q: Let F(x) = f(x³) and G(x) = (f(x))³. You also know that a² = 14, f(a) = 3, ƒ'(a) = 10, ƒ'(a³) = 9…

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A: let f(x)=x9-4x8Differentiate with respect to x 9x8-32x7=0x7(9x-32)=0⇒x=0,x=329  are the critical…

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A: let y = ln(e23) we know that mn = m1n∴y = ln(e2)13

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A: To find the absolute extrema of the given function on the interval [0,6].

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Q: 1 13-17. For the probability density function f(x) = (x + 4), over the given interval [6, 48 10],…

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Q: (1+x²)dx+(y− tan^'(x)) dx = 0;

A: (1+x^2)dy+(y-arctan(x))dx=0 (1+x^2)dy=(arctan(x)-y)dx dy/dx=arctan(x)/(1+x^2)-y/(1+x^2)…