How do you determine the maximum value of f(x)= -3x^2+24x-3

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Q: A farmer wants to build a rectangular fence around a plot of land. However, 1.5 sides of the plot of…

A: The side of fencing parallel to the river is w. The fencing needed is 1000 ft. Let l be the length…

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Q: Victaria Lop. 2. f(x) = x – 3x – 10 2 Зх - -

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Q: хах 1-f- '1+3x2

A: Integration is the process of finding the anti derivative of a function. There are basically two…

Q: Find two real numbers whose difference is 40 and whose product is a minimum.

A: Let the two real numbers be x & y. Since the difference is 40, therefore x-y=40⇒y=x-40   →1 Now…

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

A: First make equation and then differentiate

Q: Find two positive numbers whose product is 36 and whose sum is a minimum. You must use optimization.

A: Given data is: The product of two positive numbers is 36. To find the two positive numbers whose sum…

Q: The graph of a square root function has a domain of (0, ∞) and range of [1, 0). In two or more…

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Q: Solve using optimization 2. Find a pair of non-negative number that have a product of 162 and…

A: Solved below

Q: A farmer has 480 meters of fencing with which to build two animal pens with a common side as shown…

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Q: how to find break even point of the profit function p(x)=-55-6x+0.2x2

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Q: The profit for a product can be described by the function P(x)=202x-5500-x^2 dollars, where x is the…

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Q: A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be…

A: Consider x as the width of the rectangular field. Given that, 1000 yards of fencing materiel has…

Q: The path of a baseball after being hit is modeled by f(x) = −0.0032x2 + x + 3, where f(x) is the…

A: We have, the path of a baseball after being hit is modelled by the function given as…

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: An algebraic expression in two or more variables describing a quantity that must be maximized or…

A: An algebraic expression in two or more variables describing a quantity that must…

Q: 5. How will you know if a function increases and decreases and how will you locate the maximum and…

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Q: Solve f(-2) for f(x) = -5x-4 %3D f(-2) = [?]

A: Given f(x)=-5x-4 To find f(-2) Substitute -2 for x

Q: A rectangle measuring 15 inches by 42 inches is to be made into a box with an open top by cutting…

A: applying second derivative test to find maximum volume

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find out the number of apple trees and number of peach trees that will maximize the revenue.

Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: 5 Find the domain of y = Vlx + 5| – |x – 3| + - - Vx2-9

A: Given function :

Q: Solve for the maximum and minimum values for ∫(x^3−2)/3dx. (Upper limit is 1 and lower limit is -2

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Q: Kindly show detailed solution. x2 Maximum point of y2 х-2

A: Given a function : y2=x2x-2 We need to find the maximum point. Let's begin.

Q: Find two numbers with difference 130 and whose product is a minimum.

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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: Can a quadratic function have a range of (- ∞, ∞)? Justify your answer (Please dumb it down)

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

A: we will use derivative.

Q: An open box of maximum volume is to be made from a square piece of material, 24 inches on a side, by…

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Q: 2 The maximum value of (-3 + 4x – x + 4)2 + (x – 5)2

A: Introduction :

Q: What are the minimum and maximum values of the function Ax) = x3 on the interval [-3, 2]? a minimum:…

A: Check by first derivative in the given interval and than find minimum and maximum values.

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to…

A: Suppose A be the area of the rectangular rain gutter  A=length × width=20-2x x…

Q: Explain why the function f(x) = x³ – 3x2 +1 must have an absolute maximum and absolute minimum value…

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Q: How can I solve the domain of this function?

A: Clearly we can see that the given function is a polynomial of order 2. And we know that polynomial…

Q: What is the range of the function f(x) = 2x + 4 when the domain is {-2, 0, 3}

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Q: A rectangle with horizontal and vertical sides has one vertex at the origin, one on the positive x-…

A: consider an arbitrary point on line  2x+y=100 is   x , 100-2x which is the one of the vertex of the…

Q: A farmer wants to build a rectangular fence around a plot of land. However, 1.5 sides of the plot of…

A: The farmer has total of 2000ft. fencing. 1.5 sides of the plot of land border a river. w is the side…

Q: 10 10 -5 10

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Q: A 40-room hotel is fully occupied if $3000 is charged per day per room. For every x hundred-dollar…

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Q: What is the maximum area he can enclose?

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Q: maximum

A: if you specifically asking to how to find maximum and minimum value. Please refer to the image below…

Q: Use thế # 1) f(x) = 8x3 - 24x2 + 18x + 6 # 2

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Q: Optimize the function 81x2+y2 subject to 4x2+y2=9

A: here we Optimize the function 81x2+y2 subject to 4x2+y2=9  F(x,y)= 81x2+y2  g(x,y) = 4x2+y2=9

Q: Describe the end behavior of f(x) = -2x3

A: Given polynomial, fx=-2x3

Q: The total profit (in tens of dollars) from the sale of x hundred boxes of candy is given by P ( x )…

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Q: x and y are non-negative numbers. The sum of x and three times y equals 48. What is the maximum…

A: we have to find the maximum possible products of x and y

Q: Find f(-3) whenf (x) = 2x2 +2

A: Solution of the problem as follows

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find the number of apple trees and number of peach trees which will maximize the revenue.

Q: What is the maximum profit that can be reached?

A: A linear demand curve is a graph that depicts the relationship between demand and pricing for a…