Suppose that Ix - 41 < 1.(a) What is the maximum possible value of Ix+ 41?(b) Show that lx2 - 161 < 9.

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

A:

Q: Find the maximum value of 9x + 4 – x2 on the horizontal span of 0 to 9. (Enter the maximum value of…

A: We find f'(x) using the power rule Then we find the critical points by solving f'(x)=0

Q: 4. Identical bricks are used in the construction of a wall as seen in the figure. While the ones…

A: Given data:- Construction of wall shown in figure;

Q: The graph of f(x) = 4(x - 4)2 - 7 is a parabola that opens --Select--- v , with its vertex at (x, y)…

A:

Q: 22: A rectangle is to be constructed that has a height of x and a length of 30 – x2. Determine the…

A:

Q: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum…

A:

Q: What is the absolute minimum value of q(x)=2x2−1 over [−2,5]?

A: Take the derivative of the given function and equate to zero and solve for x.

Q: Find the positive integer that maximizes the sum of the numbers and its reciprocals?

A: First make equation and then differentiate

Q: What are the absolute maximum and minimum points of x^3-3x+1

A:

Q: Find the absolute maximum value of g(x) -2x2 + x – 1 over [–3,5].

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find global maximum and global minimum of æ3 – 9x? – 48x + 52 on the interval [-5, 12]

A:

Q: (-8, 5,0

A:

Q: 10. A wire of length 20m is cut into two parts, one of which is bent into a circle and the other…

A:

Q: A rectangle is bounded by the x- and y-axes and the graph of y = (5 - x) / 2 . What length and width…

A: Given, A rectangle is bounded by the x-axis and y-axis and the graph of y=5-x2

Q: Find the maximum of f(x) = -x4 - 2*x3 - 8*x2 -5*x in the range of [-2, 1]

A:

Q: Show that the interval [0,1) does not have a maximum element; that is, there is no largest number…

A:

Q: 4) A farmer has 2000 feet of fence and wants to build a rectangular enclosure along a straight wall.…

A: Given:-rectangular fence along a straight wallthere is no fence along the walltotal length of…

Q: 18 What is the maximum value of the function Ax) = x - 9

A:

Q: 11. Of all numbers whose sum is 50, find the two that have the maximum product.

A: Let x and y be the two numbers.then,x+y = 50 y = 50-x            ..........(1)Let P be their product…

Q: Use the algorithm for finding extreme values to determine the ABSOLUTE MAXIMUM and ABSOLUTE MINIMUM…

A:

Q: A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm by cutting out squares…

A: Volume of the cuboid , V= (length)(Breadth)(height)

Q: Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is…

A:

Q: : Let y = x3-3x + 2, find the absolute maximum and minimum on the closed interval [-3,3] and sketch…

A: Given  y = x3-3x+2 We have to find the absolute maximum and minimum on the closed interval [-3, 3].

Q: Use a graphing utility to approximate (rounded to two decimalplaces) the local maximum value and…

A: Given: fx=x3-2x2-4x+5; -3&lt;x&lt;3 For finding values of local maxima and local minima, we draw…

Q: Use technology to find a local maximum and2 local minima of the graph of the functiony = x4 - 4x3 +…

A:

Q: (2) (a) For which PDE that we've studied is the Maximum Principle true? Describe the Maximum…

A:

Q: A farmer wants to fence a rectangular piece of landand divide that into three rectangles. He has 480…

A: Given: A farmer wants to fence a rectangular piece of land and divide that into three rectangles. He…

Q: Determine the absolute maximum of f(x) = 2x3 - 5x2 - 16x + 6 on the interval [-2,3]

A:

Q: What is the minimum value of 3x 4x +1 and for what value of x does it occur?

A: We have to find the minimum value of 3x2-4x+1 and for what value of x does it occur.

Q: . What does it mean to say that f142 is a local maximum valueof f

A: Given :            f(4) is a local maximum value of f.

Q: Xingqiu has 420 feet of fencing material and uses it to start a kernel by building 5 identical…

A:

Q: 6. A square sheet of cardboard of side 12 in. square is used to make an open box by cutting out…

A:

Q: A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If…

A: Rectangular area is to fenced from three sides and by wall to one side.

Q: What is the maximum value of y = -3.4sin(x- 60˚)?

A: we will use derivative.

Q: Let g(X)=x3-12x+7. The maximum value of (g) over the closed interval (-4,5) occurs at what X value?

A: we have to find the maximum value of the function g(x)=x3-12x+7 on the interval [-4,5]  For that, we…

Q: How do I find the local Maximum of this graph?    All values that have g as a local maximum? Would…

A:

Q: 6. Determine the x-value of the absolute minimum of f(x) = -2x4 + 4x³ - 1 on the closed interval…

A: Given:       fx=-2x4+4x3-1     f'x=ddx-2x4+4x3-1    f'x=-8x3+12x2

Q: A rectangular box without a lid is to be made from 272 of cardboard find the maximum value of such a…

A: Given that a rectangular box without a lid is to be made from 27 m2. We have to find the maximum…

Q: A farmer is is building a fence to enclose a rectangular area against an existing wall, shown in the…

A:

Q: Use the algorithm for finding extreme values to determine the ABSOLUTE MAXIMU OLUTE MINIMUM values…

A:

Q: f(x) = 4x - 1.8x2+1.2x3-0.3x4 Find the maximum using Golden-Section search (Xlower = -2, Xupper= 4…

A: Given: fx=4x-1.8x2+1.2x3-0.3x4 To find: Solution

Q: (4,28) is a maximum or a minimum point of the function g(x) = -x³ + 6x2 – 4. Verify whether the…

A:

Q: Find the absolute maximum and absolute mimimum values of 1296 f(x) = + 36x – 483 on the closed…

A:

Q: 1. Find two non-negative numbers whose sum is 12 such that their product is an absolute maximum.

A: Let x and y are two non-negative numbers. We have to find maximum of the function Fx,y=xy It is…

Q: 3x2 If (x) = x² + 1

A:

Q: (4,28) is a maximum or a minimum point of the function g(x) = -x3 + 6x? – 4. Verify whether the…

A:

Q: Find the minimum value of the expression given below on the horizontal span of 0 to 6.  2x − x2 + 2

A:

Q: 11. Determine three positive numbers whose sum is 21, so that your product is the maximum possible…

A:

Q: By cutting away identical squares from each corner of a rectanglar price of cardboard  and folding…

A: let x side square cut from the end of rectangular cardboard

Q: A rectangle has one side on the xx-axis and two vertices on the curve y=2/(4+x^2) Find the vertices…

A: Given information:A rectangle has one side on the x-axis and two vertices on the curvey=2/(4+x^2)