Find all numbers b such that the average value of f(x) = 7 + 8x - 6x² on the interval [0, b] is equal to 8. (Enter your answers as a comma-separated list.) (b-1)² - 1/2 b = x Enhanced Feedback ct

Q: Consider the function f(x) = xn , where n is odd. Does f −1 exist? Explain.

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Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

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Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 3x + 7 on the…

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Q: Plot the x-intercepts of the function ƒ (z) = zª + 3z³ – 4z² – 12z.

A: Given,          The function is fx=x4+3x3-4x2-12x .

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: Find all intervals on which the function f(x) = −3xe-2x² −4 is decreasing.

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Q: Show that an = 1/2n + 1 is decreasing.

A: Given: an=12n+1 Substitute 1 for n in the equation an=12n+1. a1=12(1)+1=13=0.333

Q: Find the interval where the function, 3 f(x) = * - 4x – 2x? is increasing? O a. (-2,-1) O b. (-∞,…

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Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

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Q: g(x) = v2 – 3x %3D

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Q: Find the average of the function f (x)= 9x² - óx over [0, 2]. O a. Average = 10 O b. Average = 12 O…

A: Here, we need to find the average of the function f(x) = 9x2 - 6x over [0, 2].  We know that,

Q: Find f" if X+JJ = |

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Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: Differentiate the following function. 6x2 +5 y= x2 +1

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Q: Let f(x) = 1. x+ 8 |3D f-(- 8) %3D

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Q: Find the natural spline for the data: x0 = 0, x1 = 1, x2 = 2, and f(x0) = 1.2, f(x1) = 1.3, f(x2) =…

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Q: Find the domain of the composition g o f using set notation. { x | x + } Enter the exact values…

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