Ryan is adding water to his swimming pool. The graph below shows the amount of water in the pool as more water is added. What is
the y-intercept for this graph? Explain what the y-intercept represents in context.
2 answers:
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Answer:
Circular paraboloid
Step-by-step explanation:
Given ,
Here, these are the respective axes components.
- <em>Component along x axis
</em>
- <em>Component along y axis
</em>
- <em>Component along z axis
</em>
We see that , from the parameterised equation ,
This can also be written as :
This is similar to an equation of a parabola in 1 Dimension.
By fixing the value of z=0,
<u><em>We get which is equation of a parabola curving towards the positive infinity of y-axis and in the x-y plane.</em></u>
By fixing the value of x=0,
<u><em>We get which is equation of a parabola curving towards positive infinity of y-axis and in the y-z plane. </em></u>
Thus by fixing the values of x and z alternatively , we get a <u>CIRCULAR PARABOLOID. </u>
