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受欢迎的微积分 >

面积 x=5y^2,x=54-y^2

解答

面积

x = 5 y^{2}, x = 54 - y^{2}

解答

无解

求解步骤

对于

x = 5 y^{2}

将

y

移到一边:

y = \frac{x}{5}, y = - \frac{x}{5}

对于

x = 54 - y^{2}

将

y

移到一边:

y = - x + 54, y = - - x + 54

f_{1} (x) = \frac{x}{5}

f_{2} (x) = - \frac{x}{5}

要找到相交点，解

f_{i} (x) = f_{j} (x)

\frac{x}{5} = - \frac{x}{5} : x = 0

\frac{x}{5} = - x + 54 : x = 45

\frac{x}{5} = - - x + 54 : x \in R

无解

- \frac{x}{5} = - x + 54 : x \in R

无解

- \frac{x}{5} = - - x + 54 : x = 45

- x + 54 = - - x + 54 : x = 54

曲线没有界限

= 无解

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