Least distance What point on the plane x + y + 4z = 8 is closest to the origin? Give an argument showing you have found an absolute minimum of the distance function.

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A: Xmin = 2420/29, For detail go through the solution...I have done in detail step by step

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

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A: Let x be the length of the box and h be the height of the box.

Q: True or False? A. At point B, f'' is either 0 or undefined B. Point D is an inflection point C.…

A: At point B f is concave up  So f'' is positive

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Q: A rectangular box with a square base is to have a volume of 20 cubic feet. The material for the base…

A: The rectangular box with a square base has the volume of 20 cubic feet. The material for base costs…

Q: total area of triangle and circle whic is obtained the maximum

A: Length of wire = 100 cm Diameter of circle = d cm

Q: I need help with question 43 parts a-c in Section 4.5, page 302, of the James Stewart Calculus…

A: Please note that square root is defined only for positive numbers. Hence, domain of f(x) is given by…

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A: As we know that : If f'x>0 or slope positive then graph will be increases. If f'x<0 or slope…

Q: xplain how you know from a quadratic function if it has a minimum ot a maximum. Consider the vertec…

A: Given function fx=ax-h2+k Solution :if a>0 then upward parabola  , minimum value =k , maximum…

Q: A line of best fit does what ? Curves through all of the points Goes through the middle area of the…

A: A line of best fit does what?

Q: 5. g(x) = xe2x , [-1,1] %3D

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Q: The figures show a rectangle, a circle, and a semicircle inscribed in a triangle bounded by the…

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Q: Find the absolute maximum and minimum of the function f(x,y) = 2x - 4x +y-4y +3 on the closed…

A: We have to find the absolute maximum and absolute minimum of the given function.

Q: Maximum printable area A rectangular page in a text (withwidth x and length y) has an area of 98…

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Q: Lagrange method The function is 2x^2+y^2+7 and has a constraint of x^2+y^2=2y. Find the absolute…

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Q: What is the local minimum value of the function f(x) = x^3(x + 4)

A: As per the company policy i can answer only first question for you, more than one answer lead me…

Q: Find the absolute maximum and absolute minimum on the given interval. X f(x) = ;\ = [-2,2] =l-2,2) 2…

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Q: Find the absolute maximum and absolute minimum on the given interval. f(x) = ;\=[-2,2] %3D x* +1 The…

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Q: Locate absolute extrema Question Find the absolute maximum of h(x) = x2 - x - 2 over [-3, 6]. %3D…

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Q: 4 Find the absolute extrema of the function f(x) = -x* + 50x – 625 on the interval [- 6,6]. The…

A: From the given function:   fx=-x4+50x2-625   Now differentiate the given function and equate it to…

Q: Locate local and absolute extrema from a graph Question 10 -10 -4 -2 10 9- 10 Identify the…

A: The absolute minimum value for the above graph(=-6) is seen to be at the point shown in red.

Q: Find the absolute Minimum value of y = 100 + 1800 on the closed interval [50 , 100]. Note : The…

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Q: A rectangle has one side on the r-axis and two vertices on the curve 8 y = 2+ x2 ° Find the vertices…

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Q: Find the absolute maximum of the function (x,y)= 2. Find the absolute maximum (x,y)=

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Q: Can you please find the x and y intercepts, maximum and minimum, vertical and horizontal and show…

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Q: xima-Minima ProE ball is thrown in th eight at any time is = 3 + 14t - 5t2 "hat is its maximur iven…

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Q: or values of x which the given the function y=x+1, has a 4.) Find the value maximum or a minimum…

A: You need to find out the critical points then solve for maxima & minima. The explanation part is…

Q: Find the absolute maximum and absolute minimum values of the function f(x) = 5x – 7x - 5 n the…

A: First derivative test: If x=c is a critical point of f(x) then, (i) If f'x>0 to the left of x=c…

Q: MY NOTES ASK YOUR TEACHER Consider the equation below. (If an answer does not exist, enter DNE.)…

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Q: Find the absolute maximum and minimum of the function f(x,y) = 2x - 4x +y - 8y + 1 on the closed…

A: Given function is,   fx,y=2x2-4x+y2-8y+1 And x=0, y=4 ,y=4x in first quadrant.

Q: Locate absolute extrema Question Identify the absolute minimum value of f(x) = 2x2 + x + 1 over [-2,…

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Q: Find the absolute maximum and absolute minimum on the given interval. 9x f(x) = ;I=[-4,4] 2 x* +9…

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Q: 5. Find the extrema (absolute maximum / absolute minimum) of the function f(x) = x³ – |x² + 5x + 6|…

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Q: Locating absolute maximum and minimum values For the functionsas shown, identify the location of the…

A: (a) Consider the given graph. Mark the end points and the extreme points. From the graph, the…

Q: (3): Graph the function f(x, y) = 3y-4x2-y– 10xy using various domains and viewp oints. Get a…

A: According to our policy at Bartleby, I can solve only 3 parts. Given a function of 2 variables - x…

Q: Using a graphing utility, graph y = 5 on the interval ( - 3, 3). Use MAXIMUM to find the local…

A: Consider the given function  y=5 Now, draw the graph of y=5

Q: Parabola 1) f0) = -x² + &x – 12 Opens up or Down a b Axis of Symmetry Y- value of Vertex Vertex Max/…

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Q: Extreme values of parabolas Consider the functionf(x) = ax 2 + bx + c, with a ≠ 0. Explain…

A: Consider the function fx=ax2+bx+c,   a≠0. Clearly, the graph of fx=ax2+bx+c,   a≠0 is a parabola…

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

A: The given function is fx=x3-27xThe interval is 0, 6

Q: solve this. Find the absolute extrema of f on the given interval. (find the absolute maximum value…

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Q: Maximum Area A rectangle is bounded by the x-axis and the semicircle y = √25 − x2 (see figure). What…

A: The given equation is y=25-x2. We know the area of the rectangle is A=length×width. From the given…

Q: Absolute Extrema. Find the absolute maximum and absolute minimum points (x, y) of the function y =…

A: Find the absolute maximum and minimum points of the function  y= 2x3-27x2+84x+9  , [1,6]

Q: The product is 238 and the sum is a minimum.

A: Definition used-   Optimization using derivative -    We can maximize or minimize the given…

Q: A max-min problem with a variable answer Sometimes the solution of a max-min problem depends on the…

A: The radius of the right circular cone is R and the height of the right circular cone is H. The cross…

Q: Find any relative maxima and minima. Use a graphing utility to check your results. (If an answer…

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Q: Extrema on a circle Find the extreme values of f(x, y) = xy subject to the constraint g(x, y) = x² +…

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Q: The interval X and function y are defined by X = [3,10], y = In(2x2 – 16) – x

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