Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.  f(x, y) = x3 − 3x + 3xy2

Q: Find the coordinates of the x-intercepts of the graph of the equation. (If an answer does not exist,…

A: The given equation is,

Q: What is the maximum point of the curve y = x3 – 12x + 8   What is the inflection point of the curve…

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Q: A fertilizer producer finds that it can sell its product at a price of p = 2000 – 0.4x dollars per…

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

A: Solution of question as follows

Q: Find any relative maximum or minimum points of the given function. y = x - 8x - 2

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Q: . The Minimum point of y = x3 3x+6

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Q: land bordered on one side by a highway. There are 760ft of fencing available to fence the other…

A: Length of fencing = 760ft  Length of 2 parallel sides = x

Q: A closed cardboard box is designed to hold a volume of 288 cm3 . The length is 3 cm and the width x…

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Q: An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the…

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Q: Given the function y = 6x2 - x3 a. Find the intersections with the x and y axes b. Find maximum,…

A: Given. Y = 6X² - X³ And at maxima and minima dY/dX = 0

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

A: forcriticalpoints.

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

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

A: Given:                  Profit function :…

Q: I need help with optimization problems. For example, a rectangular pasture has to have 20,000 square…

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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 Critical points of the ff equation and Determine the Maximum and Minimum. - 2. y= 4x -432x…

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Q: Show DETAILED SOLUTION of the curve and sketch fully. Solve intercepts, asymptotes, critical points…

A: Given :                  y = x2-42x-4                        Intercepts :                  To find…

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

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Q: A large corporation with monopolistic control in the marketplace has its average daily costs, in…

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Q: The demand equation for a certain commodity is given by the following equation. 15x2 - 26x + 2028,…

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Q: a. What is the maximum or minimum point for the curve y = x² - 4 b. What is the maximum or minimum…

A: Given  y = x2-4    .............. (1)  To check local minima or local maxima, we have to…

Q: The cost function for the manufacture of x number of goods by a company is C(x) = xvx³ - D x² + F.…

A: The maxima or the minima can be calculated using the derivatives. The second derivative test can be…

Q: f(x) = 3x2 - 5x + 7  find the minimum value of the function

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Q: A rectangular page is to contain 8 square inches of print. The margins at the top and bottom of the…

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Q: Find the maximum or minimum value of the function.

A: Given :           The function h(x) = 12x2 + 2x - 6.   To find the maximum and minimum value of…

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

A: Use a graphing utility to plot the function. Use the utility to determine the minimum point.

Q: Find the coordinates of the maximum point of the curve y = x^3 - 12x + 8.

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Q: (a) Express x -4x+7 in the form (x-p)´ +q where p and q are integers. Hence write down the…

A: given, x2-4x+7 we have to express given equation in the form of x-p2+q.and write down the…

Q: 2) A medicine company has a total profit function P(x) = 592X2 + 0592X + 20, where x is the number…

A: Given:         Px=-592x2+0592x+20   where x is the number of items produced. differentiating with…

Q: A company can produce a maximum of 25 widgets in a day. If they sell x widgets during the day then…

A: Above question is solved.

Q: Find the quadratic function y=ax2+bx+c whose graph passes through the given points.   ​(−1​,−7​),…

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Q: A firm produces a product that has the production cost function C(x)=120x+3210 and the revenue…

A: C(x)=120x+3210R(x)=150xFor break even, C(x)=R(x)

Q: company that produces and sells digital cameras has determined that the total weekly cost C of…

A: Given, C(x) = 1.5x2 – 150x + 4850  Where C is the total weekly cost of producing x digital cameras…

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

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

A: Profit P(x) =R(x) -C(x).

Q: A rectangular page is to contain 50 square inches of print. The margins at the top and bottom of the…

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Q: F(x)= 1/4x4-2/3x3-1/2x2+2x-1 What is the maximum value? What is the minimum value?

A: Here the given function is  F(x)= (1/4)x4-(2/3)x3-(1/2)x2+2x-1 To find maximum and minimum value…

Q: The functions f(x) = −(x + 4)2 + 2 and g(x) = (x − 2)2 − 2 have been rewritten using the…

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Q: A company manufactures a pager. The weekly fixed cost is $20,000 and the variable cost for producing…

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Q: A telephone company needs to lay cable from one of its owners to a small island that is offshore. It…

A: let number of miles cable lay on land = x      number of miles cable lay through water = y   cost…

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: Find the minimum y-value on the graph of y=6x2 - 24x+ 27. The minimum y-value is

A: The given function is y=6x2-24x+27. Differentiate the function with respect to x.…

Q: Find the minimum y-value on the graph of y = f(x). fx) = x +2x-1 The minimum y-value is y =

A: We have to find minimum y - value on the graph of y = f(x)  f(x) = x2 + 2x - 1

Q: x2 maximum point of y х — 2

A: Given the equation is y2=x2x-2. From this, one can write a function as fx,y=x2x-2-y2.

Q: x?+x-12 minimum point of y= X²-4

A: Given- y=x2+x-12x2-4 To Find- The minimum point of the above expression.

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

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Q: Given f(x) =x³ – 81x + 10, use rates of change to verify that there is an optimal value at x = -9.…

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Q: A management company is going to build a new apartment complex. They know that if the complex…

A: To find the number of apartments for which the cost is minimum and also find the minimum cost.

Q: c(x)= .4x2+17x-291+2200/x grapg and find minimum

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