The graph of a continuous function f is shown in the figure above. If g(x) = / f(t) dt, a then g(x) attains a maximum at what value of x?

Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3

Q: Determine the value of x of the continuous function: * (x – 1 x 3 f(x) = {3x – 3 Зх — (-4x + 3

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. (If an answer does…

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Q: Find the absolute maximum and absolute minimumvalues of f on the given interval.   f(x) =3x4 - 4x3…

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Q: If functions f, and g are differentiable, and have a maximum distance between the two functions at…

A: Sure. Happy to help.

Q: Find the absolute maximum and absolute minimumvalues of f on the given interval.   f(x) =5 +54x  -…

A: Absolute maximum or absolute minimum values of a function on the given interval exists at a point at…

Q: Find the global maximum and minimum for the function on the closed interval. x + 1 f(x) - 1<x< 2 x²…

A: We have to find global maximum and minimum.

Q: Using the (e- 6) definition, show that f(x) = 3x – 1 is continuous at point x = 1.

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Q: If an odd function f(x) has a local maximum value at X=c which of the following must be true?

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Q: True or FalseA 1. A Step-function is continuous at every point in its domain

A: Given: A step - function is continuous at every point in its domain. To write: The given statement…

Q: The function f has a continuous second derivative, and it satisfies f(-6) = -1, f'(-6) = 0 and…

A: Maxima minima problem....

Q: If a function contains a “jump,” occurring at a certain x value, then can the function be…

A: No function is not continues at this x.  Because function has jump discontinue at this x.

Q: Sketch the graph of a differentiable function y = ƒ(x) that has local maxima at (1, 1) and (3, 3);

A: given that a differentiable function y=f(x) and has s local maxima at (1,1) and (3,3) local maxima…

Q: х*(х — 1) f'(x) x + 2 х+ 2

A: Consider the derivative of the function, f'x=x2x-1x+2,    x≠2

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

A: We find the critical points by solving f'(x)=0

Q: Give an example that: the function f has a local maximum at x = 1/2, but it is not differen- tiable…

A: Consider the function:

Q: 3. Sketch the graph of a function that is continuous, but not differentiable at I= 1.

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Q: Find the absolute maximum and absolute minimumvalues of f on the given interval.   f(x) =2x3 - 3x2 -…

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Q: Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit (in dollars)…

A: P(n) = n(50 - 0.5n) - 100 P(n) = 50n - 0.5n2 - 100 Domain : [ 0,100 ] Now, P'(n) = 50 - n  To Find…

Q: Find the exact global maximum and minimum values of the function. f (x) x- lnx for x > 0 If there is…

A: We need to find the global maximum and minimum values of f(x), where f(x) is given by,

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: The function ƒ(x) = |x| has an absolute minimum value at x = 0 even though ƒ is not differen-tiable…

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Q: The total number of local maximum and minimum points of the function whose derivative, for all x, is…

A: 1st derivative of function is f'(X) =x(x-3)^2(x+1)^4 For critical point we must have f'(X)=0 Hence…

Q: A continuous function f satisfies the equation 1 f (x) = x – t+ 2 f(t) dt 0, For all x e [-1, 3].…

A: We have to use leibiniz rule of  differentiating definite integral  d∫f(x)g(x)h(t)…

Q: Let g(x) be a continuous function that has exactly one critical point in the interval [-12, -8].…

A: Lets draw the graph and solve the problem.

Q: If f is a continuous, odd function and f(c) is a relative maximum, then f(-c) is a relative minimum.…

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Q: 18.P. Give an example of an upper semi-continuous function which has an infinite number of points of…

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Q: In the function:  f(x)= (3x^2)ln(x) , x&gt;0 What are the x-coordinates of all local minima and…

A: Given:f(x)= (3x^2)ln(x) , x&gt;0

Q: A function f continuous on (a, b) always has a relative maximum and a relative minimum on [a, b]…

A: We have to check

Q: If f(x) is a continuous, odd function and f(c) is a relative maximum , then f(-c) is a relative…

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Q: Sketch the graph of a continuous function f(x) on the interval [0, 4] that satisfies the following…

A: In the question it is asked to draw a graph between interval (0,4) in which the function -f(x)…

Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

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Q: 1. Give an example of a function f : R –→ R that is continuous and bounded but does not achieve…

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

Q: find the absolute maximum and minimumvalues of each function on the given interval. y = 10x(2 - ln…

A: Given function is:                              y=10x(2-ln x) over (0, 2e)   To determine:…

Q: Determine the value of x of the continuous function: * х — 1 f(x) = {3x – 3 (-4x + 3 x 3

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Q: Find the absolute maximum and absolute minimumvalues of  f on the given interval.

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Q: Which of the following is an example of a continuous variable?

A: Here use basic of continuous variable and discrete variables

Q: The function f(x) =x-X X has a relative maximum point at x = Blank 1

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Q: Use a graph of  f to estimate the maximum and minimumvalues. Then find the exact values.(b) Estimate…

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Q: Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are…

A: Given: Lorenz curve for the distribution of incomes for bankers, fx=110x+910x3. Lorenz curve for…

Q: Draw the graph of a continuous function f(x) where f(-1) = 0, f(3) = 0, 2. but there is no value cE…

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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 &amp; x=2. That is, g'1=0  &amp;  g'2=0 Therefore…

Q: A continuous function, h(x) has a local maximum at (2, 3). What is h’(2)?

A: We have given that h(x)  is a continuous function and has a local maximum at point (2,3).

Q: Find the x value where the function g(x) = xe-lx attains a local maximum. Enter the exact answer. If…

A: Differentiate y and by solving y'=0 obtain critical points. Check sign of y'' on critical points -…

Q: Consider the function f(x) = x - 3 ln(x) on the interval The absolute maximum value is and this…

A: Consider the given function, fx=x-3lnx differentiate the function with respect to x,…

Q: Using the graph above, state where f (x ) (a) has critical points: (b) is increasing: (c) is…

A: According to the given graph: (a).   f(x) has critical points at:  x=0,   x=4   and   x=7

Q: Let F(x) = | f() dt where f(t) is the function whose graph is shown. Where does F(r) have a minimum…

A: Topic:- application of derivatives

Q: Consider the function f(x)=xe^(−5x), where 0≤x≤2. This function has an absolute minimum value=?,…

A: To find critical points we solve f'(x)=0 Use product rule to find f'(x) Then we set each factor…

Q: 2. Give an example of a function f: (0, 00) → K that is continuous and bounded but does not achieve…

A: It is an usual example which derivative not vanish anywhere

Q: Find the absolute maximum and absolute minimumvalues of f on the given interval.   f(x) =(x2 - 1)3…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.