For f(x) = 4x3 - 6x2 - 24x + 5, find the relative extrema (if they exist). List your answers as ordered pairs. is a relative minimum. is a relative maximum.

Q: Use a graphing utility to approximate the relative minimum of the function f(x) = 3x2 − 4x − 2.

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Q: let C( x)  be the cost to produce x batches of widgets, and let R(x)  be the revenue in thousands of…

A: Given, Rx=-45x2+10x and Cx=2x+15. a) The graph of Rx=-45x2+10x and Cx=2x+15 is as follows:

Q: Suppose the cost and revenue functions of a company are R(x) = 60x and C(x) = 360 + 40x + 0.1 x²…

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Q: Find the relative maximum point of the curve: Y=16x+4x2-x4

A: Solution of question as follows

Q: A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts…

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Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = 3xy, subject to x + 2y = 32

A: Given f(x,y)=3xy , subject to x+2y=32 To find the relative maxima: x+2y=322y=32-x⇒y=32-x2 Hence,…

Q: (X- At which value does the function g(x)= 3x^4 - 4x^3 attain a the minimum value? Type answer as…

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Q: The function f(x) = x8 + 4x3 –- 7x + 13 has where the absolute minimum occurs, correct to

A: Given, the function        f(x)=x8+4x3-7x+13

Q: Please

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Q: For what value of x the function x2+y2 is minimum if x+y=20

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Q: Find the minimum  of the function f(x) = 2x3 + 3x2 − 12x + 17

A: We have to find the minimum of the function f(x)=2x3+3x2-12x+17.

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

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Q: Find the maximum of Q= xy if x+ y = 50. The maximum value of Q is Q =

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

A: F''(2)  greater then 0

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 where x…

A: The extremum value of a real-valued function is determined through differential calculus. It is one…

Q: Given f(x) = x4 − 2x2 . Find the local maximum and minimum values

A: The given function is

Q: A manufacturer has determined that the marginal profit from the production and sale of x coffee…

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Q: For Exercise, identify the location and value of any relative maxima or minima of the function. 2 y…

A: A relative maximum is a point where a curve goes from increasing to decreasing.  A relative minimum…

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = 12xy - x2 - 3y2, subject to x + y = 16

A: f(x,y)=12xy-x2-3y2 , subject to x+y=16

Q: Find the maximum profit and the number of units that must be produced and sold in order to achieve…

A: Given: Revenue, Rx=52x-0.5x2 Cost, Cx=22x-1 Objective of the question is to find the maximum profit…

Q: Find the minimum value of the function f(x) = 2x² + 18.3x + 45 to the nearest hundredth.

A: Given function f(x)=2x2+18.3x+45

Q: For what value of X does the function f(x) = x³ – 9x² – 120x+6 have a relative minimum? A 10 В) 4 3

A: f(x)=x3-9x2-120x+6

Q: A Calculator manufacturer's fixed daily costs are given by the function C(x)=750+5x-0.6x2 where x is…

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Q: z = x? + xy +y2 - y

A: Given  Z = x2+xy+y2-y                ..... ( 1) Differentiating equation 1 w r t x ∂Z∂x= 2x+y…

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = x2 - 5y2, subject to x - y = 12

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Q: For what value of X does the function f(x) = x³ – 9x² – 120x+6 have a relative minimum? (A) 10 (в) 4

A: solution is given below .

Q: Given: y = 2x3 – 6x + 2 i. Determine its relative maximum point. ii. Determine its inflection point.

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Q: Given that a function y=x3, has a vertex at (-2,0), a local maximum at (-1,3), and a local minimum…

A: Given that a function y=x3, has a vertex at -2,0, a local maximum at -1,3, a local minimum at -3,-3,…

Q: A shop sells pies for $5 each. The daily cost function has the form C(x)=x+10+0.01x2, where x is the…

A: Revenue function, R(x) = price x Quantity = 5x Cost function, C(x) = x + 10 + 0.01x2 Profit function…

Q: The cost of producing x boards is given by x2 + 20x + 500, while the price of each board if there is…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: A fast food restaurant hos a cost Production C(x) = ||x+120 and arevenue function R (x) = 5x,When…

A: Consider the profit function is P(x)=R(x)-C(x) when this function is more than 0 then company makes…

Q: What is the minimum of f (x) = (x + 3)2 − 4?

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Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…

Q: Find the interval where the graph of y = x3 + 2x2 − 4 is decreasing and concave up.

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Q: Find and label as minimum or maximum the stationary points for: f(x)-x -20х+105

A: We will solve the problem

Q: Draw the graph of f ( x ) =3 x2+5 x−4 for a. From the graph, identify the values of x when f (x)=0.…

A: Follow the steps below to plot the graph of y=f(x) . Take arbitrary integers for the values of x…

Q: Find and label as minimum or maximum the stationary points for: f(x)-2x'-21x' +60х+10

A: Find the local maximum and minimum of the given function

Q: What is the minimum of the function y = -x° + 3x for x <-1? -4 O-2 4. O 2

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Q: Find the maximum of Q=xy if x+y= 56. The maximum value of Q is Q =

A: Given that x+y = 56 And Q = xy We have to find the maximum value of Q.

Q: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

Q: t is the absolute minimum value of h(x) = -2x² %3D

A: Solution of the problem as follows

Q: Suppose a manufacturer of washing machines found that when the unit price is $x, the revenue R (in…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Given: y = 3x -9x -1 i. Determine its relative minimum point. ii. Determine its inflection point.

A: The solution are next step

Q: Use the graph of y = f(x) to:Where does the relative maximum occur?

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Q: suppose that the price per unit in dollars of a cell phone production is modeled by p=$85-0.0125x,…

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Q: Find the relative maximum or minimum value (if any) of f(x, y) = 2x3 + xy2 + 5x2 + y2

A: The given function is: f(x,y)=2x3+xy2+5x2+y2