Evaluate (f x g)(2), given that f(z) - and g(z) -. 2. de".

Q: Find f-1 if f (z) = iz + 1.

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Q: he Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x2 Ciuo Hooim

A: Here we have to use linear approximation rule.

Q: Compute the derivative of f (x) = x 3/2 using the limit definition.

A: fx=x32

Q: The tangent line to y=f(x)y=f(x) at (−3,−2)(−3,−2) passes through the point (−4,−3)(−4,−3). Compute…

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Q: of f(x, y, tion of ve

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Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

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Q: -x²+5 < f (x) < x+1 2

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Q: : Verify Mean value theorem for the function f(z) = 4x over the interval [0, 2].

A: As given function is: fx=4x3 Given interval is: 0,2 According to mean value theorem for a continuous…

Q: 6 Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 3+x2 (Use decimal…

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Q: Show that f(z) = 3z2 + 2z + 5 is analytic function.

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Q: 3. Where is f(x) = concave up? Justify your answver. %3D

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Q1: If the function f(x) define as f: R→ R such that f(x) = (x+1, x>2 x²-1, x≤2 Show that the…

A: This is the question to check the differentiability of the function.

Q: B)Is w = Ze² analytical function or not?

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Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

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Q: 2. What is the lilm f(x)?

A: From the given graph in extreme left side we can clearly see that. If x tends to minus infinity then…

Q: Find the linerization  of f(x)=x^3  near x=1 . use that linerization to approximate (1.1)^3

A: Linearization of f(x) near x=a is given by f(x)=f(a)+f'(a)[x-a] Where f'(x) is first derivative of…

Q: Does the MVT apply to f(x) = - on the interval [1, 4]?

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Q: How do I show that F(x) are antidervatives of f(x)?

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Q: 6. Use an appropriate substitution to prove f(x)dr = | f(a+b- x)dx.

A: To use an appropriate substitute to prove  ∫abfxdx=∫abfa+b-xdx

Q: x² + 1, if x < 1 3x, if x 1 is f(x)continuous at x = 1? Explain. 16 If f(x) %3D

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Q: Determine if f(x) = x4sin(1/x3) is uniform contuinius in the interval f : (0,∞) --> R

A: Some facts related to uniform continuity of function: A  function f is uniformly continuous on…

Q: 1 Differentiate f(x) = log, x from the first principle. Note: f'(x) = x In a

A: q- differentiate the function fx=logax from the first principle it is known that, according to first…

Q: for x 2 - X Is differentiable at x = 2 but not at x = 1.

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Q: how that: (f)=X*(-f) x(t) is even, then b₁=0, an= To

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Q: 11. Prove from the definition that the following functions are differentiable. ()- (b) f =xy?

A: By the definition, the function f(x,y)=xy^2 is differentiable if fx(x,y) and fy(x,y) both exist.

Q: Suppose we know that f(x) is continuous and differentiable on the interval [-7,0], that f(-7) = -3…

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Q: 2. Let f(x) = r³, 0, if reQ if r ER\ {Q} Show that f'(0) = 0.

A: We have given a function ,  fx = x3 , x ∈ ℚ0 , x ∈ ℝ \ ℚ We need to show that , f'0 = 0 We know the…

Q: Find a function flx) such that f(x) -llex and %3D 3. f(0)-- 주

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Q: 3 Show that f(x)= 1x-5 is NOT differentiable at 5 by using the defini tion of the derivative, (Start…

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Q: 8- When f(x)-x' the value of error of Simpson's rule becomes .........

A: 8.) f(x)=x2f'(x)=2xf''(x)=2f'''(x)=0f(4)(x)=0

Q: - Given f(x)= -, find f(x). 2+x %3D 6.

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Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: Show that the function f(x) = exp(-|x|) is not differentiable at x = 0.

A: Given function is  fx=e-x given point is x=0.

Q: 3-The function f defined by 2. Is f is Continuous at x=| ?

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Q: 5, what is f'(x)?

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Q: Suppose that f hits every value between y = 0 and y = 1 on the interval [0, 1]. Must f be continuous…

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Q: 4. If f(x) = sin x, show that f(2.x) = 2f(x)f(-x) %3D

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Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal…

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Q: [1, 2). over Calculate M6 for f(x) = 3 · In(x³) M6

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Q: Show that the function xsin f(x)%D 0, When x 0 is continuous but not differenti able at x = 0 When x…

A: Let f be a function defined in the neighbourhood of 'a'. Then the function f is said to be…

Q: Suppose we know that f(x) is continuous and differentiable on the interval (-7,0], that f(-7)=-3 and…

A: fx is continuous and differentiable function on the interval -7, 0, f-7=-3 &amp; f'x≤2.

Q: Suppose f is differentiable with f(0) = 0 and 0 0.

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Q: х — 1 - 2. For f(X) calculate f-'(8) = ? %3D х — 3 -

A: Given : f(x) = (x - 1)/(x - 3), we want to find the function f-1 that takes the value y as an input…

Q: Show that f(z) = 3z² + 2z+5 is analytic function.

A: Given

Q: (i) Consider the function such that f(x) = 2x if 0SxS1 and f(x) = x-1 if x> 1. Is f continuous over…

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Q: 5. Is the function given by g(x) = 4x³. 6x continuous on R?

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