The function f(x) = – 6x - 3.96x2 + 429.5466 – 7.1 is increasing on the open interval ( It is decreasing on the open interval (-o, and the open interval ( 0 ). The function has a local maximum at

Q: Find the intervals in which the function f(x)=3x -18x² +7 is increasing/decreasing. Also find the…

A: For function f(x) you can find the intervals in which f(x) increases by solving f'(x) > 0. For…

Q: 5. Find the absolute extrema of f(x) = x’ + 3x – 9x + 4 on the closed interval [-4, 0].

A: The given function fx=x3+3x2-9x+4

Q: Find the absolute maximum and absolute minimum of the function f(2) = x2 – 8z +7 over [1, 8].

A: Solution

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: Find the absolute maximum/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

A:

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: 3. Find the absolute maximum and absolute minimum values of f(x) = 2x´ - 4ln(x) on the | interval […

A:

Q: The function f(x) = 2x°- 36x+210x + 4 has one local minimum and one local maximum. Use a graph of…

A:

Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

A:

Q: 1. Find the absolute maximum value of the function f(x)=x³ – x² – - x on the interval -1<x<10.

A:

Q: 6. Find the absolute minimum and maximum of the function f(x) = x° – 12x +5 on the interval [0, 3].

A:

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

A:

Q: Find the absolute extrema of f (x) = 2x – 3x² – 12x +1 on the interval [-3,3].

A: fx=2x3-3x2-12x+1 Differentiating with respect to x, we get f'x=23x2-32x-121+0=6x2-6x-12 Now to find…

Q: Find the absolute maximum value of f(x) = x2 – 2x + 10 over the interval 0, 3 -

A: Find your answer below

Q: 8. Find the absolute extrema of f(x) = 6x + 4 + on the closed interval [1, 6].

A: Given : The function is f(x) = 6x + 4 +24x and the closed interval [ 1, 6 ].

Q: 2. Find the absolute minimum and maximum of the function f (x) = – 2.22 on the interval [-2, 1).

A: We have to solve

Q: Find the absolute maximum value of g(x)=−2x^2+x−1 over [−3,5].

A:

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

A:

Q: Vhat is the largest output value of the function z = 2x + 2y that can be obtained by plugging in…

A: In this question, the value of the function is checked at the corner point. The maximum value of the…

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

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

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

A: Solution:Given        f(x)=xe-3xTo find:(a)Critical Point(b)the open interval where the function is…

Q: Find the absolute minimum of the function f(x) = x²³ - 3x² on the interval - 1 ≤ x ≤ 3. -4 3

A:

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: Find the absolute maximum and absolute minimum of f(x) =2x3-3x2-36x+2 on the interval [0,5]

A:

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 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 of the function f(r) = 4x + 3 over 1, 4.

A:

Q: The function f(x) = 2x° – 36x2 + 162x – 11 has two critical numbers. The smaller one equals and The…

A:

Q: function

A: Second Derivative Test for Local Extrema:- The second derivative may be used to determine local…

Q: Find the absolute maximum value of f(x)=3x^4−4x^3−12x^2+1 on the interval [−2,3]

A:

Q: Find the x-coordinate of the absolute maximum of the function f (x) = x³ – x² – x +1 on the interval…

A: Given

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

A:

Q: Find the absolute maximum and minimum of

A:

Q: The function f(r) = 4x' + 6x² – 672z +3 is decreasing on the interval ( It is increasing on the…

A: Let's find.

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

A: At maxima or minima of a function f(x), f'(x)=0

Q: Find the minimum and maximum values of f (x) = x² – 8x + 10 on the interval [0, 7). Sketch the graph…

A: f(x) = x2 -8x+10

Q: Find the absolute maximum and absolute minimum of the function f(x)=x^3-18x^2+96x+150 on the…

A: The function is given by fx = x3-18x2+96x+150 To evaluate: The absolute maximum and minimum of the…

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

A:

Q: Find the absolute maximum and absolute minimum of the function f(x) = 1² - 4x +3 over (1, 4).

A:

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

A:

Q: The function f(x) = 2x³ 24.x2 + 42x + 6 has derivative f'(æ) = 6x² – 48x + 42 - f(x) has one local…

A:

Q: Find the absolute maximum and the absolute minimum of f(x) = x^3 − 3x^2 on the interval [−1, 3].

A:

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

A: