X(1+x²), 0< r<2, f(x) = 0, otherwise

Q: 1) Find the absolute extremum values of f(x) = x² - 3x + 12 over the interval 1, 3]. -

A: The extreme value of function at f(3)= 30

Q: x-1 2. Find the critical numbers of f(x) =- %3D x +4

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Q: In the function:  f(x)=(12−3x)e^x  What are the critical numbers of the function?  When is the…

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Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx…

Q: The function f(x) = 2x 30x + 126x – 6 has two critical numbers. %3D The smaller one is x = and the…

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Q: Analyze the critical points of f (x) = (2x − x2)ex .

A: fx=2x-x2ex Differentiating with respect to x, we get…

Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-

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Q: Find the critical numbers of the function.…

A: Critical numbers of a function are the numbers for which first derivative is zero or undefined. Now…

Q: 38 Find the critical numbers of the function. 25. f(x) = x³ + 3x² – 24x %3D -

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Q: Find all the critical points of the function 1 3 f(x,y) = x° -6y-7x+18y-3 What are the critical…

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

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Q: Complete the table.

A: Given;

Q: 9. f(x) = x3-8 %3D at x = 2 x-2 10. f(x)= (x+2)(x+3)-12 ,at x = 1 x-1

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Q: Use algebraic methods to determine the critical value(s) of f(x)= x/(x^2-x-2). Give your answers in…

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Q: Find the critical point of the following function y= -x2 + 2x - 2

A: Given: The function y=-x2+2x-2, To find: The critical point of the given function.

Q: What is the minimum value of F(x) = -4 sin

A: Answer and explanation is given below...

Q: X1 6. ((-)- f(l)= f(0)=. f(2.5)=

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Q: Find all critical points of the function f(x) = x² – 4x + 6 = x

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Q: f(x) = 2/(x^2+1) -1  is f(x) continius?

A: The given function fx=2x2+1-1 Since x2+1 is always +ve. Therefore, 2x2+1 is always positive and real…

Q: In the function:  f(x)= (3x^2)ln(x) , x&gt;0  What are the critical numbers of the function?

A: Given function is

Q: (x -1, if 0 < x < 1 2x f(x) = |x – 3| , g(x) = -4 Vx, h(x) = %3D , if

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Q: 1. Find the absolute extrema of f (x) = x* - 8x² + 3 on the interval [-1,3].

A: Absolute extrema on a closed interval lies on end points or at f'(x) = 0 So first we have to…

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

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Q: Find all the critical numbers for the function f(x) = (x-1)/(x+1)

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Q: 2) f(x) = {*+ 2 , -1<x<0 0 <x <1 2) f(x) = {* +? х,

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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: 3/3x 2/3x 1 Find all possible critical numbers of the function f(x) = - 2.

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Q: 1. f(x) = 3x² – 12x + 1 at the point (0, 1) 2. f(x) = x² + 1 at the point (0,1) 3. f(x) = x² – 2x +…

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Q: Find the positive critical point of the function f(x)=x/x^(8)+6

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Q: Find all the critical points of f(x) = 2x3 + 3x2 - 12x. O -1, 0, and 2 O -2, 0, and 1 There are no…

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Q: Find all FIRST and SECOND order critical POINTS for f(x) = (x² +x – 2)'/3

A: fx = x2+x-213f'x = 13x2+x-213-1 . ddxx2+x-2        = ddxx2+ddxx+ddx-23x2+x-223        =…

Q: find all critical numbers of the function f(x)= 4x^4-42x^3-360x^2+35

A: Given, f(x)=4x^4-42x^3-360x^2+35

Q: Consider the function  f(x) = (x − 4)/( x + 2) .…

A: We have to say about the critical number 2 for the function: fx=x-4x+2 We know that we do calculate…

Q: The interval where  f(x) = )=(√x+2) / x2 - 2x - 8 is continuous is ?

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Q: Find the critical points of f(x)= (x 2-3)ex

A: Calculation: For critical points put first derivative of f equals to zero.

Q: - I5 § Continuous xa2 X2ス X=2 Xくス -2X

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

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: The function h(x)=In(x² +c) is concave up on the interval (-4,4) and concave down on the intervals…

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Q: Solve the critical points of f(x)=2x²(x-3) ² for x only

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Q: Find the critical numbers of the function. f(x) = x-4ln(x)

A: Given function :

Q: 3. f(x) = x In x - 2x + 3 on (0, ) . f(x) = -12r + 75x* – 80x . f(x) = x² - 2 In x %3D

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Q: 6 Find the critical numbers of the function f(x) = x5 - * – 12x2 .

A: The given function is  fx=x65-12x12.

Q: 3/ Find the critical numbers of the function f(x)= x/5 (4-x)

A: The given function f(x)=x354-x

Q: |x + 2, x> 0 讨论函数f(x) = 在x=0的连续性. х — 2, х <0 -

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Q: Use algebraic methods to determine the critical value(s) of f(x) = x √4−x.  Give your answers in…

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Q: f(1-3/x)dx3= X +2x/x + C X-2x ex2+1 of X-2x/2 x(1-2/x) +C x(1 לx-

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Q: Find the critical numbers of the function. f(x)=32x-2x^2 x=

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Q: he function f(x)=2x^3−36x^2+162^x−7 has two critical numbers. The smaller one is x=    and the…

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

A: A detailed solution is given below