8. , plot the curve. Hint. Through the quadratic form, transform it to principal axes, and express [x1 x2] in terms of the new coordinate vector [y1 y2]. Please try specifying each dimension of your plotted conic section. (10 分)

2. The tank in Fig. 1 contains 80 Ib of salt dissolved in 500 gal of water. The inflow per minute is 20 1b of salt dissolved in 20 gal of water. The outflow is 20 gal/min of the uniform mixture. Find the time when the salt content y(t) in the tank reaches 95% of its limiting value (as t→ ∞). (10 分)

8. , plot the curve.
Hint. Through the quadratic form, transform it to principal axes, and express [x₁ x₂] in terms of the new coordinate vector [y₁ y₂]. Please try specifying each dimension of your plotted conic section. (10 分)

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