Calculate the geometric center of the graph the function f (x) = 3-|x-2| for x E [0, 3]. Consider a graph of function f(x) as a specific example of curve. Submit the Answer 5 Question 5 grade: 0 3.0 2.5- 2.0 1.5 1.0 0.5 0.5 1.0 1.5 2.0 2.6 3.0

Q: Let f'(x) = e*² line to the graph of the function h(x) = g(11x + 7) at x 2/īL and g(x) = f(/x). Let…

A: Solution is given below

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A:

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A:

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A:

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A: Given Graph of f'(x) is

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A: Given,

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A: Chain rule is  h'(x) = f'(g(x)).g'(x) For using graph we will find the slope for finding the…

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A:

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A: Given:

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A: We will use property of definite integral.

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A: y=x44

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A:

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A:

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A:

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A:

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A:

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A:

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A: Answer

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A: We have to find derivative

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A:

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A: Average rate of change of function f(x) in the interval [a, b] is as follows. Ax=fb-fab-a

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A:

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A: Average rate of change of function over given interval [a,b] is given by below formula,

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A:

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A:

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A: If f'x is positive then fx is increasing If  f'x is negative then fx is decreasing

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A: Answer A:

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A:

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A:

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A:

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A: GIVEN GRAPH

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: