Chapter 10.3, Problem 40E

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Kindly solve this question in 15 minutes in the order to get positive feedback please show me neat and clean work for it by hand solution needed

answer both parts

please answer p4 and last part thank you

Taylor Polynomials! I would appreciate any assistance! The more explanation the better.

Using the remainder formula for the Taylor polynomial approximation, estimate the error in your approximation to sin N°.

Time, t (sec) 10 15 20 22.5 30 Velocity, v(m/s) 227.04 362.78 517.35 602.97 901.67 (a) Determine the value of the velocity at t = 16 seconds using third order Lagrangian polynomial to the nearest 3 significant figures. m/s. (b) Find the absolute relative approximate error for the third order polynomial approximation to the nearest 3 significant figures. percent. (c) Using the third order polynomial interpolant for velocity, find the distance covered by the jet from t = 11 seconds to t = 16 seconds to the nearest four significant figures. metres. (d) Using the third order polynomial interpolant for velocity, find the acceleration of the jet at t = 16 seconds to the nearest four significant figures. metres per square seconds.

Numerical Analysis (1) Y Let f(x) = e*-2 + 4x .Find the third Taylor połynomial of f about xo =2. Then use this polynomial to approximate f(2.03), 1'(2.03)

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