1. Identify the vertex of the following quadratic and state whether the vertex describes a minimum or maximum value for the function. h(x) = 64(x - 10)2 – 8 %3D

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

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Q: 8. For the quadratic function f(x)=2x² – 24.x+90 (a) Complete the square to put the equation into…

A: Given query is to find the the vertex form and the minimum value of f.

Q: Find the absolute minimum value of the function g(x) = e*/(9x), x > 0.

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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: (a)Find the inflection point(s) and (b) local minimum and maximun f(x)=x4-50x2+6

A: forcriticalpoints.

Q: Consider the quadratic function f(x) = ax2 + bx + c, a ≠ 0. If a > 0, then f has aminimum that…

A: f(x) = ax2 + bx + c f'(x)=2ax+b f"(x)=2a   To find the critical value we solve f'(x)=0

Q: What is the minimum point of the curve y = x2 – 6x + 4

A: The given function is: y=x2-6x+4   First, we have to find the critical points by solving dydx=0.

Q: Find the minimum value of the function. f(x) = -2 - 2x + x2

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Q: 8. What is the minimum point of the given function y = x² – 6x + 10? B. k = -3 A. k = -1 C. k = 1 D.…

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

Q: Use the following graphs to find the equation of minimum degree. 1000 -1- 500 -2 f(x) = f(x) =

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Q: The graph of f(xr) = 3(x - 2) - 6 is a parabola that opens with its vertex at ( ), and f(2) : %3D is…

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Q: 22. Find the maximum or the minimum value of f(x)=-2x² –10x+5. SLO 11

A: To find the maximum and minimum values of the function

Q: 6. Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies…

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Q: y x3 - 2x*-5x + 2

A: Second Derivative Test : Consider the given function f(x) .Find Critical point , f'(x)=0 (say) 'c'…

Q: 2. The Minimum point of y= 320

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Q: Give the domain and range of the quadratic function whose graph is described. Minimum = - 7 at x = 1

A: The solution is attached below in Step 2

Q: 1. The graph of f (x) = 2x3 + x² – 20x + 1 has a relative minimum at

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Q: If g'(x) =-3x(x+2), then the graph of g(x) has a relative maximum at what value(s) of x?

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Q: What is the minimum of the function y = -a + 3x for a <-1? %3D -4 -2 04 O2

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Q: 1. Consider the graph of the quadratic function f(x) = 2(x + 3)² + 1 and each of the following: (4…

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Q: Q#4: (i) What is the projected level of revenue in 3 years for a company with current revenues of…

A: (i).       The present value is the value of the sum received at time 0 or the current period.  It…

Q: z = x? + xy + y² - y

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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: at is the shadow price in the following constrained optimization problem? (Round answer to two…

A: Given that Max y=4x1x2 + x12 S.t.    2x1 + x2 =100

Q: Find the minimum and maximum of y = f(x) = x³ – x² – 3x + 2

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Q: I need help with this one too please.

A: To estimate the maximum value of the linear programming problem using graphs

Q: To graph the maximum domain of the function f(x, y) = Vy – 2 - In [(y – 1)² + x – 1] The green…

A: Solve the given problem.

Q: Find the maximum value of the function z=5x+3y subject to the following constraints. x22 y22…

A: Z=5x+3y

Q: Find the minimum value of the function z=9x+2y subject to the following constraints. XS11 ys12…

A: According to question given that:Function z=9x+2yx≤11y≤123x+y≥183x+7y≥54

Q: What are the local max and minimum points of y=x^3-3x+1

A: The given function is: y=x3-3x+1

Q: The graph of f(x) = 5(x - 3)2 - 2 is a parabola that opens upward with its vertex at (x, y) = | and…

A: We have to find the vertex of the parabola and its minimum value.

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

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

Q: 3.3 Determine the quadratic function being the best l2 approximation for the fol- lowing point…

A: Given The given point cloud is -2,5,-1,-1,0,4,1,7,2,6,3,5,4,-1. Apply formula A*Ax=A*y

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

A: Find out the maximum point.

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: Suppose a company has demand function given by q = 760 – 7p and a cost function C(q) = 2400 + 10q.…

A: Consider the given information.

Q: The number of oil changes per hour at Quick Lube is described by the following short-term production…

A: answer is in next step .

Q: Find the maximum value of the function z = 4x+10y subject to the following constraints. x22 y2 2…

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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 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: In a hybrid-engine vehicle, energy from battery (“b" in Amperes) and from 95 octane unleaded…

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

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Q: 2. The Minimum point of y = 8x+4 (x-2)²

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

A: Solution of the problem as follows

Q: Show that the graph of f(x)=(3-4x)/e^2x has minimum value at x=5/4.

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Q: B. Consider the following quadratic function 1. f(x) =-3(x+1)² +5 Vertex; Opening/Direction: Maximum…

A: We are authorized to solve only one independent question, please repost remaining questions…