1.
(a) T
(b) F
(c) F
(d) T
(e) F
(f) T
(g) T
2.
(a) y=(1, −2, 4)
(c) y=210x2−204x+33
3.
(a) T∗(x)=(11, −12)
(c) T∗(f(t))=12+6t
14. T∗(x)=⟨x, z⟩y
20.
(a) The linear function isy=−2t+5/2 with E=1 and the quadratic function is y=t2/3−4t/3+2 with E=0.
(b) The linear function is y=1.25t+0.55 with E=0.3, and the quadratic function is t2/56+15t/14+239/280 with E=0.22857(approximation).
21. The spring constant is approximately 2.1.
22.
(a) x=27, y=37, z=17
(d) x=712, y=112, z=14, w=−112
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