Write the differential equation model that fits the given description. (a) the rate of change of the volume of a snowball (due to melting) is proportional to the square of the volume at time t. initially, the snowball has a volume of 900 cm3 . (b) for an insect moving along some path, the velocity at time t is proportional to the square root of its position.

a) he rate of change of the volume of a snowball (due to melting) is proportional to the square of the volume at time t. Initially, the snowball has a volume of 900 cm3

and V(0) = 900

where A is a real constant, it appears because it says that the change i volume (dV/dt) is "proportional" to . Furthermore, we should assume that A is a negative number, because the volume of the snowball will decrease as the time pasese by.

(b) For an insect moving along some path, the velocity at time t is proportional to the square root of its position.

Here again appears a constant B for the "proportional" part. And i wrote the velocity as "the rate of change of the position with respect to te time".

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: