Compute f (g (x)), where f (x) and g (x) are the following: f (x) = x - 1, g (x) = 1/x + 1

Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3

Q: Integrate f(x) from x = 2 to 8 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000+24563x -…

A: Gauss legendre quadrature gives the result of integration over a symmetrical limit of variavle x…

Q: Find the antiderivative F of f(x)=4-3(1+x^2)^-1 that satisfies F(1)=-2.

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Q: Find the funchion f Such that F(x) xf (x)-x and fo) 2

A: Convert the given problem to a simple differential equation and solve the same.

Q: Find the local maximum and local minimum values of f using both the first and Second derivative…

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Q: Find the critical point for f and then use the second derivative test to decide whether the critical…

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Q: Let h(x)=f(x)/g(x). If f(x)=−5cos(x) and g(x)=−4x−2, what is h′(x)?

A: We have to find

Q: Find all critical points of the function f(x) = x4 – x-

A: Critical point is 5/4 Explanation is given below

Q: The function f has a continuous second derivative, and it satisfies f(-8) = 5,f'(-8) = 0 and f"(-8)…

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Q: on f(x, y) = 3x + 9y subject to th %3D

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Q: Prove that for all a, b = R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point…

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. x2…

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Q: Find the linearization L(x)  of the function f(x) = x^4 -2x^2+3  at  x =0.

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Q: Find f(1) if f(t) dt = x- x + 2x2- 2, x >1. %3D

A: Given, ∫1x2ftdt = x6 -x4  +2x2 -2               x≥1 We have to find   f1

Q: Find the absolute maximum and minimum of f(x)=x² - 3x on the interval [-1, 3]. Express your answer…

A: The points of local maximum and minimum can be obtained by differentiating the function and equating…

Q: Find the local and absolute extremum for the functions over their domain: 5. f(x) = vx2 + 8x + 20

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Q: 2. If function f(x) = 3²-12 is continuous at x=2, find f(x). x-2

A: We need to find f(x).

Q: The function f(x)=(2-x)/(3) is continuous at

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Q: Find the linear approximation of the function below at r = -1 and use it to approximate f(-0.8). -7x…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Let 'f be a continuously differentiable real valued function defined bx + a by f(x) ={ 5x x<1 x21…

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Q: Use the Chain Rule to find f'(x). f(x) = (cos x – x²)5

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Q: (B) The function f(x) = x² + x +1 has no fixed point, prove that.

A: Let X be a nonempty set and f : X → X. A point x ∈ X is a fixed point of  f, if f(x) =x.  If no…

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

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

A: Find your answer below

Q: Find the linearization L(x) at x =a. .3 f(x)=4x² +3x-1 a =-3 L(x) =

A: The linearization of a differentiable function f at a point x=a is the linear function…

Q: Obtain the ROOT of the f(x)=x²-2e-×+e-2x function using

A: b. Newton Rapshon method  fx=x2-2e-x+e-2x f'x=2x+2e-x-2e-2x , x0=4 1st iteration…

Q: Find the absolute maximum and minimum of the function  f(x)=xe-x on  the interval [-1,1]

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Q: Differentiate f(x) = f'(x) = 2 ax with respect to x. Assume that a and k are positive constants. k+x

A: To differentiate fx=ax2k+x with respect to x. Assume that a and k are positive constants.

Q: Use the e - S definition to show that the function x- 1 f(x) = x +2 %3D is continuous at x = 3.

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Q: The derivative of g(x) = (1/2)* is: positive for all x O negative for all x negative for x >0 and…

A: Given function is gx=12x  ....1

Q: Find the best quadratic approximation to f on the interval [ 0, 1].                     f(x) = x3

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Q: Find the best quadratic approximation to f on the interval [ -1, 1].                     f(x) = lxl

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Q: Find the value k that makes the function continuous. kx + 14, х > 2 f (x) = 11x + 2, x < 2

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Q: Find the constant c that makes g continuous on (-0;0) x-2x-8 g(x) = a+1 if x+2 if X=-2

A: Continuity of a function at a point x=c : If function is defined at x=c and limx→c fx=fc then we can…

Q: Find the local maximum value of f using both the First and Second Derivative Tests. f(x) = x + V1 -…

A: First calculate critical point at which either local maxima or local minima will occur by putting…

Q: Find the absolute maximum of f(x) = x³ – 12x + 1 on the interval [0, 4]. -

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Q: 24, Find the domain of H function fw =J 2x+3 -1

A: Given,

Q: Show that the function g(x) =x |x | has an inflection point at (0,0) but  g " (0)  does not exist.

A: Given function:                                 g(x)=x|x|   To find out the Inflection point=?…

Q: : Find the value of k that makes function continuous at x = 4 %3D 3x + 6 x > 4 f(x) = 6x – k x < 4 -

A: To find: The value of k

Q: Use the linearization of f(x) 1 at x = 4 to approximate f(4.3) . - f(x) =

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

A: Given

Q: The function f(x, y) -{¹. - x² - y², 0, if if x² + y² 1 , is continuous

A: Given function is fx,y=1−x2−y2, if x2+y2≤10,             if x2+y2&gt;1. We have to check whether the…

Q: Find all points c satisfying the conditions of the MVT for the function f(x)=x3−x in the interval…

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: Find the linearization L(x) of f(x) at x = a. f(x) = a = 0 4x +3

A: topic - linearization of a function

Q: Find the absolute maximum value on (0, oo) for f(x)37-4x--

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the point on the graph of f(x) = Vx that is closest to the point (8, 0). (х, у) -

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