Let f(x) Find a function y = g(x) so that (f o g)(x) = x. %3! %3D X - 2

Q: Let f(x) = 2. Give a relationship between d and e such that for every e > 0, 0 < x – 3 < d implies…

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Q: The function if x E Q is 0 if x E R \Q continuous at every x E R. 1 f(x) =

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Q: The function f:R→R defined as fW)=log_lV\x²+1+x+VVx²+1-x) is

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Q: If f(x) In 2 + e9x find f '(0). f '(0) = | 9/2

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Q: Let X - x? (s): (a) find E (X² +2x) where E (g (x)) = 6° g (x) fx (x) dx. %3D (b) find the…

A: Given

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: B-Test and proof the function So (x In x)² dx

A: ∫01(x logx)2dx=∫01x2 (log x)2dx use integral by parts, ∫udv=uv-∫vdu u=(logx)2…

Q: 3 Let f(x) = 2 + In(bx), where b is a positive constant. Find f'(x).

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Q: Consider the function f(x) = x - 3 ln(x), sa<7. The absolute maximum value is and this occurs at x…

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Q: Given the function h (x) = : x+1 Over what interval(s) is h (x) decreasing?

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Q: Find a formula for f(") (x) if f(x) = e-10: fln)(z) =[]

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Q: Find the linearization L(x) of the function at a. f(x) = cos(x), a = 77/2 L(x) =

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Q: Find the characteristic function for fy(x)=e.

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Q: 2. Find the intervals of increase or decrease. a) ƒ(x)=x ln x b) f(x) = xe* c) f(x) = xe¯* d) ƒ(x) =…

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Q: x • e e- for x <x < ∞ f(x) elsewhere

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Q: Given a function f(x) that is continuous and differentiable, and a point a in its domain, we…

A: This question can be solve by taking approximation as x tends to a (more close)

Q: Find the domain and range of the function f(x, y) = ln(5 − x − y)

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Q: Find value a  such that f(x)={x^2+2x-1 if x not equal to 1…

A: given,f(x)=x2+2x-1  if  x≠1a                if x=1left hand limit at x=1limx→1- f(x)=limx→1-…

Q: If f(x) is an even, continuous function for which = 4 and dx = 4, then f (x) dx 3 2

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Q: Find the absolution extrema of f(x) = (In x)2 on [1, e].

A: We have to determine absolute extrema of girls question

Q: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? f*

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: f(x)=e^-5x at x=0

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Q: Differentiate the function with respect to the independer X f(x) = +e5x + e 2 e (x) = 0

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Q: The function fis increasing on the interval (s) (A) 0 1 © x>2 D x 2

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Q: Calculate the approximation for the given function and interval. M5, f (x) = ln x, [1, 3]

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Q: Redo the problem in this example using the Cobb-Douglas production function: 1 3 ziyi. 160000 dy da

A: Explanation of the solution is given below...

Q: ind the linearization of the function given below at the specified point. f(x) = 5 In(x) at a = 1…

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Q: Find f’(e) of the following function. f(x)= x3 *(ln x- 1/3)

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Q: 7. Find and sketch the domain of the function f(x, y) = 2 ln(49 – x² – y²) + 8/ -

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Q: If x is large, which function grows faster, f(x) g(x) = x2? %3D

A: The given function is fx=2x   and  gx=x2

Q: Find a general formula for f^n. f(x)=7x^2 e^x

A: Consider the given function fx=7x2ex. In order to find the nth derivative f'n, differentiate the…

Q: function f(x) such that f'(x) = (2x – 1)e²“. O Find the interval/s on which ƒ is increasing /…

A: Explanation: Given that,                          find the critical points to put the f'(x) = 0…

Q: 1. If f is an even function, then f(x)dx=2] f(x)dx. -a II. If f is an odd function, then | F{x)dx=…

A: Option A. Both the options are correct

Q: State the interval(s) over which the function is (a) increasing (b) decreasing (c) constant

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Q: Find the dérivative of the function: f(x)=In(e^x-13x)

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Q: Find a formula for f(n)(x) if f(x) = e' -3x fln)(x):

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Q: 1. Is a function f(x)=√x differentiable at a) X = 1 b) X = 0 c) X = -1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If f(x) = 2+|x-3| for all x, then the value of the derivative f'(x) at x= 3 is (A) -1 (B) 0 (С) 1…

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Q: 7. Find the intervals of increasing/decreasing for the function f(x) = x'e*

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Q: (a) Express the new function m(x) = ln in terms of the original function g(x) In(x). m(x) :

A: Given- mx=lnx2and gx=lnx To find- The value of mx in terms of gx. Formula used- lnab=lna-lnb

Q: d. Find the linear approximation L(x) for f(x)=x²-x-1 at a = 1.

A: Given function is fx=x3−x−1. d We have to find the linear approximation Lx for function fx at a=1.…

Q: A2. b. Given the two generating functions f (x) = and g(x) = find the (1-x)2 (1-x)2 generating…

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Q: S x2 – 3 |kV5+x _if x > –1 if x < -1 - 2. Determine the constant k such that the function f(x) : is…

A: As per our guidelines, I can answer one question and maximum three subparts of a question. Since you…

Q: b) Let f(x) = ¹. Find f'(x), ƒ"(x), ƒ"(x) and ƒ(4) (x). Deduce f(n)(x).

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Q: where k is a constant > 0.

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: 3. Find constants A and B such that the function x2 f(x) = if x 2 is differentiable at x = 2.

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Q: (a): Find the value of k that makes function continuous at x = 4 %3D S 2x + 8 x > 4 x < 4 f(x) = 5x…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: if f(x) = e 2x   find a formula for f n   x

A: Given: The function f(x) = e2x   To determine: The formula for f n(x)