7) Find the absolute maximum and minimum of y x -3x + 2. Sketch the solution graph.

Q: Find the maximum and minimum points of the following: 1 1. y = vx- 2. у %3D х3 — Зх2 -

A: Given; 1) y=√x-1/√x 2)y=x3-3x2.

Q: Find the local minimum and maximum of y= x2/ 3 + x2

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Q: Find the maximum value of r + y subject to the constraint a2 + y? = 18.

A: The function is given by fx, y = x+y                                          ..........1 The…

Q: . What is the value of the coefficient c of the equation y = ax³ + bx² + cx + d so that it will have…

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Q: Find the minimum and maximum values of the function f(T, y) = 5xy subject to the constraint 4x2 + y?…

A: Explanation of the answer is as follows

Q: The relative minimum of y= x² – 4x+4 occurs at A x = -4 B) x = 4 c) x= -2 D None of the given…

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Q: What is the minimum point of the curve y = x2 – 6x + 4  Please make the solution comprehensible.

A: This question is based on application of derivative.

Q: The relative minimum of y= x - 4x +4 occurs at A None of the given choices B) x = -2 c) x = -4 D) x…

A: We can find the relative minima or maxima by finding x where the first derivative vanishes (critical…

Q: the graph of y = 1/2 + (x2 - 2x + 1)/(x2 - 2x + 2) for 0 … x … 2. Find the coordinates of the…

A: Equating first derivative of a function to zero will give us the critical points of the function i.e…

Q: Find the minimum value of f(x,y)=66x2+9y2 subject to the constraint x2+y2-784

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Q: In the equation y =x³ - 3x² -24x + 6 the minimum point is said to be

A:

Q: For g(x)=1/4x2 -2x+6, Is the vertex is a minimum value or maximum value?

A: If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value…

Q: What is the Maximum of the Graph? y = -(x+3)2 + 3 Oy = -3 Ox- 3 Oy= -7 Oy-3

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Q: Sketch the graph of the solution set of the system of inequalities. Label the vertices of the…

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Q: Suppose two numbers x, y satisfy x – y = 4. The minimum value of the quantity x² + 3y? is O 24 12 36

A: Given  x-y =4 Then x=y+4 And minimum value of u=x2+ 3y2   ...(1)

Q: Find the minimum value of the function f(x,y)=4x+2y subject to the constraint x^2+y^2=30. Express…

A:

Q: 29. Find the extremum of x² + y? + z? subject to the constraint x + y + z = 3a. State whether it is…

A: Let us assume  fx,y,z=x2+y2+z2 and gx,y,z≡x+y+z−3a=0Using lagrange multiplier…

Q: Find the maximum/minimum value of y = 10-4x - 3x² and where it occurs using completing the square.

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

Q: 2. Find the length and width of a rectangle that has an area of 800 square feet and whose perimeter…

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Q: Find the maximum of 2x + 3y on the feasible set given by x2 0, y 20, 2x + y 22, 3x + 4y s 12. a) 6…

A: We sketch 2x+y≥2 , 3x+4y≤12 , x≥0, y≥0 using a graphing calculator.

Q: Find the minimum and maximum values of y=x-9 x + 8 on the interval [-3, 1]

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Q: Which of the following equivalent forms of the equation y -4x -12x-7 can best be used to find the…

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Q: The graph of  f(x) = 2(x − 2)2 − 7 is a parabola that opens upwards with its vertex at (x, y) = 2,−7…

A: Consider the graph of f(x) = 2(x − 2)2 – 7

Q: Q4:- Find the minimum value of the function f(x, y) = x + y, subject to the constraints xy = 16 , x…

A: Please see the explanation below

Q: Find the absolute minimum value of the fx)=4-x2, -35XS1 -2 o -3 . 1.

A: As the coefficient of x2 is negative so the minimum value of function exists at either end of the…

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 − 12x2 − 27x + 8…

A: We are given the function f(x) = x3 − 12x2 − 27x + 8. Here, we need to find the local minimum value…

Q: The relative minimum of y= x² – 4x +4 occurs at (A) x= -4 B None of the given choices c) x = -2 D) x…

A: We have to find out

Q: Find the maximum value of P(x,y) = 12x + 15y subject to the constraints: x>0 y 0 4x + 3y 12

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Q: SHOW DETAILED SOLUTION OF EACH PROPERTY (CRITICAL POINTS, MAXIMUM & MINIMUM, INFLECTION AND…

A: The equation of the curve is y2=x2-4x-12x2-2x-3. Firstly, factorize both numerator and denominator.…

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: Find out the maximum point.

Q: Find the maximum value of the function f(x, y) = x²y³ subject to the constraint a2 + y? = 10.…

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Q: Find the minimum value of h(x, y) = (x − 2)2 + 2xy − (y + 4)2 constraint y=x. subject to the

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Q: Determine the extremum points and the values of the maximum and minimum of the function + f(x, y) :…

A: Given:  f(x,y)=xy+yx;   g(x,y)=x2+y2-8=0So,…

Q: Solve the given item on a separate sheet of paper. A rectangular box with open top and has a square…

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Q: Find the maximum value of x + y subject to the constraint x2 + y? = 18. %3D

A: We will use Method of Lagranges multiplier to fing maximum value

Q: Express y = 3x2 – 8x - 1 in the form y = 3(x – p)² + q, where p and q are constants and hence find…

A: To express in the form y=3(x-p)²+q

Q: Draw the graph of y = 3x2 + 6x − 24 and label its minimum

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Q: Find the maximum and minimum points in the curve, and identify intervals where the function is…

A: The solution is given in the next steps.

Q: i) Find dp(v5,Vs), dp(v2,V4), and dp(V2,Vg). ii) What is the maximum distance between any two…

A: From the given graph, we notice that the edges in the given graph are 1-3, 1-4, 1-6, 2-4, 2-5, 2-4,…

Q: Find the minimum value of f (x,y,z) = 2x2 + y? + 3z? subject to the constraint 2x - 3y - 4z = 49

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Q: 1. The Maximum point of y= 9-x² x²-4

A: This is a problem related to maxima and minima. Based on the general formula and concept we will…

Q: Determine without graphing whether the given quadratic function has a minimum value or a maximum…

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Q: Find the values of x, y that maximize 7. - 2x? - 2xy - +x+ 9y 13 subject to the constraint x+ y -…

A: The solution of the problem is given in the next step.

Q: 2) y = 2x² – 4x + 9

A: For vertex  we use x coordinate of the x vertex is =-b/2a and then put the value of x vertex in the…

Q: Solve the given item on a separate sheet of paper. A rectangular box with open top and has a square…

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Q: The are of a rectangle is 100 cm2 and one of its sides is x cm. Find the minimum perimeter possible.

A: Let us consider a rectangle with length l unit, breadth b unit Then area of this rectangle= lb…

Q: Show detailed solution. x² +x-12 Minimum point of y = x² -4

A: Given: y=x2+x-12x2-4

Q: Find the absolute maximum and minimum values of f(x, y) = 2x2 + 3y2- 4x +5 subject to the constraint…

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Q: Find the minimum value of f(x,y)=48x2+30y2 subject to the constraint x2+y23D361

A: Since you have asked multiple questions in a single request we would be answering only the first…