3 3 Find the functiong such that fo g= V6x -2 if f(x) = /x g(x) =

Q: 1. Consider the function f(x) = x6 - x³. a. Determine the absolute extremum using the First…

A: The given function is fx=x6-x3. a. Find the absolute extremum using the first derivative test. b.…

Q: A function f(t)= 5x + 8x^-1 has one local minimum and one local maximum what is the function has a…

A: Given query is to find the local maximum and the minimum for the function f(x).

Q: 7. Let f be a function that has first derivative f /(x) = +2 and second derivative f"(x) = 2-2++2.…

A:

Q: 2. Find the absolute maximum and absolute minimum value of f(x) = 6x – x on [1, 7].

A: Given function fx=6x-x2 To find the absolute maximum and minimum first find critical values.…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

A:

Q: Find the local and/or absolute maxima for the functions of the specified domain. Y= 1/(x-x^2) over…

A: Here we have to use the concept of derivatives. Here we use second derivatives test for finding…

Q: x²-1 If f(x) = for x +1 and f(x)=2 when x 1, show that the function x-1 is continous at x=1?

A: Show that f is continuous at x=1

Q: Find the maximum and minimum values of the function g(θ)=2θ−7sin(θ) on the interval [0,π/2].

A:

Q: Find the absolute maximum and minimum values of the function f(x)-cos²x-3sinx on the interval 0≤x≤7.

A: First I have find the derivative of the given function and set them to zero .Solved them to get the…

Q: Suppose a tour guide has a bus that holds a maximum of 86 people. Assume his profit (in dollars) for…

A: Solve the following

Q: 3. Find the absolute maximum and absolute minimum values of f(x) = 2x´ - 4ln(x) on the | interval […

A:

Q: 6) Find f(x) for f(x) = sec(vx2 + 1).

A: We are solving the first question and for the next question post the question again and alsomention…

Q: 38 Find the critical numbers of the function. 25. f(x) = x³ + 3x² – 24x %3D -

A:

Q: 6. Determine the absolute maximum values of the function f(x) = x³ – 6x –1 where xe [-2,3]

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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: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A: Find maximum and minimum point

Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

A:

Q: 7. Consider the function *+1 if r< 2 f(x) = 3-1 if z 2 2 (a) Show that ƒ has no fixed point.

A:

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

A:

Q: Find the absolute maximum and absolute minimum values of the function  f(x)=x+4x on the interval…

A:

Q: 10 1. If :| f(x) dx = –7 and = 1 then determine 1- f(x) dæ || -3 -3 showing working.

A:

Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are…

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Q: Find the values of k that make the function continuous. Jk² + 18x, x > -3 f (x) = kx, x < -3

A:

Q: 3) State the critical points of the function g(x) = (x – 9) 23

A: A critical point occurs when the derivative is 0 or undefined.

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: 66. What will be the function g(x) resulting from normalizing the function f(x) = x³ − x4 defined in…

A: To find : function gx resulting from normalizing the function fx=x3-x4 defined in the domain 0, 34

Q: 2. Find the absolute minimum and maximum of the function f (x) = – 2.22 on the interval [-2, 1).

A: We have to solve

Q: (3) Find the absolute maximum and minimum values of f(x) = x³ – 3x – 1 on the interval [0,3).

A:

Q: f(x) = x – e2x %3D

A:

Q: 4. Determine the critical points of the function: f (x) 5.xeº-2x %3D Enter your answer

A: Solution

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 4x –…

A: Since you have posted multiple questions, we will answer the first question. If you want the…

Q: 19 – x² ; if x 3 continuous or not on the interval [0, 3].

A: Given function: fx=9-x2;if x≤3x-3;if x&gt;3 The objective is to determine if the function is…

Q: 1. Find all local max/local min values of f(r) = x² – 6x – 1

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: 7. Find the absolute maximum and minimum of f(x) = x!/² ( on the interval [0, 4]. %3D

A:

Q: 2.7 Given the function f(x) = r²e, Determine the open interval(s) where the functio

A:

Q: 17 The function f is defined by f(x) = 5x - c, where c is a constant. In the xy-plane, the graph of…

A: Solve both the problem in the following way:- (i) given point will satisfy the function. (ii)…

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A:

Q: Find the specific that h (-3) =7 function satisfies hlx)こ 6-5x+x and

A:

Q: Determine all critical points for the function. f(x) = (x - 4)³

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Q: 5. Determine the critical points of the function: f (x) In(x² + 4x + 14) %3D Enter your answer

A:

Q: Determine any critical point(s) for the function f(x)=  -3 / x2 - 9

A:

Q: Let f(x)=1x−2 ; for what values of x , f(x) will be discontinuous?

A:

Q: 8. Determine a quadratic function f(x) = ax² + bx + c if its graph passes through the point (2,22)…

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Q: x+4 if x2

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Q: 1) Find the absolute maximum and absolute minimum for f(x) = x-3x-2 on the closed interval [-2, 11.

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Q: Find the absolute maximum and minimum values of f(x)= 1/4x^4 -x^3 on the closed interval [ -1, 4].

A:

Q: 13. Find a function rule for a function that has x-intercepts of (0, 2) and (0, 8) and a y-intercept…

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Q: х — 1 - 2. For f(X) calculate f-'(8) = ? %3D х — 3 -

A: Given : f(x) = (x - 1)/(x - 3), we want to find the function f-1 that takes the value y as an input…

Q: 6x + 7, on the Find all absolute and relative extreme values of the function f(x) interval [1, 4].…

A:

Q: 7. Find the absolute maximum and absolute minimum values of f(x)=2x-322/3 on the interval (-1,2]).

A: