The function f(x) = 2x° –33x2 + 108T + 1 has one local minimum and one local maximum. This function has a local minimum at r = with function value and a local maximum at = with function value

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

A:

Q: A function f(t)= 5x + 8x^-1 has one local minimum and one local maximum what is the function has a…

A: Given query is to find the local maximum and the minimum for the function f(x).

Q: For the function y = -2+5 sin (x-2), what is the maximum value?

A: Given,Function y =-2+5sinπ12(x-2)

Q: Find a solution of by fixed point method for f(x)=x^3+x-1=0 ?

A:

Q: The function f(x) = 7x + 2x¯1 has one local minimum and one local maximum. This function has a local…

A: Consider the given function. f(x)=7x+2x-1                                       (1) Find the…

Q: Determine the equation of the quartic function with the following characteristics x-intercepts at x…

A:

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

A:

Q: The function f(x) = 2x3 – 42x? + 240x + 1 has derivative f'(x) = 6x² – 84x + 240. f(x) has one local…

A:

Q: Find the formula for a function of the form y=be^((-(x-a)^2)/2) with its maximum at the point (0,5).…

A:

Q: Find the absolute minimum and the absolute maximum of the function on the interval [0,3]. f(x)=x^2…

A:

Q: Given f(x) - 2r - 3x - 36x + 5. a) Find all critical numbers of f(x). b) Spocify where the function…

A: Consider the given: a) Find the critical numbers: fx=2x3−3x2−36x+5Differentiate w.r.t.…

Q: Find the minimum value of f (x) = 7x² – 2x + 4 on the interval (0, 1].

A:

Q: x² 1. Why must the function f(x)=√/25 - x² + have an abso- 8 lute maximum and an absolute minimum on…

A: Given: f(x)=25-x2+x28 To find: 1. Why must the given function have an absolute maximum and an…

Q: The function f(x) = 3x + 2x has one local minimum and one local maximum. This function has a local…

A:

Q: 1. Find the maximum and the minimum values of the function f(x)= 2x – tanx %3D in the interval 3' 3

A: Given: f(x)=2x-tanx Differentiate the function with respect to x. f'(x)=ddx(2x-tanx)=2-sec2x…

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

A:

Q: points f(x) = - (2x^3/3) + x^2/2 + 45x + 1 and determine the nature of the stationary point in each…

A: Introduction: It denotes a change in function from concave down to concave up or vice versa. In…

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 minimum and maximum values of the function f(x) = 2x 3−15x 2+36x on the interval…

A:

Q: For the function f(x)= 6x-20arctan (x/3) find the absolute maximum and the abusolute minimum on the…

A:

Q: Find the maximum and minimum values of the ,2, function f(x, y) 2a2 + 4y? = x'y subject to 24…

A: We Know that In mathematical optimization, the method of Lagrange multipliers is a strategy for…

Q: Find the absolute maximum/minimum of function f(x) = 4x3 - x2 - 2x %3D for interval of [0, 1]

A: The absolute maximum of a function in interval a,b is the maximum function value over this interval.…

Q: Find all critical points of the function f(x)=5x5-2r and use the First Derivative Test to find local…

A: The given function is f(x)=5x45-2x

Q: The function f(x) = 7x + 8x -1 has one local minimum and one local maximum. %3D This function has a…

A: SOLUTION-

Q: 4. Find the maximum of the function f(x) = 100-(10 – x1)? – (5 – x2)? by Simplex Method. Take…

A: Given function is fx=100-10-x12-5-x22 Let the coordinates be x1,x2 And given initial coordinates are…

Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

A:

Q: The function f(x) = 6x + 9x¯1 has one local minimum and one local r This function has a local…

A:

Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e

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 minimum and absolute maximum of the function f(x) = (x2 − 1)3 defined on the…

A:

Q: The graph of f(x) = 2a² + 12z² – 72z + 14 has two horizontal tangents. One occurs at a negative…

A:

Q: Find the value of x at which the minimum of the function f(x) = x? Occurs.

A:

Q: The function f(x) = 4x + 4x ¯1 has one local minimum and one local maximum. This function has a…

A: From the given problem:   fx=4x+4x-1ory=4x+4x   Now differentiate the function:…

Q: The function f(x) = 9x + 5x-1 has one local minimum and one local maximum. This function has a local…

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function x² y² – 8x + y f(х, у)…

A:

Q: The function f (x) 2x3 – 39x + 216x + 2 has derivative f'(x) = 6x? 78x + 216. f(x) has one local…

A: Function will have a local minimum at a point where the value of the derivative of the function will…

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…

A:

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

A:

Q: f(x) = -x + 6x + 5 on [5, 8] %3D maximum minimum

A: Differentiate wrt x and put derivative to zero for maxima and minima  If value of x lies on given…

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: On the graph of f(x)=cosx and the interval [−2π,0), for what value of x does f(x) achieve a minimum?

A: We know,  -1≤cos x≤1 for any real value of x.

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

A:

Q: The function h(x) = x³ + 28x4 – 1311x³ has a critical point at x = 19. Use the second derivative…

A:

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

A:

Q: The degree of f(x) is v and the leading coefficient is There are distinct real zeros and relative…

A:

Q: y = x* – 4x +1

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…