1 Show that f (x) = is Libschitz function on %3D x +1

Q: Find the critical value(s) [which is the x-coordinate(s) of the critical point(s)] of f(x)=…

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Q: Find all critical points of the function f(x)=x√1−x2.

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Q: find the absolute maximum and absolute minimum values of ƒ over the interval. ƒ(x) = (4/x) + ln x2,…

A: Given,

Q: Find the domain and all critical points in the domain y=ln(x-5)

A: Domain: (5,∞),{x|x>5}

Q: Find the local minima/maxima of -x + ln x if it exist

A: fx=-x+lnx Differentiating with respect to x, we get f'x=-1+1x Now to find critical values, solve the…

Q: 2. A college professor never finishes his lecture before the end of the hour and always finishes his…

A: Note: Since you have posted a question with two subparts, we will solve the first part for you.…

Q: B. Find the extreme values on the given closed interva 1. f(x) = 4x - 3; [1,5] 2. f(x) = x + 8;…

A: follow next step

Q: 3 (a) Determine exact locations of critical numbers of the function f(x) COs x + cos 2x

A: for finding critical point take f'(x)=0

Q: 1,3 2,1 3,4 f(x) 2,6 3,5 3,2

A: The given tabular data is,

Q: 5. Show that the two functions yn = Aet (interest compounding) and y2 = Ae (discounting) are mirror…

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Q: Find the marginal revenue function. R(x) = x(18 - 0.04x) R'(x) =D

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Q: 4х- 24 2. f(x) = %D 2x-4 x-int: VA: НА: Hole: Domain: Range:

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Q: find all critical points of the function f x = x^−1 − x^−2

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Q: 1) Find the average rates of change of f(x) =x^3-3x a) from x1=-2 to x2= -1 and b) from x1=0 to x2=1…

A: 1.The average rate of change of any function (say y) is given by the formula -y =…

Q: 2. Suppose the PDF of X is given by fx(x) = 5e-5x(o)(x). Find its CDF.

A: Solution

Q: Let X be gamma-distributed, with Var(X)= 2E(X) and moment generating function M, (3/8)= 2. %3D…

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Q: - y = In(x – 2)

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Q: Find the critical points of the following function.   f(x) = 1/x - ln(x)

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Q: 1 4. Find the maximum value of f (x) = In(x- Inx) on the interval-<x<e. e

A: Given problem:- Find the maximum value of ƒ (x) = ln(x−lnx) on the interval 1/e≤x≤e

Q: 4. Consider the logistic map f(x) = (1+ v6)x(1 – x) • Find the fixed point of 2-periodic cycle. •…

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Q: find the critical point for the function f(x)=2 x3+3 x2 - 72x+ 14 %3D O None O 4,3 -1,2 O 3,-4

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Q: Let f(x)=(7+3x)4   f(x) has one critical value at A =

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Q: The Lorenz curves for the income distribution in the United States for all races for 2015 and for…

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Q: K3/ªL374. Show that marginal productivity Consider the production function Q of each factor is…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 1. Let flxx) = x³ + y3 - 3x2-3y2 - 9y. (a) Find all of the critical points of f.

A: Part (a): (i) Find derivative of x and y. (ii) Equate to zero, to get critical points.

Q: Consider the graph of y = f(x). -5 -4 -2 2 3 =1 -2 List all critical values on the interval ( – 5,…

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Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

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: Find the critical points of the following function f(x) = - 3x +5x on [0,4]

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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: Determine the GINI Index of Country X whose Lorenz curve is f(x) =;x² +÷x*. If Country Z 3 has a…

A: The Lorenz curve  of country X is f(x)=12x2+12x4. The GINI index  of a certain country with Lorenz…

Q: Consider Lundberg's Model for Poisson process with parameter 1 and exponential claims X - f(x) = ½ e…

A: Given Lundberg's model for poison process with parameter is 1... Insurer loading is 15% Reinsurer…

Q: Find the linearization L(x) ofy = e8# ln(x) at a = 1. L(x) =

A: We will use formula for linearization at one variable.

Q: In an effort to make the distribution of income more nearly equal, the government of a country…

A: Given: Lorenz curve for first year: y = 0.97x2.1 And for the next year: y = 0.35x2 + 0.65.

Q: 84. Let f(x) = x' +3x² - 24x + 1 and g(x) =x' + 6x² - 36x + 1 . For what value(s) of x do both f(x)…

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Q: 4 If the critical number of the function f(x) =x is x 0, then the function %D is decreasing on (0,0)

A: We can find the decreasing interval as below.

Q: b) Let f(x)=(x-2/1-x be defined in [-1, 1]. Find the critical points.

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Q: 7. The function (x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree

A: .Given,f(x,y) = (2x4+y4) ey2x +x y3Put y= xSo we get,f(x,x)= (2x4+x4) ex2x +x x3 f(x,x)= (3x4) e0.5…

Q: Example 8.19. Use Romberg's method to compute dx 1 + x² correct to 4 decimal places.

A: Let y = 11+x2  and let I = ∫01dx1+x2take h = 0.5 =12The tabulated values of y are   x0 x1 x2 x…

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: 3. Find the critical points of the function f(x,y)=xln(x+y) Use the Second Derivative Test to…

A: The given problem is to find the critical points of the given function and use second derivative…

Q: 2. Evaluate f(x) = e3x + 2 at x = -1. Round to the nearest thousandth. %3D %3D f(-1) = ...

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Q: Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY

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Q: Let x~ possion(alpha). Show that E[x(x-1)(x-2)....(x-k)]=ak+1

A: Solution

Q: 3. Prove that if the more general form of the Cobb-Douglas production function Y = AK" L %3D…

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Q: a) Find the marginal pdf's of X1 and X2 b) Are X1 and X2 independent? Why or why not? c) Find P(X1 <…

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Q: If a company's marginal revenue function is  MR(x) = xe−x/9,  find the revenue function. [Hint:…

A: Consider the given marginal function.

Q: EXAMPLE 3 Find the local maximum and minimum values and saddle points of f(x, y) = x4 + yA - 4xy +…

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