A poster of area 6000 cm has blank margins of width 10 cm on the top and bottom and 6 cm on the sides. Find the dimensions that maximize the printed area. (The objective function and the domain have been given to you.) Let x > 0 denote the width of the poster, and let y > 0 denote the length of the poster. Note x > 12, y > 20 6000 6000 xy = 6000, y = " x > 20⇒ 6000 > 20x⇒300 > x A = (x - 12) (y – 20)with domain x € (12, 300) The area function is A(x) = (x − 12)(~ 6000 20) x

Q: What is the maximum point on the curve = 2 + 12? − x3

A: Maxima minima problem

Q: If you are rowing a boat upstream, given the following equation that models your speed:…

A: f(x)=3x2-6x-13 Now, for any real value of x, this function(parabola) is defined. Hence the domain of…

Q: The curve to the right is the graph of the equation y = -xV81-x. Find the total area of the shaded…

A: Given data:     The equation of the given curve is: y=-x(81-x2)1/2.   The expression for the area…

Q: What is the maximum number of times the graph of y = ax can intersect the graph of y= bx, if a 0 and…

A: Given information:There are two functions;To Find:The maximum number of times the graph of  can…

Q: Determine the axis of symmetry of the graph of the following parabola. f(x)=5^x2+190x+19

A: To determine the axis of symmetry of the graph of the following parabola.

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

A:

Q: For each lab, you must include an explanation of what you  did and how you did it. These must be…

A:

Q: Does the values of y have to be the same in axis of symmetry and vertex in functions when they are…

A:

Q: r(0) - f0) = (6x - 2; x> 03x - 2; xSO

A:

Q: Graph the following. Fine the vertix, Axis of symmetry, domain, range and x and y intercepts  a)…

A: Given:- f(x) = -3x2-2x+1 f(x) = (x-1)2+2 To find:- vertex , Axis of symmetry , Domain , range ,x and…

Q: A company sells at 500 pesos per item everything it produces of certain merchandise. If x items are…

A: Company sells per item at 500 pesos. and we have total cost of production and sales are given by…

Q: B. INSTRUCTION: Graph the following piece-wise function 1. r(x) = (x - 1, - Isıs, x< - 1

A: 1) f(x) = x -1      x-1 =0,      x=1

Q: Maanze; Z こ5x +y Subject to Lラトーメ 5x +3y 575 X20,4? 0

A: Maximize Z=5x+y Subject to, x-y≤75x+3y≤75x≥0, y≥0 The graph is,

Q: for the function of a c=3600+100x+2x^2 and total revenue function R=500x-2x^2, find number of units…

A: Given that,For a function,c=3600+100x+2x2and the total revenue functionR=500x-2x2The number of units…

Q: Jared needs to lay out 550 chairs for a function on an open space 15m x 20m. Each chair occupies…

A: The area to be left for each chair can be calculated by adding the area of distance between 2 chairs…

Q: Graph the following equation.explicitly state the equation of the asympttote, the x intercept, the y…

A: Given equations: y=-313-x+6 y=-12log2x+4-2