0 if -2< x<0 1 if 0

Q: f(x)=x-1; g(x)=2x2 Find 1. (f+g)(x) 2. (f-g)(x)

A: Given, f(x) = x - 1 g(x) = 2x2

Q: The minimum value of the function occurs at x = f(x) = =(-3) n the interval -100 s xrs100 OCcurs at…

A: Introduction :

Q: f(x) = 4x + 6x² – 360x + 2 is decreasing on the interval ( ). It is increasing on the interval (-o,…

A: Follow next step

Q: Find all critical points of the function f(x)

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Q: nd the absolute maximum value and inimum Value,if any, of the f f (x) ) = Totx= 2 aximum= inimum=

A: Given, f(x)=x16+x2 To find the maximum and minimum values, we will use second order derivative test.…

Q: 13. Approximate the local maximum values and local minimum values of f(x) = x³ – 5x + 1 on (-4, 4).…

A: Given: f(x)=x3-5x+1on the given interval (-4, 4)

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A: Given function is

Q: 1 The function f(x) = 5 + 5x + 45x- has one local minimum and one local maximum. This function has a…

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Q: Given the function f(x) = %3| Vx2 –1

A: Given: fx=xx2-1

Q: 1) Find the absolute extremum values of f(x) = x² – 2 + 12 over the interval [1, 2).

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 2. Find the intervals of increasing/decreasing of the function and also find the local maxima and…

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Q: 6. Find the absolute maxima and absolute minima of the function 3.x f (x) = over =1, 1| V4x² + 1

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Q: 1 The function f (x) = 5 + 8x + 128x has one local minimum and one local maximum. This function has…

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Q: Graph the functions in Exercises 25–28.

A: "Since you have posted a question with multiple sub-parts,we will solve the first three sub-parts…

Q: .2 x -4 x + 2 f(x)={ x-2 at the point x = : 2 5 x = 2 |1-x, x 1

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Q: The function f (x) = (ln x)&gt;x has a relative extreme point for some x 7 0. Find the point and…

A: Given fx=lnxxandx&gt;0 Objective: To find the point at which relative maximum or a relative minimum…

Q: 2. Find the intervals of increasing/decreasing of the function and also find the local maxima and…

A:

Q: A marshy region used for agricultural drainage has become contaminated with a particular element. It…

A: The given function is:fx=x2+252xwhich can be written asfx=x22x+252x      =x2+252x

Q: F(x)=x+8 Solve: F(x+h)-f(x)/h

A: Given  F(x)=x+8

Q: f ( x ) = x ^ { 2 } - 4 x - 12

A:

Q: gh. Can √5 be approximated through fixed-point iteration? Define a f(x) and a g(x) to do this if it…

A: To show : 5 is approximated by fixed point iteration or not.

Q: onsider f(x) =x³ – 6x²+ 9x + 3 defined on the closed interval At which value of x -- 1 oes the…

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Q: Queskon (2): sKelch and ind Range.- り f: (x+2-4 2) fra): 4- Vx-5 Lo -1x +3 +5 u) frag= 2-15+x

A: Hello learner, we can answer the first question among the asked questions as per the honor policy.…

Q: 2. Find the intervals of increasing/decreasing of the function and also find the local maxima and…

A: f(x) = x3/3 - 2x2 + 3x + 1

Q: The function f(x) = (1+x) O a. Is increasing always O b. Has an absolute maximum at x = - 1 O c.…

A: fx=1+x53 Differentiating with respect to x, we get f'x=531+x53-1=531+x23=531+x132

Q: f (x) = x² – 3x/3 [0,2]

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Q: 25. lim h→0 (x+h)² +4(x+h) —x²− 4 at h (A) x³ + x4 (B) x² + 4x (C) 2x+4 (D) nonexistent

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Q: f(x) = 3x° – 45x³ %3D Enter the critical points in increasing order. There are critical points at x…

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Q: The function y must be strictly decreasing on any The function y must be equal to 0 on any interval…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

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Q: B1(a): Find the value of k that makes function continuous at x = 4 S3x + 8 x > 4 f(x) = 4x – k x < 4…

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Q: 11. Suppose that f(x) is differentiable everywhere and we know that f(-4) f'(x) > 6 for all x. = -2…

A: Given, fx is differentiable everywhere. f-4=-2 f'x≥6, for all x dydx≥6, for all x  dy≥6dx…

Q: 8- 7- 6- 3- 2- 2- híx) g(x) 3 X-values 4. 5. 3. Tvalues If f(x) = g(h(x)), then f'(1) =

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Q: f'(x) 3 2 Analyze the given graph of f'(x) to find a) intervals where f(x) is decreasing b) x-values…

A: (a) the intervals where f(x) is decreasing the interval where  f'(x) is positive is increasing and…

Q: f(x)= -4x g(x)=3x-2 h(x)=x^2-6x. solve: f(x)+g(x)

A: To find the f(x)+g(x)

Q: F(x)= -2x g(x)= absolute value of x +4 h(x)= 1/x-3

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Q: The function f(x) = -2x + 0x² + 150x + 3 is increasing on the interval ( ). It is decreasing on the…

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Q: The incidence (number of new cases per day) of a contagious disease that is spreading in a…

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Q: x-3 If f(x) = X-8 where is f not differentiable? %3D

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Q: The function f(x) = – 4x* + 6.24x² + 53.784x + 1.62 is increasing on the open interval ( It is…

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Q: First principle of f(x) 6÷x

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Q: x +3 on the interval [0, 5] does not have any absolute extreme values. Does this 10. The function…

A: mx=x+3x-2,  0, 5. Extreme value theorem states that "If a function fx is continuous on a closed…

Q: (3) Find the absolute extrema of the function on the specified interval: f(x)=x² +3x² +1,[-1, 4)

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Q: f(x)=x3-27x on [-4,4] absolute Min Absolute Max

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Q: 3(a): Find the critical points of the function f(x) = 3x² – 6x. (b): Apply Rolle's theorem for the…

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Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: 2 If f(x) = 2(1 – x)-1. | 1-x Find a formula for f(n) (x).

A: The given function is:  fx=21-xfx=21-x-1 To find the formula of nth derivative fnx, evaluate the…