Since f'(1) number. Th number line and decreas YOUR TURN 3 Find where f is increasing and decreasing if f(x) = (2x+4)2/5. Graph the function. Since f is c on (1, 0). In Exa 6. when the c for values 4 f(x) = (x – 1)2/3 ative. For %3D exist for x are not in because 0 Someti 0. A-6 -4 -2 4 6 8. mine wher 27 EXA FIGURE 8 oFind the i function. 2.

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Q: 1. Find the absolute extrema. 1) f(x) = 5 – x² on [-5,4]

A: fx=5-x2,  -5, 4 Differentiating with respect to x, we get f/x=0-2x=-2x Now to find critical numbers,…

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Q: 2. Find all x values on the graph of f (x) where the tangent line is horizontal for each of the…

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Q: For f(x) = cos2x + sinx a. All Critical Numbers and intervals of increasing and decreasing. b. All…

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Q: (a) The sales of a book publication are expected to grow according to the function S= 300000(1-…

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Q: relative maximum(s) and minimum

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Q: for the function: f(x)=2/3 x^3-2x^2-6x a.what is the domain b.what is the first derivative f'(x)…

A: Given f(x)=23x3-2x2-6x (a) Domain are the set of x values for which the function is defined In the…

Q: True or False The graph of y = cos x is decreasing on the interval (0, π).

A: True or False The graph of y = cos x is decreasing on the interval (0, π).

Q: The sales of a book publicationare expected to grow according to the function S = 300000(1 -…

A: (i) The given function is S=3000001-e-0.06t. To calculate maxima dSdt=0. That is,…

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Q: The function (f) with a period of 2π is defined by: f(x) = cosh (x - 2π)  if x∈[π ; 3π] a) Using…

A: We have to graph the function f(x) on the given interval.

Q: 4. For what values of x does the graph of f have a horizontal tangent if f(x) = V3 x – 2 sin(x).

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A: Given that: g''(x)=sin(ex-1)g'(1)=0

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Q: 5. Find the critical numbers, and the intervals of increase/decrease for y=ln(4-x) %3D

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A: By Simpson's 1/3 rule ∫abfxdx≈∑i=1n-12∆xi3fx2i-1+4fx2i+fx2i+1 Where, n is the number of intervals.…

Q: Suppose (-2,1) is a critical point of f(x, y) and that the Second Derivative Test applies to f(x,…

A: Given, (-2,1) is a critical point of f(x,y). We have to answer the following...

Q: The sales of a book publication are expected to grow according to the function…

A: Given the sales function  S=3000001-e-0.06t    1 (a) Differentiating (1) wrt t, we get…

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A: Answer of the provided qn in written has been provided below -

Q: 2 2x +1 Let f(x) =- |- log, (x² + + 1) • (b* - 5b +3)x +c. If f(x)isa tan decreasing function of x…

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Q: 5. Consider the function f(x)=e*, calculate df/dx with finite difference using forward and central…

A: We can solve this using formula of central difference and

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A: Given,  g(x)=(x-6)2/3

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Q: The sales of a book publication are expected to grow according to the function S= 300000(1−e−0.06t),…

A: It is given that sales of a book publication are expected to grow according to the function…

Q: Find ONLY the Critical Values. 1) f(x) = =x³ - x² – 3x +1 For this function, there is a Rel Min at x…

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Q: 4) Suppose an object moves along a horizontal path with the position function x(f) = 4t – t2 on the…

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A: We can find the relative extremum as below

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Q: A function is given by f(x) = 2x3 – eX. The first derivative of f(x) using forward difference method…

A: Consider the given function. fx=2x3-ex The forward difference method is defined as. f'x≈fx-fx-hh…

Q: ose k is the derivative of K, a function with the same domain as k. inction K has one critical point…

A: According to answer policy we can answer one question at a time, therefore I will be answering first…

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A: We have to find critical points and local minima.

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Q: The following graph of the derivative g' has exactly two roots.a. Find the critical points of g.b.…

A: a. The graph of g'x touches the x-axis at x=1 & x=2. That is, g'1=0  &  g'2=0 Therefore…

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A: Given query is to find the critical points for the function f(x).

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

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Q: Suppose (-2,1) is a critical point of f(x, y) and that the Second Derivative Test applies to f(x,…

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