Use Taylor's polynomial of degree 2 of the function f(x) = tan 1(x+1) + x² %3D about c = - 1 to estimate the value of f (- 0.7).

Q: 2. Find the MacLaurin polynomial of degree 7 for the function F(x) So sin (6t²) dt.

A: SOLUTION-

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A: To  determineTaylor polynomial of degree 4 at 0 has same fifth derivative as f at 0.

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A: Integrate using substitution than take derivative to verify the result.

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Q: ind the Taylor polynomial of degree 2 centered at a=π that approximates f(x)=cos(5x) P2(x)=

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Q: nd T3(x): Taylor polynomial of degree 5 of the function f(x) = cos(r) at a = 0.

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Q: Determine the nth Taylor polynomial of f(x) = 1/x at x = 1.

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A: f(x) = x5 + 4x + 1 Basic formula for Newton's Method is: xn+1 = xn - fxnf'xn f'x = 5x4 + 41 + 0 =…

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A: Maclaurin polynomial of degree 4 is P4x=f0+f'0x+f''02!x2+f'''03!x3+f404!x4.

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A: As per the company policy i can answer only first question for you, More than that leads me towards…

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

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Q: 4. Use Taylor's Inequality to estimate the accuracy of the 5th degree Taylor polynomial…

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Q: Find T; (x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T3(x) = %3D

A: f(x)=cos x at a=0, we have to find Taylor polynomial of degree 5.

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A: To find the derivative of f(X), differentiate with respect to X on each side.

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Q: Let F(x) = | sin(5t²) dt. Find the MacLaurin polynomial of degree 7 for F(x). 0.78 Use this…

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Q: Find the Taylor polynomial of degree two approximating the given function centered at the given…

A: This can be evaluated as follows: