Question

Format: • The letter e will be recognised as Euler's number. • Use * to explicitly indicate multiplication between variables and other variables, between variables and brackets, or between sets of brackets (e.g. x*y rather than xy; 2*(x+y) rather than 2(x+y)). • Put arguments of functions in brackets (e.g. sin(x) rather than sin x). Expand the function f(x, y) = ex.sin(y) - 5 at (In(2), 0) by Taylor's formula up to and including the second-order terms. f(x, y) =

Answer 1

Ftr)=ESiny Sint nsinlo)-S=2x0-5 -S F(na,0) S(A2, 0)=2. sin 1) n,0)dn sino na,) Sin (0)=O e e ar(0)2 hy ne,e)

d Tgler srda to Degree Ts t(n,) rin a)=me,)(n) -n)thla,) k-) + + Jsiny ulaer of Thre Deidne desety -tma)+2) + x2xn a) +o &na)x+(2- sin2)-