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Q: Maximize P=x1+x2   Subject to: 2x1+x2≤4 x1+2x2≤3 x1,x2≥0   and give the maximum value of P

A: Consider the given linear programming problem Subject to :

Q: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: I have stated the used formulas in the solution

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A: Given  f(x)=-x3+12x (a) To determine whether f is even, odd, or neither. (b) To determine the local…

Q: Maximizing revenue A sales analyst determines that the revenue from sales of fruit smoothies is…

A: Given revenue function: Rx=-60x2+300x where x is the price in dollars per item and 0≤x≤5

Q: The function f(x) = 2x – 30x + 126x + 2 has one local minimum and one local maximum. This function…

A: The given function is  fx=2x3−30x2+126x+2

Q: Find the absolute maximum and minimum values of the function f(x, y) = 12x+ 6y−x^3−y^2 on the…

A: Given the function, f(x,y)=12x+6y-x3-y2 ⋯⋯(1) on the rectangular domain -3≤x≤3, 0≤y≤8. To find the…

Q: %3D Find the maximum value of the function f(x) =x° - 9x2 + 15x - 5. Answer: Find the value of x for…

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Q: 2. For the function g(x) = -2x² a. vertex b. axis of symmetry c. root(s) ototion

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: 6. a) Find the absolute maximum and the absolute minimum of f (x) = x³ – 2x3 for –8 < x < 27. b)…

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Q: The function f(x) 2x3 – 36x2 + 210x + 9 has one local minimum and one local maximum. This function…

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Q: The profit function for a certain commodity is  P(x) = 190x − x2 − 1000.  Find the level of…

A: Consider the given function.  Differentiate the function and equate it with 0. This will give the…

Q: Find the maximum and minimum values of the function g(θ)= 5θ - 6sin(θ) on the interval [0,π].…

A: Se the details solution in below

Q: (b) Find the local minimum and maximum values of f. f(x) = x3 − 9x2 − 21x + 8 local minimum value:…

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Q: Farmers use a certain plant food costing $4.00 per ounce to help them in growing oranges. It is…

A: Cost for 1 Ounce  of plant food = $4 Cost of x ounces of plant food = $ 4x Number of crates of…

Q: Find the range of each quadratic function and the maximum or minimum value of the function. Identify…

A: Find the range and minimum or maximum value of the function f(x) = 2 x2 + 8 x -2. Also, identify the…

Q: 2. Find the intervals of increasing/decreasing of the function and also find the local maxima and…

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Q: The absolute maximum and absolute minimum value of x2 the function f(x) = 5x – 5 in [-2,6] is: 2

A: The power rule of differentiation states that d dxxp=pxp-1, where p is any real number. Use the…

Q: The utility function of a certain good is given by U(x) = 60x - x2 where x represents the number of…

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Q: Ventilation requirements Ventilation is an effective way to improve indoor air quality. In…

A: Given function, V(x)=35x Where x be the number of peoples in the dining area V(x) be the ventilation…

Q: ind the absolute maximum and the absolute minimum values of f(x) = x 2+8x−20 on the interval [−8,…

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Q: 5. You are not allowed to use the graphing calculator For the given equation f(x) = x³ – 6x2 +9x- 2…

A: Only 5 solved... According to given   F(x)=x3-6x2+9x-2

Q: The function f(x) = - 2x3 + 27a2 48x + 11 has one local minimum and one local maximum. | This…

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Q: An equation of a quadratic function is given f(x) = 2x2 - 8x - 3. Solve; a. Determine, without…

A: Maxima or minima:  f(x) is any function 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate f''(x)…

Q: Revenue The price for a product is given byp = 100,000 - 0.1x2, where x is the number ofunits sold,…

A: R=100,000-0.1x2·x a. Put R=0 in R=100,000-0.1x2·x, we get ⇒100,000-0.1x2·x=0⇒100,000-0.1x2=0  or…

Q: A marshy region used for agricultural drainage has become contaminated with a particular element. It…

A: The given function is:fx=x2+252xwhich can be written asfx=x22x+252x      =x2+252x

Q: The function f(x) - 2x + 33x² – 168x + 1 has one local minimum and one loca This function has a…

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Q: f(x) = -x2 + 26x − 6 (a) Find the vertex of the graph of the equation. (x, y) = (   ) (b) Determine…

A: f(x) = -x2 + 26x − 6 To find out the vertex we use formula x=-b2aa=-1  and b=26x=-262(-1)=13x=13 Now…

Q: 3x Q.6 Find the absolute maximum and minimum values of function f(x)= √4x²+1 the interval ; [-1, 1]…

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Q: The function f(x) = 2x³-36x² + 210x + 11 has one local minimum and one local maximum. Use a graph of…

A: The given function is  fx=2x3-36x2+210x+11

Q: Pollution A marshy region used for agricultural drainage has become contaminated with selenium. It…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. (The point is…

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Q: Find the minimum value of the function f(x)= ex^2+4x

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Q: The function f(x)=2x3-27x2+48x+2 has one local minimum and one local maximum. Use a graph of the…

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Q: he profit function for a certain commodity is  P(x) = 180x − x2 − 1000.  Find the level of…

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Q: The function f(x) - 223 2a +30z? + 30x - 54x + 5 has one local minimum and one local maximum. This…

A: Topic  = Functions

Q: The function f(x) = 2x -27x2 +48x +8 has one local minimum and one local maximum. Use a graph of the…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Find the relative maxima and minima of y by the second-derivate test: y= 2x/(1-2x) (x is not 1/2)

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Q: Enter the function f(x) = 9x ^ 2 - 54x + 85 the form f(x) = a * (x - h) ^ 2 + k where a, and k are…

A: The quadratic function f(x)=ax2+bx+c represents a parabola. The vertex form of the quadratic…

Q: The function f(x) = -2x3 – 3x? + 12x – 4 is increasing on the interval ( ). It is decreasing on the…

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Q: The function f(x)=2x^3−30x^2+54x+1 has one local minimum and one local maximum. This function has a…

A: See the details solution in below

Q: on the interval [0,4]. 8x Find the maximum and minimum values of the function f(x) = x x+2 The…

A: Solved below

Q: Find values of a and b such that the function ƒ(x) = ax + b/x2 - 1 has a local extreme value of 1 at…

A: Given that f(x)=(ax+b)(x2-1) has a local extrema of 1 at x=3. We need to determine whether x=3 is a…

Q: The function f(x) - 2a3 + 42x2 - 270x + 3 has one local minimum and one local maximum. %3D This…

A: First I have written a short note about local maxima and local minima of a function, just use them…

Q: Find the maximum and minimum values of the function f(x) = x 64x x+4 on the interval [0,15]. The…

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Q: The function f(x) = – 2x³ + 27x² 48x + 7 has one local minimum and one local maximum. This function…

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Q: OConsider the function f(x) = x – 5 In(x), <x< 8. The absolute maximum value is and this occurs at x…

A: Consider the function  f(x)=x−5ln(x)                   15≤x≤8

Q: Find critical values of the function. If they exist label as a max/min or IP. Must show and use f'…

A: topic- application of derivatives

Q: The function f(x) = 2x3 – 30x2 + 126x + 2 has one local minimum and one local maximum. This function…

A: The function is given as, fx=2x3-30x2+126x+2 Differentiate w.r.t. x,…