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Problem Let f ( t ) = t 2 f(t)=t^{2} f ( t ) = t 2 r ( t ) = ⟨ sin t , e t ⟩ \mathbf r(t)=\langle\sin t, e^{t}\rangle r ( t ) = ⟨ sin t , e t ⟩ f ( t ) r ( t ) f(t)\,\mathbf r(t) f ( t ) r ( t ) t = 1 t=1 t = 1 ⟨ sin 1 + 2 cos 1 , 3 e ⟩ \big\langle \sin 1+2\cos 1,\;3e\big\rangle ⟨ sin 1 + 2 cos 1 , 3 e ⟩ ⟨ 2 sin 1 , 2 e ⟩ \big\langle 2\sin 1,\;2e\big\rangle ⟨ 2 sin 1 , 2 e ⟩ ⟨ 2 sin 1 + cos 1 , 3 e ⟩ \big\langle 2\sin 1+\cos 1,\;3e\big\rangle ⟨ 2 sin 1 + cos 1 , 3 e ⟩ ⟨ 2 sin 1 + cos 1 , 2 e ⟩ \big\langle 2\sin 1+\cos 1,\;2e\big\rangle ⟨ 2 sin 1 + cos 1 , 2 e ⟩ Browse the problem library