2.4 Use the definition of the derivative of complex function to show that f(z) is not dif- ferentiable at z = 0 where { E, if z + 0; 0, if z = 0. f(z) =

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Q: 1. Find the definite integrals of the following functions : (a) L. 4.x dx (h) dx ex +1 -2 0. (b) /…

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Q: 1. Find the antiderivative of each of the following functions. 3 a. f(x) =+ e* + Vx b. f(x) = sin…

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Q: a)Evaluate y at position x=0.5  b)Evaluate the derivative dy/dx at position x=0.5. c)Using your…

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Q: 4) Evaluate the definite integral: S, (2x² – 4x + 6)dx. -

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Q: Suppose that Mdx + Ndy 0 is an exact equation, and M and N are both homogenous functions of degree n…

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Q: 12 1 3. Find the exact value of the definite integral | dx (x+6) Vx- 3

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Q: Consider the function f(x) = cos x - 3x + 1. Since f(0)f < 0, f(x) has a root in [0]. If we use…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. ƒ(x) has a root in [0]. If we use…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. ƒ(x) has a root in [0,1]. If we…

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Q: 4) It turns out the three-dimensio ball than a football. A footba a trig function like y = a cos(E…

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Q: 10. a. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the functions:…

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Q: Find the slope of the tangent line to the graph of x²-Iny=0 at x=2 O None of these O 4e4 O e4 O 4

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Q: Use the bise ction to approximate the solution of F(X)=Vx - cos X = 0 accurate to within 10 -3 on…

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Q: - Using the integral definition of gamma function show that T(7) = 61(6)

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Q: 1. Use the Fundamental Theorem of Calculus to evaluate the following (DO NO 5x -6x dx 1 | cos (x)--…

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Q: Suppose that Mdx + Ndy 0 is an exact equation, and M and N are both homogenous functions of degree n…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0, f(x) has a root in [o,]. If we use…

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Q: determine the annihilator of the givenfunction. F(x) = x cos 3x.

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Q: 1. Find the most general antiderivative of the function 12 f(x) = ( 2r + sin(4- r) + 7e

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Q: (b) Prove that sint -dt > 0 t+1 for all a > 0.

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Q: The expanded form of the differential operator D(xD -1) is A xD +1 O xD? -D © xD? -1 (D) O xD?

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Q: 23 Given f(x) = +1, that is defined over [1, 6]with a step (h= %3D 2+ sin(x) 1). Using the divided…

A: Given that, f(x)=2x32+sinπx+1 The NGF formula is, P2(x)=y0+q∆y0+q(q-1)2∆2y0 Where q=x-x0h Here…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ(x) has a root in [o,]. If we…

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Q: 1) Find the indefinite integral of the following functions: 3 2x+ 3x4 a) y = Axt B 3 b) y =x-1 +…

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Q: 24 Show that the solution of equation satisfying the condition O T-0, as t0 (1) T-0, for x-0 and x=a…

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Q: Find the quadratic approximation of f at x = 0. f(x) = In (1 + sin 7x) 49 O A. Q(x) = 1 + 7x + 7x 49…

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