Given Lm [(+-«= 2 3 3 3 >I 3 + (i – 1)-) sin( 3 + (i – 1) п i=1 express the limit as n → o as a definite integral, that is provide a, b and f(x) in the expression | f(a)dx. , f(x) = Preview

Q: The figure below shows the derivative f' of f. f ' (x) 4 10 + x मुंह 2 6 8 12 (a) Choose all…

A: We know Function increasing when f'x≥0Function decreasing when f'x≤0

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Q: Draw a graph for following f' > 0 on (-∞,1) and f"l > 0 on (-∞, 1) U (1, ∞).

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Q: hich z ∈ C the function e^(1/z) is holomorphic?

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Q: If - 2x +1 ,when X#! and fcx)= 3 when x= 1 show that The function fex) Continuous at X - 1

A: The detailed solution is as follows below:

Q: Differentiate the function f. Use the form f'(x) = f(x) = 9x² + x + 8 f'(x) = = lim h→0 f(x +h)-f(x)…

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Q: Inx dr Lim их 3.

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Q: Suppose that a function h satisfies −x^2 ≤ h(x) ≤ x^2 for all x. Prove that h is differentiable at x…

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Q: , for x 1 Let f(x) be a function de fined by f(x)3= Discuss the contuniuty of f andf".

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Q: Suppose that f'is continubus, f(o)-o and f(5)= e So f'(x) sin?Cf(x) dx 4) Calculate

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Q: Let f(x) = x?sin (-) for x + 0 and f(0) = 0. c) Show that f'is not continuous at x = 0.

A: Given function  f(x)=x2 sin1x      for x≠00                  for x=0 we have to show that f' is not…

Q: Select the graph of a function f that satisfies f' 0 on (-0, -1)U(-1, 0).

A: means f is decreasing for x> - 1   means f(x) is concave up on both sides of x=-1

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A: Given:We have to find the following function is analytic or not. =Ƶ2-1Ƶ-Ƶ2+4

Q: f(x)= -2x+3 if x>-1 it メニー」 3+ ax2 if xc-1 if xa-I Is the fanciono continuous at x>-1?

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Q: Show that f is continuous on (-0,00) sin x if x 4 V

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Q: For each of the following functions, find (∂z)/(∂x) and (∂z)/(∂y) (d) If z =…

A: Given: z=ax+by2+eax+by+sinax+by To find: ∂z∂x and ∂z∂y To show: b∂z∂x=a∂z∂y

Q: if f'(a) exists, then f is continuous at x = a. True False

A: Function f differentiable at x=a

Q: Suppose f is a function for which f' and f" continuous on 1, 3. You are given that f(1) = 4, f'(1) =…

A: Apply the integration by parts method, ∫uvdx=u∫vdx-∫dudx∫vdxdx So,…

Q: What is the residue of the function f(z) = (z^2 + 1) / (z^3 - 2z) at the point z = i?

A: We have to calculate the residue at

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A: Given f:ℝ→ℝ has a third order continuous derivative Case 1: Consider fx is even function f-x=fx…

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Q: Find the tangent equation for the function: f(x) = Vx2 + 5 at =2?

A: As per our guidelines we are supposed to answer  only one question. Kindly repost other question as…

Q: Let F (x) : tan't dt. Find F' (V3 -1, 4 27

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Q: If f' is continuous on [-1,4], then S*, f'(x)dx = f(4) – f(-1) Select one: O True O False

A: Answer Is TRUE