C. Use the formula to determine the second order Taylor polynomial for the functions. Notice that part (c) is centered at (1,1). You should check your answer using the tricks on (a) and (b). a) g(x,y) = 5+ 1² + e+y, centered at (r, y) = (0,0)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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C. Use the formula to determine the second order Taylor polynomial for the functions. Notice
that part (c) is centered at (1,1). You should check your answer using the tricks on (a) and (b).
a) g(x,y) = 5+ x² + e2r+y, centered at (r, y) = (0,0)
b) f(r,y) =2+y+ cos(x+ 2y), centered at (r, y) = (0,0)
c) f(r, y) = lIn(1 – x + y²) centered at (1,1). This one takes a little more work since it's not
centered at the origin.
Transcribed Image Text:C. Use the formula to determine the second order Taylor polynomial for the functions. Notice that part (c) is centered at (1,1). You should check your answer using the tricks on (a) and (b). a) g(x,y) = 5+ x² + e2r+y, centered at (r, y) = (0,0) b) f(r,y) =2+y+ cos(x+ 2y), centered at (r, y) = (0,0) c) f(r, y) = lIn(1 – x + y²) centered at (1,1). This one takes a little more work since it's not centered at the origin.
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