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Numerical Methods Math questionQuestion 1: 1. Find the Taylor Polynomial of degree 4 (pa(x) for f(x)co(), about 2. Bound the error in using P4(1) to approximate cos(r) on [-π/4, π/4] 3. How large should be the degree 2n be chosen to have the point a= 0, Find its remainder (bound its remainder). lcos(!)-Pan(z)| < 0.01 for all-r/4 < x < π/4% Check your result by evaluating the resulting P2n( at /8.

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