A particle moves on the hyperbola xy=15 for time t≥0 seconds. At a certain instant, x=3 and dx/dt=6. Which of the following is true about y at this instant?

is decreasing by 10 units per second.

Step-by-step explanation:

Given information:

The particle moves on the hyperbola

Time

Now at a certain instant , and

Now, Differentiating with respect to

We get:

Now substitute the values in above equation:

The negative sign indicates that is decreasing by 10 units per second.

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The particle follows hyperbolic path. The value of   is decreasing at the rate of units per seconds.

Given: A particle moves on the hyperbola for time seconds. At a certain instant, and .

According to question,

hyperbola curve is .

Differentiating the curve w.r.t we get:

Now substituting the values are   and .

Therefore, is decreasing units per seconds.

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Step-by-step explanation:

From the information being provided;

We learnt that Becky pays simple interest at an annual interest rate of 8.8% which is calculated quarterly.

i.e.

Since the first payment of $27,000 happened in the first three months, therefore, Becky will be able to have the money in the bank for 3 quarters prior to the lump-sum payment gets started.

Thus, the estimate of the amount Becky would earn as interest during this period of time is as follows:

I = $1,782