The function f(x) = 4x + 3x has one local minimum %3D and one local maximum. This function has a local maximum at x = with value and a local minimum at x = with value

Q: Find the relative maximum / minimum values of the function S(x)= *-2 x+2 State where the function is…

A: The given function is: f(x)=x-2x+2⇒f(x)=x+2-4x+2⇒f(x)=1-4x+2

Q: Find the values of constants a, b, and c so that the graph ofy = ax3 + bx2 + cx has a local maximum…

A: Given that: y = ax3 + bx2 + cx has a local maximum at x = 3, local minimum at x = -1, and inflection…

Q: Does ƒ(x) = (7 + x)(11 - 3x) 1>3 have an absolute minimum value or an absolute maximum?

A: Here we have,  f(x)=(7+x)(11-3x)13 differentiate with respect to x

Q: Determine the critical numbers of the given function and classify each critical point as a relative…

A: Given that gx=4-2x+9x2Solution :if we have to find critical point then first derivative equal to…

Q: FIND THE MINIMUM AND MAXIMUM VALUE F (X) = X/(1-X) X e(0,1)

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Q: 3. x20 y 7-x Ax, y) = 3x +y Minimum: Maximum:

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Q: f(x) = x2 -x-7 is The relative maximum value of and its relative minimum value is

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Q: What is the x-component of the minimum point of the function in the picture?

A: Given  z=x2+xy+y2-y ∂z∂x=2x+y On putting,  ∂z∂x=0 ⇒2x+y=0 ---> eqn(1) Now, ∂z∂y=x+2y-1 On…

Q: Find the absolute minimum maximum if they exist for f(x) = x+ 4/x

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Q: Suppose f'(x) =x++x³ – 6x². Determine the value of x where f has a relative minimum value.

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Q: Find the absolute maximum and absolute minimum f(x) = x³ – 6x² + 9x + 9, [-1, 8] %3D absolute…

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Q: The function F(x) = 2x^3 + 3x^2 has a relative minimum point at x =

A: We will solve the problem

Q: Find the absolute maximum and minimum values of ƒ(x) = x2 on[-2, 1].

A: Given,  fx=x2 on −2,1

Q: Does x=6 belong to a local maximum or a local minimum? Does x=0 belong to a local maximum or a local…

A: Here we have,  differentiate with respect to x

Q: 8x 25. q(x) = x² + 1

A: by using definitaion of derivative

Q: What is the relative maximum value of the function f (x) = 2/x – x?

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

Q: Does ƒ(x) = (7 + x)(11 - 3x)^(1/3) have an absolute minimum value? An absolute maximum? If so, find…

A: Check the function has absolute minimum value.

Q: A product can be produced at a total cost C(x) = 800 + 100x ^ 2 + x ^ 3 dollars , where x is the…

A: Find the profit function P(x) as the difference of the revenue function R(x) and cost function C(x).…

Q: 1. a) Determine the coordinates of the critical points of the function y = 36x – 3x² – 2x³ b)…

A: For finding critical points  Y' = 0 For maxima and minimum values find  Y"(x1) and Y"(x2)

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: What is the absolute minimum value of p(x)=2x^2+x+2 over [−1,3]?

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Q: 2. Find the minimum value of f(x) = %3D

A: We expert are supposed to do first question . We have to find minimum value

Q: Find the absolute maximum/minimum of function f(x) = 4x3 - x2 - 2x %3D for interval of [0, 1]

A: The absolute maximum of a function in interval a,b is the maximum function value over this interval.…

Q: Find the exact value for the absolute minimum of the function y=x*

A: The given function is y=xx

Q: Find the coordinates of the maximum point. 4 In x +4 y=

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Q: Find the local minimum/maximum of y=x³-9x²+ 15x+4 A minimum at x=5, maximum at x=1 B minimum at x=1,…

A: Given that: y=x3-9x2+15x+4

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

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the absolute minimum and absolute maximum for y = x3 – -+ 4x +1 on [-2,2].

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Q: Determine the critical value(s) of y = -8x2+ 12x + 3 and state if it is relative minimum or relative…

A: For critical point. Put dy/dx =0. Put the value of critical point in given equation to find critical…

Q: В f has a relative maximum at x = 1. f has neither a relative minimum nor a relative maximum at x =…

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Q: The minimum value w=_____ occurs when y1=_____ y2=______, and  y3=________

A: To solve the Linear programming problem: minimize: w=14y1+56y2+64y3Such…

Q: 3. Find the stationary points (local maximum and local minimum) of the function f(x) = -3x3 + 3x² +…

A: Solution:Given  f(x)=-3x3+3x2+3x+6To find Stationary points of the given function:Formula:dfdx=0…

Q: A firm has decided to use more energy-efficient equipment that is expected to produce a savings rate…

A: Given savings rate is  S'x=60-4x                       (i) From eq. (i)…

Q: A manufacturing company makes door hinges. The cost function for making a hinges per hour is C(x) =…

A: The cost function for making x hinges per hour is C(x)=0.0007x3-0.1796x2+14.663x+160 The critical…

Q: Use the graph to state the absolute and local maximumand minimum values of the function.

A: Absolute maximum value= 5  Absolute minimum value= None (because there is an open circle at the…

Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e

Q: Find the critical values, inflection, maximum and minimum points of the function. Also, provide a…

A: The given function is fx=x2-8x+4.

Q: If f'(x) = x - 2x´ - x + 2, then ƒ has a relative minimum at x= 2

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Q: Solve the problem graphically and calculate the Z value of at the optimal solution (

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Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function…

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Q: Find the value for x for which the graph of y =2e reaches its first minimum value.

A: To find the value for x for which the graph of below equation reaches its first minimum value.…

Q: f(x) = }x* – }x³ – x² + 2x – 1 - -

A: We have the given function as fx=14x4-23x3-12x2+2x-1             ⋯⋯1 In order to find…

Q: Find the maximum and minimum values attained by the function: f(x) = x +-

A: Here the given function as fx=x+5x or fx=x2+5x Differentiate with respect to x…

Q: 3) Find the abolute maximum and absolute minimum valuer of f(x) = x²-6x+5 %3D

A: using double derivative test

Q: Use the graph to state the absolute and local maximumand minimum values of the function.

A:

Q: Find the coordinates of the absolute maximum an d minimum points for f(x)=2x²-x* given x €[0,4]

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Q: Where are there local minimum(s)/maximum(s) f(x)=3(2x-1) -4(x+1)?

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Q: Find the minimum and maximum of x3+3x². on the interval [0, 3].

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Q: or equal to 0). Find the minimum possible value of X346.

A: here given mean of 345 quantities is 5.9