The function f(r) = 4x' + 6x² – 672z +3 is decreasing on the interval ( It is increasing on the interval (-, and the interval ( The function has a local maximum at

Q: 2/3 Q31 3x-2x, [-1,1] =3(x)-2 2- -1/3 -1/3 2x 2(x"?-1)=0 -1/3

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Q: Find the general solution using Reduction of Order: y''=2lnx

A: Explanation of the answer is as follows

Q: Find the minimum and maximum values of f(x) = 2 on the interval [9, 10] by comparing values at the…

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Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

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Q: What is the maximum value of y = cos x. For - < x < < ?? 1 1/2 2.

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Q: Find the number x in the interval-;,1| so that the difference of the number from thrice'its cube is…

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Q: A rectangular sheet of metal 360mm by 240mm has four equal squares cut out at the corners. The sides…

A: Volume of the rectangular box= (Length)*(Breadth)*(Height)

Q: Explain how the First Derivative Test determines whetherƒ(x) = x2 has a local maximum or local…

A: Given:   f(x) = x2 To determine whether f(x) has a local maximum or local minimum at the critical…

Q: The function K has one critical point at 1 = 0. Use a number line and the first derivative test to…

A: We will solve the following.

Q: 2. Find the local maximum and minimum values and saddle points (if any) of the function f(x, y) = xy…

A: Here, the given function is: f(x,y)=xy-2x-2y-x2-y2

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A: In this question we are given with the function and we have to find the minimum stock price which we…

Q: Find two positive numbers with product 289 and whose sum is a minimum.   Enter your answers in…

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Q: Find the maximum or local minimum f(x)=sinx.[0,4]

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Q: Find the critical numbers for function f(x)=x-3 ln(x)

A: Given function:  fx=x-3lnx

Q: 9. Find the local minimum and local maximum values using both the First and Second Derivative…

A: To find the local minimum and local maximum values.

Q: (b) Let f(x) = 12x35+ 15x* – 40x³ + 17. Find the critical numbers, and show what the Second…

A: f(x) = (12x 5+15x4 -40x3 +17.   critical points   f'(x) = 0   60 x4 + 60x³-120x²  = 0.   x² ( 60…

Q: Since f'(x) > 0 when x 0 (x 1), f is increasing on the intervals (--, -1) and and decreasing on the…

A: Given that: f'(x)=-4x(x+1)2(x-1)2

Q: Consider the function ƒ(x) = x3. Where is the critical pointof ƒ? Does ƒ have a local maximum or…

A: Given  ƒ(x) = x3

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

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Q: Find all critical points of the function f(x)=5x5-2r and use the First Derivative Test to find local…

A: The given function is f(x)=5x45-2x

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A: At the point of local minima or Maxima the derivative vanishes.

Q: Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by  N=…

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Q: Find the positive critical point of the function f(x) 2+3

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Q: Does Newton’s Method fail when the initial guess is a relative maximum of f ? Explain.

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Q: Find the root between [-1,0] where f (x) = (x+2)' +2x – 5 with error epsilon=0.1 by using False…

A: There are many methods to find the roots of an equation in a given interval. One among such method…

Q: Q2: Find all critical numbers of the function f(x) = (x- 2)2/3 +1 and classify each critical point…

A: Here we will find out the required value.

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

A: Differentiate the given function with respect to x and equate it to zero,…

Q: The profit function (in millions) for a beverage company for the years 2008 through 2015 can be…

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Q: find the critical points and and absolute extrema of the function y=9-x^2 on the interval [-3,1]

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Q: Find the relative extrema of f(x) = 3 +90x – 9x² using both first %3D - and second derivative tests.…

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Q: On the graph of f(x)=sinx and the interval [−2π,0), for what value of x does f(x) achieve a minimum?

A: The given function is fx=sinx Differentiating w.r.t. x to both sides- f'x=cosx To find the critical…

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given function:                         y=ex-e-x The domain of a function is the set of input values…

Q: Find all critical points of the function y = e(3 e² (3 – x²). Then, using the second derivative…

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Q: Find a root of the function f(x) = 2x – sec(x-3) + 1 near x = 4.5 using any open method (3 decimal…

A: To find the root of the below function near x=4.5. fx=2x−secx−3+1

Q: 8. Let f(x) = 9x +- Find the critical number(s) and determine whether they are local…

A: fx=9x+1x take the first derivative f'x=ddx9x+1x f'x=ddx9x+ddx1x f'x=9-1x2 take the second derivative…

Q: The marginal cost function for the manufacture of wireless headphones is given by: C0(x) = 20 −x200…

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Q: Find the critical points of the function x + 1 f(x) = (5 – x)2 -

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Q: 1. Show a numerical method of approximating the instantaneous rate of change at x = 3 for the…

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Q: 4 For the function f(x) = 6x + =, find the critical numbers and use the First Derivative Test to…

A: To find the critical number and maximum and minimum.

Q: 2. Integrate the function (x+2/x)ax using multiple-application trapezoidal rule with n= 3

A: Trapezoidal Rule: ∫abf(x) dx≈∆x2(f(x0)+2f(x1)+ ... +2f(xn-1)+2f(xn))where ∆x=b-an

Q: Limit x approaches to + infinity 3x+1 ÷ 2x-5

A: To evaluate: limx→∞3x+12x-5 Solution: Here,limx→∞3x+12x-5 On simplifying further we get:…

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

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Q: Find the minimum and maximum values of f(x) = on the interval [6, 7] by comparing values at the…

A: Consider the given:…

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

A: The given function is f(x)=2x4-3x3. Find the critical points of f(x)=2x4-3x3 as follows. The…

Q: The profit function (in millions) for a beverage company for the years 2008 through 2016 can be…

A: Given profit function is f(x)=-26x2+728x-2643where x=8 is year 2008.

Q: The stock price for a certain corporation can be approximated for the years 2012 through 2017 by…

A: Given that                                                         f(x)=6.3x2-168x+1199 derivative…

Q: Find the absolute maximum and minimum values of f(x) = (z² + æ)f over the interval [-3, 4]. and it…

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