Question

a. Find the linear approximating polynomial for the following function centered at the given point a b. Find the quadratic approximating polynomial for the following function centered at the given point a c. Use the polynomials obtained in parts a, and b. to approximate the given quantity f(x) = 1x, a = 0; approximate 105 a. (x)=0 b.p2(x)=1 c. Using the linear approximating polynomial to estimate, 105 is approximately (Type an integer or a decimal.) Using the quadratic approximating polynomial to estimate, 105 is approximately (Type an integer or a decimal.).

Answer 1

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fo- fico) e al fla) es ; ples I se qims e fos tiflco) Cano) 't if"10) *Caro)? - 2. = 1 + Gula) +. EX? . quise) = |-& tal2... P244) 5.1-8.4 23 " . (c) wing linear appso sa maling polynomial estimating 1:05 Ito.or Ita i a=0.05 - Pl(a) = lnd IR (005) = 10005 0,95) d) By : wing quadrahic polynomial. P2C933 ind timez' . P2(608)=1-605+ (605)² = 6.95 +0.002 CSScanned with CamScanner Peloos) =0.98251 5 to 0028