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

Q: The path of a diver is modeled by rx) %= 승x2 + 24x+ 11 where f(x) is the height (in feet) and x is…

A: We, know at maximum or minimum of a function f(x), the first derivative, f'(x)=0. At maximum,…

Q: The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the…

A: Given :- The back of Dante's property is a creek. Dante would like to enclose a rectangular area,…

Q: In "Break-Even Analysis", explain what is meant by the BREAK-EVEN POINT and then SHOW THE WORK…

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Q: Average Linh has obtained scores of 82, 75, and 71 on hermidterm algebra exams. If the final exam…

A: Since Avearge Linh has obtained scores of 82,75 and 71 on her midterm algebra exams. If the final…

Q: Given U = VXY; and Px=10 , Py-20, income=100; what is the value of MRSxy at the optimization point?…

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Q: The height of a ball thrown across a field, f(x), in feet, can be modeled by f(x) = -0.005x² + x +…

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

Q: Find the slope of f(x)=3x−2 at (4,10).

A: The slope of straight line is constant for every value of x. We observe that the given function…

Q: What is the minimum point of the curve y = x2 – 6x + 4  Please make the solution comprehensible.

A: This question is based on application of derivative.

Q: if y=x to the 3rd power - 3x. find the maximum value of y? -1

A: Given

Q: I hope to explain the question in steps Find the maximum and minimum values of f(x,y)=…

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Q: Suppose that f(æ, y) = e-3x² – 4y? + y Then the maximum is

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Q: h(z) = x² - 16z + 60? What is the minimum value of

A: First method: Given: hx=x2-16x+60 Add and subtract 64 from h(x) to complete the square. Therefore,…

Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

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Q: The profit from producing n quilts per year is given by the function P(n)=−15n^2+270n−840, where P…

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Q: Mr. Camu wants to enclose his vegetable garden at the back of his estate with a fence on 3 sides. He…

A: Since Mr. Camu has 30m of fencing. As he wants to enclose his vegetable garden with a fence on 3…

Q: Consider a parabolic arch whose shape may be represented by the graph of y = 9 - x2, where the base…

A: Pick a point P at the considered arc,  that is                         p = x , 9-x2…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given quadratic function R can be written in the form ax2+bx+c=0 This function has minimum value if…

Q: What is the maximum value of the function f(x, y) = 4 – x² – 2y? subject to the constraint 2 + y? =…

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Q: Find the maximum of Q= xy if x+ y = 50. The maximum value of Q is Q =

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Q: Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies…

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Q: 6. Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies…

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Q: Find the number in the interval , 2] such that the sum of the number and its reciprocal is a…

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Q: Find the area of a triangle bounded by the y axis, the line f(x)=4−(6/7x) and the line…

A: Formula Used: Area of triangle is :                                   Where,  b is base of triangle…

Q: Q1. The sum of three positive numbers is 30, find the three numbers if their product is minimum?

A: Topic- Number System

Q: The path of a diver is modeled by 24 *+ 13 f(x) = - where f(x) is the height (in feet) and x is the…

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Q: a rectanglar garden must be constructed so that the width is 150ft. what are the possible values for…

A: For a rectangle whose length is ‘l’ and width is ‘b’ the perimeter ‘p’ is given by the formula.

Q: What is the minimum of the function y = -a + 3x for a <-1? %3D -4 -2 04 O2

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Q: a rectangle is delimited by the x axis and the semicircle, y = v2 25 -X^2 how long and wide the…

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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: Find the coordinates of the maximum point. 4 In x +4 y=

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Q: A new design for a rectangular table place mat has been implemented by a company manufacturing…

A: Maximization of area

Q: Suppose that y = nx2 - 15x - 2 has a maximum at x = -3. Determine the value of n. %3D

A: If a function y=f(x) has a maximum at some value x=c, then the derivative of the function at x=c is…

Q: A rectangular poster is to contain 722 square inches of print. The margins at the top and bottom of…

A: Follow the procedure given below.

Q: Find the maximum value of 5x2 - 4xy+ 8y subject to x+y? = 1..

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Q: An open-top box is to be made from a 40 in. by 27 in. piece of cardboard by removing a square from…

A:

Q: the area of the largest rectangle that can be drawn with one side along the x-axis and the two…

A: Given curve is y=e-x2. Here the curve is symmetric about origin. Consider the vertices of rectangle…

Q: at the one-dimensional and n are constants.

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Q: What is the minimum of f (x) = (x + 3)2 − 4?

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Q: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

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Q: Find three positive numbers x, y, and z whose sum is 21 and product is a maximum.

A: There are two different questions in the image. According to our guidelines, we can solve only one…

Q: Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) = 2x²…

A: Given equation is   m(x)=2x2-7x+9 We have to find the absolute maximum and minimum of the given…

Q: what is the minimum value of y=–8+2cos4x?

A: Given, y = –8 + 2cos4x  We have to find the minimum value of  y = –8 + 2cos4x   When we have the…

Q: A rectangular poster is to contain 578 square inches of print. The margins at the top and bottom of…

A: Let the height of the poster = x inch  Let the breadth of the poster = y inch  Height of the print…

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given: y = 2x2 -8x +9 To find: The extreme values of the function over it's natural domain, and…

Q: 4) The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A: Maximum number of mosquitoes

Q: A rectangular poster is to contain 648 square inches of print. The margins at the top and bottom of…

A: Given: The area of the poster is 648 square inches. The following diagram shows all the…

Q: What is the minimum value of  g(x)=6x4-18x3-48 answer should be to 3 decimal places?

A: Derivative of the above function is,