7. jika z + 0 (0, jika z = 0. f(z) = Show that: a. Function f continuous for C b. f'(0) is NOT EXIST

Q: 1. Express the followings in the form of x + iy where r, y E R.(choose one.) (a) 금+ 부 (b) ( + ) ( –…

A: Rationalise  all the term and calculate to get the final answer.   Actually as per the barteleby…

Q: Local linearization is used to justify L'Hopital's Rule when f and g are differentiable and…

A: Not only zero , when both f(a) and g(a) are infinite , in that case we can also use L'Hospital rule

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A:

Q: Let ƒ be a function that is continuous everywhere. The graph of the derivative of f, is shown below.…

A: (a) True Explanation : The graph of f' is decreasing on the interval (0,∞) , hence the function f is…

Q: Examine if f(x) = x3sin(1/x) is uniform continuous on the interval (0,2]

A:

Q: Prove f-1(E U F) = f-\(E) U f-1(F)

A: We have to prove that f−1E∪F=f−1E∪f−1F. Let x∈f−1E∪F hence, x∈f−1E∪F⇔fx∈E∪F…

Q: tion f defined as xy Ax, y)=- when (x, y)#(0, 0) when (x, y)=(0, 0) =0, is continuous at the origin.

A:

Q: is there any linear independent functions with n – 1th continuous derivative g1, 92, ... , gn(with…

A:

Q: Let f(x, y) = e²x* %3D Evaluate f(3, 5)

A: Given :   f ( x, y) = exy x4   point ( 3,5)

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A:

Q: 8 f'(t) dt 24, what is the value of f(8)? If f(3) 12,f is continuous, and 3

A: Given,

Q: Let /: X→Y be a function, A, B C X and C, DCY. Show that: 3. If CSD then SF (D) 4. f¹(COD)=f-¹(C)…

A:

Q: 83. Let f(x) = In (1 – x²). (a) State the domain of f. (b) Find f'(x). (c) State the domain of f'.…

A: Since you have asked multiple question and have not specified any question in particular, I will…

Q: 1. The graph of ƒ' is shown. y = f'(x) 2 -2 1 1 2 3 4 6 7 -2 -3 Sketch the graph of f given that f…

A:

Q: Let f(z) be a differentiable function on the interval [-6, 2] such that f(-6) = --4 and f'(z) < 2.…

A:

Q: Are there independent linear functions with derivative number n – 1 continuous 91 ,..., „,with…

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Q: x' - 27 x² -9 (c) at x = 3 and x = -3

A: First of all to find critical points put the denominator equal to zero. x2 - 9 = 0 x 2 = 9 x = 3, -3…

Q: 3. Let there be some a, b R such that f(a)ƒ'(a) = f(b)ƒ'(b) + 1. Show that f f(x) f"(x)dx ≤ 1.

A: This is a problem related to integration. Based on the general formula and concept we will prove the…

Q: 2. Let f(x) be a function with domain (00, -00) and f'(x) = 2x3+3x²-36r. Find the intervals where…

A: Step 1:Step 2: Step 3: Step 4:

Q: f(x) 10-9 -8-7-6-5-4-3 -2 -1 123456 -2 Los intervalos para los cuales f'(x) <0 son: Seleccione una:…

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Q: Show that w=f(z) =3ix+y dose not satisfy C.R.E. thus it is not analytic function

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Q: TRUE OR FALSE. a) f is increasing on (-∞, -3). (b) f is differentiable on x = -3. (c) f" is…

A: A differentiable one-real-variable function is one that has a derivative at each point in its…

Q: The graph of the derivative f'(x) of a continuous function f is shown. On what intervals is f…

A: Given, The graph of  f'x   We have to find the intervals on which f is decreasing.