Due to a lightning strike, a forest fire begins to burn and is spreading outward in a shape that is roughly circular. the radius of the circle is modeled by the function r(t) = 2t + 1, where t is the time in minutes and r is measured in meters.

1). write a function for the area burned by the fire directly as a function of t by computing (a ◦ r)(t).

2) find the area of the circular burn after 20 minutes.

1 - meter²

2 - 5,281 meter²

Step-by-step explanation:

We are given that,

Radius of the circle is modeled by the function, , where 't' is the time in minutes.

Part 1: It is required to compute the area of the forest burned.

Since, Area of the circle =

So,

i.e.

i.e.

Thus, the area of the forest burned by the fire is meter²

Part 2: It is required to find the area after 20 minutes of burn.

That is, t = 20 mins.

So substituting, we get,

i.e.

i.e.

i.e.

i.e. meter²

Thus, the area burned after 20 mins of fire is 5,281 meter².

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.