Determine the critical value(s) of y = -8x^2+ 12x + 3 and state if it is relative minimum or relative maximum.

Q: Compute the abscissa of the minimum point of the curve  y = x3 - 12x -9.

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Q: Sketch the graph of a continuous function on (0, 4) with aminimum value but no maximum value.

A: Given: The interval of a continuous function is (0,4)

Q: Where does a local minimum occur?

A: given,      Local minimum .

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Q: Determine the critical numbers of the given function and classify each critical point as a relative…

A: Given that gx=4-2x+9x2Solution :if we have to find critical point then first derivative equal to…

Q: Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Suppose numbers are x and y then  xy=100    ....(1)

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Q: don't know how to c and what is the minimum/maximum velocity

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Q: Find the critical points of the function and examine these points (local maximum, local minimum or…

A: Here, it is given that f(x,y)=-x3+2y3+27x-24y+3

Q: When critical point of the autonomous system is said to be unstable ?

A: Critical points are the points where the function is defined and its derivative is either zero or…

Q: For a function of two variables, describe (a) relative minimum, (b) relative maximum, (c) critical…

A: a) Let f be a function with two variables with continuous second order partial derivatives f xx , f…

Q: Determine the type and stability of the critical point. Then find a real general solution and sketch…

A: In this question, we find the type of stability of the critical point by using eigenvalue and phase…

Q: 4) Determine the critical points of the functions below and classify them as relative maximum,…

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Q: Explain the difference between an absolute minimum and alocal minimum.

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Q: Find the minimum and maximum values of the function y = 2613 + 39t² on [1,2] by comparing values at…

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Q: Sketch the graph of a function on [-1, 2] that has anabsolute maximum but no absolute minimum.

A: According to the given information, it is required to sketch the graph of the function on [-1,2]…

Q: 1. y=(x)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers are x and y.   It is known that to minimize a function we have to equate the first…

Q: What are the local minimums, local maximums, global minimums, and global maximums?

A: Local maximum are the points where derivative be zero and left side increases and right side…

Q: 8x 25. q(x) = x² + 1

A: by using definitaion of derivative

Q: 3. Find all critical point s and identiFy them as local maximum points , local minimum points, or…

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Q: If the function tends to infinity at the endpoints of the interval, then the function must take on a…

A: A continuous function defined on open interval with range equal to a closed interval. Consider a…

Q: If 2x +y= 10, find the minimum value of x+ y2

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Q: Find the critical points of the given function and classify each as a relative maximum, minimum, or…

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Q: 4=-Y36x-4)'+2 (4,2). Equation #15 maximum or minimum

A: Given function is,

Q: Find all the critical points and the absolute extrema(absolute maximum

A: Given function is fx,y=2y-2xy+x2 The region is y=4-x2y=0 Now, for critical points…

Q: Locate the critical point and determine the maximum or minimum points: a²y = x*

A: Using 2nd derivative test,

Q: Is there an informal way to think about relative maximum and relative minimum?

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Q: Find two positive numbers with product 256 and whose sum is a minimum

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Q: Find two positive number whose sum is 15 so that the sum of their square is minimum.

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Q: 4. y 3 x+y<6 Ax, y) = x+ 2y Maximum: Minimum:

A: NOTE: Refresh your page if you can't see any equations. .  is the horizontal line passing through…

Q: he relative minimum value is f II

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Q: Determine the critical value(s) of y = -8x2+ 12x + 3 and state if it is relative minimum or relative…

A: For critical point. Put dy/dx =0. Put the value of critical point in given equation to find critical…

Q: find the minimum value of

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Q: SHOW DETAILED SOLUTION OF EACH PROPERTY (CRITICAL POINTS, MAXIMUM & MINIMUM, INFLECTION AND…

A: The equation of the curve is y2=x2-4x-12x2-2x-3. Firstly, factorize both numerator and denominator.…

Q: Give the coordinates of any critical points and classify each point as a relative maximum, a…

A: The equation given to us is  g(x)=x2lnx

Q: 1) Explain the differences between an absolute minimum and a local minimum.

A: An absolute minimum occurs at the x value where the function is the smallest, while a local minimum…

Q: Determine the minimum value of the function y=x√x.

A: We apply ln on both sides and then find dy/dx

Q: Explain the difference between absolute minimum relative minimum value, and an

A: It is given that Absolute minimum and relative minimum

Q: 5. Find the critical point and determine whether local maximum or minimum: y = e" + e-2aæ

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Q: Determine the critical points of the functions belaw and find out whether each point coresponds to a…

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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: Find the maximum and minimum volumes of a rectangular box whose surface area equals 8000 square cm…

A: Let the three sides or edges of the rectangular box be a,b and c in cm. Surface area of the box will…

Q: Find all the critical points of z = minimum or saddle point. 4 X 2 y xy. Identify each point as a…

A: Let us considre the function z=f(x,y) Determine first order partial derivative and put it equal to…

Q: Determine where y = x4 - 8x2 has a local maximum or a local minimum.

A: we havefx=x4−8x2

Q: 2. Find two numbers whose difference is 100 and whose product is a minimum.

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Q: Find two positive numbers with product 256 and whose sum is a minimum.

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