The conic for the equation

usagirl007A
2020-11-12
Answered

The conic for the equation

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SoosteethicU

Answered 2020-11-13
Author has **102** answers

Consider the equation,

${(x+1)}^{2}=4(-1)(y-2)$

Now, compare the above equation with the standard equation of the parabola, that is,${(x-h)}^{2}=4p(y-k).$

$h=-1,k=2{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}p=-1$

Thus, the equation${(x+1)}^{2}=4(-1)(y-2)$

is the equation of the parabola with vertex at$(-1,2)$

and the directed distance from vertex to focus lies at$(h,k+p)=(-1,2-1)=(-1,1)$ and the directrix is,

$y=k-p$

$=2-(-1)$

$=3$

The graph is shown below,

Therefore, the graph has been shifted 2 units upward and 1 unit to the left from the standard position.

Now, compare the above equation with the standard equation of the parabola, that is,

Thus, the equation

is the equation of the parabola with vertex at

and the directed distance from vertex to focus lies at

The graph is shown below,

Therefore, the graph has been shifted 2 units upward and 1 unit to the left from the standard position.

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Find the rate at which water is draining from the tank after (a) 5min, (b) 10 min. At what time is the water flowing out the fastest?the slowest?

Find the rate at which water is draining from the tank after (a) 5min, (b) 10 min. At what time is the water flowing out the fastest?the slowest?

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What is the magnitude F of the force?

What is the tension in the string between block A and block B?

What is the magnitude F of the force?

What is the tension in the string between block A and block B?

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a)

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The expansion for