1. Find the absolute max/min values of f(x) = 3x – 12r + 5 on the closed interval (0, 3).

Q: Find all critical points of the function f(x)=x√1−x2.

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Q: The function f(x) = 2x 36x + 210x – 4 has two critical numbers. The smaller one is x = and the…

A: Thw critical points are given below

Q: The function f(x) = 2x – 42x + 270x – 2 has two critical nu The smaller one is x = and the larger…

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Q: 2. Find and classify the critical points of the function f (x, y) = 6x2 – 2x³ + 3y? + 6xy

A: The solution is given below in the next step:

Q: Find the minimum and maximum value of the function on the given interval by comparing values at the…

A: We have given a function y = x3 - 12x2 + 21x To find:  The mnimum and maximum value of the function…

Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. y = √x, [9,…

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Q: A-Find the local minimum and maximum of f(x)=xe^3x using the first and second derivative test.…

A: for question A see 2nd ,3rd and 4th step. for question B see 5th step.

Q: If f(x) = x – kx-1 has a relative maximum at x = -2, then the value of k is %3D

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Q: Find a point c satisfying the conclusion of the MVT for the given function and interval: y = ex − x,…

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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: (I) Find the critical points of the function f(x) = x + x² + 1

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Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

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Q: Find the critical point for the function f(x)=-x² +3x+1

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Q: The function f(x)=2x^3−33x^2+108x-4 has two critical numbers. The smaller one is x =?    and the…

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Q: 5. Determine the minimum value of f(x) = e* – 3x on the interval [-1,1] [T:3] %3D

A: Topic:- Maxima minima Minimum value of f(x) is 1.

Q: Show that the function f(x) = e1/2)[(x-µ)/a}° has a relative maximum at x = µ.

A: fx=e-12x-μσ2 Differentiating with respect to x, we get…

Q: Q.4. locate the critical points of the function f(x)=x*(x-1)³ and identify critical points which are…

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Q: Find the critical points of the function f(z) = 3z - 9z.

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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: x? Find the critical points of the function: f(x)= x- 2

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Q: Find the critical point of the function f(x, y) = 1 - x – 6x² – 8y + 3y?

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Q: Consider the function f(x) = - 2x + 24x2 42x +4. %3D - Find the critical points.

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Q: Determine all critical points for the function. f(x) = x3 - 12x + 3 x = -2 and x = 2 Ox = -2 O x = 2…

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Q: Find the linearization of f(x)=ln(x2-3) at suitably chosen integer near X=2.1. Then use the…

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Q: If f (x) = x(x - 2), then the critical points %3D of the function f(x) are

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Q: 7) Find the critical point (s) of f(x, y) = 2x³ + 3y² - 9x² - 30y + 12x-3. Then use the second…

A: solution is given below...

Q: Find the positive critical point of the function f(x) 2+3

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Q: Find the critical numbers for the function f(x)=|3x-4|.

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Q: find the value of a so that the function f(x)=xeax has a critical point at x=6

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Q: 3. Find the fixed point(s) of f: [1, ∞)→→ [2, ∞) defined by f(x) = √²+x.

A: 3) To find: fixed points of f:[1,∞)→[2,∞) defined as f(x)=x2+x.

Q: 5 Find the point X to minimize the function f(x1, x2) =1+¤1 +2x2+ from the strating point X, = using…

A: We are given the following optimization problem : f(x1 , x2) = 1 + x1 + 2x2 + 5/x1 + 10/x2 And we…

Q: 2 If f(x) = 2x- kr has a relative maximum at r = -2, then the value of k is %3D

A: Note :-  If f(x) has relative maximum at x=a then f'(a) =0.

Q: Let f(x) = 18xe - 1s. (a) f'(x) (b) Solve f'(x) = 0 to determine the critical values of f.

A: Recall: (uv)'=u'v+v'u

Q: 4. Find all of the critical points of the function f (x)

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Q: 1 Find the length of the curve f(x) + from x = 2 to x = 4. %3D 6. 2x

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Q: Find the critical numbers of the function

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Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

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Q: Suppose that the function f(x, y) = x°y+ax – 8y + 5 has a critical point at (2, –2). What must the…

A: For a function of two variables, f(x, y), a critical point is defined to be a point at which both of…

Q: 3. Find a linear approximation to the function at the point x = 3. y = f(x) = x²e + 8x

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Q: Find the critical point(s) of the function f(x) = x³ + x−³+2.

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Q: 2. Determine the critical points of the function: R(y) : y2 – 6y -

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Q: 3) Find the absolute maximum and minimum values of the functior F(x)= Vx on the interval -1sx< 8.

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Q: find all critical points of the function f (x) = xe^2x

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Q: Find all critical numbers for the function f(x) = zt_ z궁 || -

A: The function is given by fx = x13-x-23 To evaluate: The critical numbers of the function.

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

A: Given:The given function is f(x)=20x11ln5x    (x&gt;0)To find:the critical point c for the…

Q: For the function f(x,y) = –2x² – 3xy – y? – 3x, does the critical point (6, –9) correspond to a…

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Q: Find the critical point of the function f(x, y) - 4+ 7x – 5x² + 6y + 7y?

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Q: find thr critical numbers of the function f(x)=1/3x^3-4x^2+12x+2

A: Consider the function