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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the answer is d. 75%

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.