Find the degree 2 Taylor polynomial of f centered at x = 2 when f(x) = 5x ln x. 5 1. 10ln 2+5ln 2(x − 2) + (x − 2)² 2. 3. 4. 5. LO 5 10+5(ln2+1)(x − 2) + 5 10 In 2+5(ln 2 + 1)(x − 2) + − (x − 2)² (x − 2)² 5 10+2ln5(x-2) + (x − 2)² 5 2(x 10 In 2+5(ln 2 + 1)(x − 2) + = (x - 2)² 6. 10+5 ln 2(x − 2) + (x - 2)²

Q: Let 1 f(x)= 1-x The third Taylor polynomial of the function f(x) at x = 2 is P3(x) = ( x - 2) - ( x…

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Q: 20. Show that the nth Taylor polynomial for f(x) = a = 1 is 1 - / - 2 T₁(x) = - (x − 1) (x − 1)² + 4…

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Q: if 13 x = 0 (1) (2) (3) X 1+x² (1) ex³ (2) X (3) 1 x ln(1 + x) 6th Taylor polynomial 10th Taylor…

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Q: If f(x)=ln(x) and x,-3.1, x₁-3.2, x-3.16, then the error bound in Lagrange interpolating polynomial…

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Q: Find the Taylor polynomial of degree 4 for f(x) = cos x about a = 元-3 π

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Q: Use the second Taylor polynomial P2(x)P2(x) for f(x)=x2+ln(1+x)f(x)=x2+ln⁡(1+x) about x0=0x0=0 and…

A: P2x=f0+f'0x-0+f''0x-02f(x)=x2+ln(1+x)f(0)=0f'(x)=2x+11+xf'(0)=1f"(x)=2-1(1+x)2f"(0)=2-1=1∴P2(x)=x+x2…

Q: 35. Verify that Tn (x) = 1+ x + x? + ..+ x" is the nth Maclaurin polynomial of f(x) = 1/(1 – x).…

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