If f(x) = x + 3 and g(æ) = x – 3, %3D - (a) f(g(x)) = Preview (b) g(f(x)) = Preview %3D (c) Thus g(x) is called an function of f(x)

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A: 2. As y is a continous decreasing function on the interval -3, 1

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Q: The table shows data for sulfur dioxide emissions from electricity generation (in millions of short…

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Q: The critical points of the function f(x)= 3x -36x+1 are

A: The critical points of a function are the points at which the function is defined but its derivative…

Q: The critical points of the function f(x) = 5x² – 6x + 12 are %3D

A: A critical point of a function of a single real variable, f(x), is a value x0 in the domain of f…

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Q: Suppose f'(x) =x++x3 – 6x². Determine the value of x where f has a relative maximum value.

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Q: Find the linearization of the function f(x) = x^8 at x = 1

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Q: find the critical points for the function f(x)= 2x³ – 3x² – 72x-11

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Q: Find the linearization of the function at a . f(x) = x 4 + 3 x2    , a = -1

A: We know that ,The linearization of the function at v=ais given by fa+f'ax-a

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Q: Find relative extrema functions of  f(x)= x4-32x+1

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Q: Find the critical points of the function f(x)3D7X2-14x.

A: Need to find critical points

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Q: Show that f(x) = ln xn /x is a decreasing function for x > e and n > 0.

A: Given function is, But, Hence,

Q: If f (x) = x* and g(x) = x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule %3| multiplies…

A: It is given fx=x4, gx=x3, f'(x)=4x3 and g'(x)=3x2.

Q: find and classify the stationary points of the function f(x)=x^3-2x^2+2

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Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: Given that

Q: Find the linearization of the function at a . f(x) =  x3/4    , a = 16

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Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² ,…

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Q: Let f and g be linear functions with equations f(x) = m1x + b1 and  g(x ) = m2x +b2. Is f ° g also a…

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Q: (B) The function f(x) = x² + x +1 has no fixed point, prove that.

A: Let X be a nonempty set and f : X → X. A point x ∈ X is a fixed point of  f, if f(x) =x.  If no…

Q: Find the minimum and maximum point of the function f(x)=x3-3x+1

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Q: Suppose that f is a linear function such that f(3)=5. If the slope of f is 2.9 then what is f(5)?

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Q: Find the critical points of the function f(x)=8x3−x4.

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Q: The economic dependency ratio is defined as the number of persons in the total population who are…

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Q: Coffee consumption in the United States is greater on a per capita basis than anywhere else in the…

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Q: Find the local maxima and local minimum value of function f(x) =xx

A: We use first derivative test to find local maximum and minimum

Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 4, (15,…

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Q: Find the linearization of the function at x = 1.* f (x) 2x - 3x + 7 %3D

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Q: The table shows data for sulfur dioxide emissions from electricity generation (in millions of short…

A: (b) To find E'20, substitute x=20 in E'(x)=0.001x-0.0622-0.18x+8.2+-0.18x2+8.2x-2000.001.…

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Q: 5. Create a graph of the function: t -1 %3D x+2 Ay

A: Given:         Equation is y=-1x+2below graph is plotted using online tool

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Q: Find the linearization of the function f(x) = 1/(9x+8) at x = -1.

A: Topic : function

Q: Find all critical points of the function f(x) 3x 5x2-2x+14

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Q: Suppose f'(x) =x++x3– 6x². Determine the value of x where f has a relative maximum value.

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Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

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Q: At a price of $40 per item, 120 items are demanded by consumers, but at a price of $70 per item,…

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Q: The table shows data for sulfur dioxide emissions from electricity generation (in millions of short…

A: Given Data The function is E(x) =(0.001x-0.062)(-0.18x²+8.2x-200)   (a) Differentiate the above…

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Q: Let f(x) = 2x'+3x. Use differentiation from first principles to show that f'(x) = 6x² +3.

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Q: Suppose that f is a linear function with slope 2.4 and that f(5) = -1. What value of x gives f(x) =…

A: Consider a linear function f with slope 2.4 and f(5)=-1 .

Q: If f(x)=x* and g(x)= x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule multiplies derivatives to…

A:

Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = x3, [−4,…

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