Find the absolute maximum and absolute minimum values of f(x) = r3 – 9x2 + 24x – 3 on [2,5]. -

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

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Q: Find the values of constants a, b, and c so that the graph ofy = ax3 + bx2 + cx has a local maximum…

A: Given that: y = ax3 + bx2 + cx has a local maximum at x = 3, local minimum at x = -1, and inflection…

Q: What is the relative minimum value of the function f(x, y) = x³ – 3xy + y³ – 2?

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Q: Find any relative maximum or minimum points of the given function. y = 2 + 8x - x2 O Maximum at (4,…

A: We can find the answer as below.

Q: Find the absolute maximum and absolute minimum of the function f(x)= x² – 4x + 3 over [1, 4].

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

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Q: The function f (x, y) = 2x + 3y + 9 - x2 - xy - y2 has a maximum at some point (x, y). Find the…

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Q: Find the absolute minimum value of the function f(x)=2ex^2-2x+1 on the domain [-1,2].

A: Given function is : fx=2 ex2-2x+1 To find the absolute minimum value of the function in the domain…

Q: consider the function f(x)= xe-4x,t) , 0≤x≤2. and an absolute maximum value equal to:  which is…

A: Given: fx=xe-4x, 0≤x≤2

Q: Find the global maximum and global minimum of f(x)=x22x in the interval [−1,3].

A: We first find the critical points by solving f'(x)=0

Q: Determine the values of constants a and b so that f(x) = ax^2 + bx has an absolute maximum at the…

A: Given that  f(x) = ax2 + bx has an absolute maximum at the point (1,2).

Q: Find the absolute maximum and absolute minimum of the function f(z) = z² – 6z + 5 over (1,

A: Given: fx=x2-6x+5, 1,6

Q: For the function y=x, is x-0 both an inflection point and a local maximum /minimum

A: We need to find first and second derivative for this Question to know about local maximum/minimum…

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

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Q: Find the absolute maximum and minimum values of ƒ(x) = x2 on[-2, 1].

A: Given,  fx=x2 on −2,1

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

A:

Q: Find the absolute maximum and absolute minimum values of the function  f(x)=x+4x on the interval…

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Q: Show that the function f(x) = e^-x^2/2 has a relative maximum at x = 0.

A: Given function is: fx=e-x22 Differentiating f(x) with respect to x we get, f'x=e-x22×-2x2f'x=-xe-x22…

Q: Determine the values of constants a, b, c, and d so that ƒ(x) = ax3 + bx2 + cx + d has a local…

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Q: 2. Find the absolute maximum and minimum values of f(x)= x³ – 3x +1 over the interval [0, 3].

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

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Q: Find the absolute maximum value of f(r)= x-2x+ 16 over the interval 0, 5

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

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

A:

Q: . Determine the values of constants a and b so that f(x) = ax² + bx has an absolute maximum at the…

A:

Q: Find the absolute minimum value of the function   g(x)  = ex/x, x>0

A: The function is gx=exx for x > 0.   Differentiate the function with respect to x.…

Q: 5x f(x) = on the interval[-3,1]. %3| x²+36

A: Given,           fx=5xx2+36 on the interval -3,1

Q: Determine the values of constants a and b so that ƒ(x) = ax2 + bx has an absolute maximum at the…

A: Given:

Q: Find the absolute minimum and absolute maximum for y = x3 – -+ 4x +1 on [-2,2].

A:

Q: The absolute maximum and absolute minimum for the function f(x) = r2 -8x on the interval 0,5 are

A:

Q: Find a cubic function f(x) = ax + bx2 + cx + d that has a local maximum value of 4 at x = -3 and a…

A: Here we have to find the cubic function that has a local maximum value of 4 at x= -3 and a local…

Q: Find the values of constants a, b, and c so that the graph of y = ax + bax2 + cx has a local maximum…

A:

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

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

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Q: If f (x) - 2x - kex has a relative maximum at x = -2, then the value of his

A: Given  f(x)=2x-k.exNote: As there is no h in the equation it is assumed that we need to find…

Q: f(x) = 3 x*-4 x-12 x2+1, has local maximum at x=

A: Given :            f(x) = 3x4 − 4x3 − 12x2 + 1

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

A: Find first derivative.

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: Calculate the difference d between the global maximum and global minimum values of f(x)=x2−4x+6 in…

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Q: Find the minimum absolute extremum as well as all values of x where it occurs on the specified…

A:

Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 4 at x = −4 and a…

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: Find the global maximum and global minimum of the function f(x)=x2−16x on the interval [−4,−1].

A:

Q: 2) Find the absolute minimum value on (0,∞ ) for 4 f(x)= 5+x+

A: The second derivative may be used to determine local extrema of a function under certain conditions.…

Q: 6. For the function y=x³, is x=0 both an inflection point and a local maximum /minimum?

A:

Q: The function f(x, y) = -2x² + 4y² - 11 has a local minimum at the point (0, 0). Select one: True…

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

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Q: Find constants a and b in the function f(x) = axb such that f(-) = 1 and the function has a In(x)…

A: Given that the function is  f(x) = abx/ln(x) such that f(1/2) = 1 and the function has a local…

Q: Find the absolute maximum of h(x)=x2 −x−2 over [−3,6]. Enter only the y-coordinate of the maximum.

A: Determine the  derivative of the function  and find the critical points.