(a) Find the Taylor's series for the function f(x)= sin x at x = (b) Using L'Hospital 'rule to find the limit of lim, -2

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Q: For these questions use the first derivative process to show the second part of the AST condition…

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Q: (4) Find the derivative of f(x)= tanx+5

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Q: Substituting the simplified numerator back into the derivative formula and simplifying, we have 56х…

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Q: By using Power series, show that Taurinus's "log spherical" formula…

A: The law of cosines:                      a2=b2+c2-2bccosA where a, b and c are the sides of a…

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Q: Given the graph of f'(x) below, where is fx) increasing? 6 4 4 6 a) Of(x) is increasing on the…

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Q: Suppose to solve for a root of f(x), i.e., ƒ(x*) = 0, we use the iteration Xk+1 = ¢(xk) where o(x)…

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Q: f(t)=t^2 0<t<π define the half range of sine series.

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Q: Let the improper integrals " sin(-)dx and sin?()dx (i) Write down the first 3 terms of Maclaurin…

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Q: f: (0, 2) → R defined by: -1 0<x <1 1<x< 2 (a) Sketch the Half-Range cosine series for f f(x) = { 1…

A: Given :        f : 0, 2→ℝ defined by       fx=-1,0≤x≤11,1≤x≤2 (a) To sketch the Half-Range cosine…

Q: f(xn) f(xn-1) xna, prove that lim |C| = 1. n→∞ 5. Consider Cn = ƒ'(ïn-1). Under the assumption that…

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Q: (b) Find the intervals in which the function f (x)=x* +6x' +6 is concave up/concave down. Also find…

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Q: Find the limit. lim t-0 sin(6t) ; + e-tj + 4k i t

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Q: (a) Find the Taylor's series for the function f(x)= In(3+4x) at x= 2.

A: The Tayler's formula can be used to calculate the expansion of the function. The formula for the…

Q: (4)When estimating the root of the function f(x) = (x− 1) ^2 lnx  and using Newton Method, find the…

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Q: 5. Let f(x) = -1 0<x<T 0 π < x < 2π 1 2π <x<3π (a) Find the sin series for f(r) with period 67. (b)…

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Q: expansion

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Q: 6. Let f(x)=L - 2x, 0 < x < L. (a) Find the cos series for f(x) with period 2L. (b) Sketch the graph…

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Q: a) The function f(x) = sin (x^2) does not have an elementary anti-derivative. Use the Maclaurin…

A: a Maclaurian series fx=fa+f'ax-a1!+f''ax-a22!+f'''ax-a33!+.............      =∑n=0∞fnax-ann!Given…

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Q: For both the following statements, determine whether it is true or false. If it is true, prove it.…

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Q: Compute the following limits: (1) lim (log, – log2 r*). (2) lim -12 (3) lim 22 (4) lim cos z(z²+7)…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts question. If…