The function f(x) = – 2x + 3.33x2 +46.716x + 6.22 is increasing on the open interval ( It is decreasing on the open interval (-oo, ) and the open interval ( ). The function has a local maximum at

Q: Find the absolute maximum value of the function y=xV3x-x² on the interval [0, 3].

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Q: Find the absolute maximum value of f(x) = x² – 2x + 8 over the interval [0,5|

A: The objective of the question is determine the absolute maximum value of the given function.

Q: Find the absolute maximum and minimum values of the function f(x)-cos²x-3sinx on the interval 0≤x≤7.

A: First I have find the derivative of the given function and set them to zero .Solved them to get the…

Q: 3. A theatre has determined that its profit function is given by P(x)=x² +9x-11, where x is the…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the value of x at which the absolute maximum occurs (if it exists) for the function f(x) = -x2…

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Q: Find the absulote maximum of x40-x20 on the interval [0,1],also find its absolute maximum value

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Q: Let f be a continuous function with f'(x) = 3x² Of has no relative maxima. 0x=0 0x=2 0x=1 - 6x. At…

A: f be a continuous function with f'x=3x2-6x

Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 4]

A: Use critical value and end points for absolute maxima and absolute minima.

Q: Determine whether the function f(x)= 2x³-3x²-36x+49 is increasing or decreasing at x=5 and x=3. Also…

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Q: Find the absolute maximum and absolute minimum of - x2. f(x) = + x² – 15x over the interval [1, 5].…

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Q: Find the absolute maximum value of the function f(x) = -x² – 4x – 2 on the interval [-3, 3 ]. %3D

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Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x-2x²

A: We can use application of derivative order to solve the given problem.

Q: The area bounded by the curves f(x) 19x + 9 and g(x) = 19x² +9 is 3.17 square units 0.95 square…

A: Known fact: The area bounded by two curves fx  and  gx from x=a  to  x=b is given by A=∫abfx-gxdx.…

Q: Find the absolute maximum and absolute minimum of f(x) [5, 9]. * + x2 – 63x over the interval 3

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Q: For the function f(x) = 2x4 - 16x2 , find and identify any extrema (maximum/minimum) using the…

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Q: How do you determine where the absolute extrema of f(x)= (4x)/((x^2)+1) on the interval [-4,0]…

A: First we find the critical points of f in the interval [-4,0]. The critical point are found at…

Q: 3. What is the maximum value of the function f(x) = 2x- 2x + 6 in the interval %3D [0, 2]?

A: Introduction :

Q: What is the absolute minimum value of g(x)=−2x^2−2x−1 over [−3,4]?

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Q: Find the absolute maximum and absolute minimum of the function on the given interval. f(x) = x – In…

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Consider the function, y=x-4ln3x-9 Differentiate the given function with respect to “x” then,…

Q: Find the absolute maximum and minimum assuming the function is f(x) = 2x^4 - 8x + 3 on interval…

A: f(x)=2x4-8x+3

Q: Find the absolute maximum and minimum values of f(x) = x – 2x on the closed interval [0, 2]. -

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Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x²

A: Points of local extremum can be calculated by using the first derivative. These are points which…

Q: 6. Find the absolute extrema of the function f (x) = 7x² + 1 on the closed interval [-1,2].

A: We need to check value of f(x) on critical points and boundary values of interval to find absolute…

Q: 15. For this function find the coordinates of points on the graph that are local maximums or…

A: Local maxima and minima

Q: 2. Use the second derivative test to determine the local minimum and maximum points of the graph of…

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval (0, 4]|

A: The absolute vale in the interval [0,4] for f(x) will be either at critical points or at end points.

Q: Find the absolute minimum value of f(x) = 9x² - 5 x + 14 on the interval [0, ∞). Note: You need to…

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Q: Find the absolute maximum for the function over the specified domain. y = a² +1 over [ – 1, 4]…

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Q: Find the absolute maximum values of f(x) = 2x^3 +  3x^2 + 4 on the interval [-2,1].

A: Given: f(x) = 2x3 +  3x2 + 4

Q: Find the absolute maximum and absolute minimum values of f(x) = 8+ 81x – 3x³ on the interval [0, 4].

A: Given function is  f(x) = 8 + 81x - 3x^3

Q: Find the absolute maximum and minimum of f(x)=3x^3-x+1 on the interval [0,1]

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = −x3 + 3x + 7 on the…

A: We find critical points by setting f'(x)=0 x=1 is not in the interval [-2,0]

Q: The absolute maximum and absolute minimum for the function f(x) = x² – 16x [0, 9] a on the interval…

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Q: 1) Find the absolute maximum and absolute minimum for f(x) = x* – 18x² – 2 on the closed interval…

A: To find absolute maxima and absolute minima for fx=x4-18x2-2;     x∈-2,4

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function…

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 5]

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Q: The function f(x) = 2x³ − 33x² + 60x + 8 has derivative f'(x) = 6x² f(x) has one local minimum and…

A: Explanation of the answer is as follows

Q: Find the absolute maximum value of f(x) = x2 – 2x + 18 over the interval [0, 5]

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Q: The function f() = 2x - 33x2 + 168x +11 has derivative f'(x) = 6x – 66x + 168. f(x) has one local…

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Q: What is the absolute maximum and absolute minimum of the function f(x) = x3 – 3x2 – 9x – 6 in [0,5]?

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Q: Find the absolute maximum and minimum values of f(x)= 1/4x^4 -x^3 on the closed interval [ -1, 4].

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Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a local maximum at x = -1 and a local minimum…

A: Given: fx=x3+ax2+bx To find a, b such that function has local maxima at x = -1 and local minima x =…

Q: Find the absolute maximum value of f(x)=(x)(x-1)(x+1) on the interval [-1,1].

A: Definition used -   Absolute maximum value of function - First we equate the first derivative of…

Q: Find the maximum and minimum values of the function y=4x^(3)−4x+6 on the interval [0,2]. (Use…

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Q: Find the absolute maximum and minimum values of f(x) = 2x³ – 36x2 + 120x -8 on the interval [0, 12]…

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Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: Find the absolute maximum and absolute minimum of f(x) =2x – 3x² – 36x + 2 on the interval [0,5]

A: Before finding absolute maximum and absolute minimum of any function over the given interval we need…

Q: Find the absolute maximum value of f(x) = x2 - 2x + 6 over the interval 0, 4

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