A pond contains L of pure water and an uknown amount of an undesirable chemical. Water contaninig kg of this chemical per liter flows into the pond at a rate of L/h. The mixture flows out at the same rate, so the amount of water in the pond remains constant. Assume that the chemical is uniformly distributed throughout the pond. Let be the amount of chemical (in ) in the pond at time hours. (a) Write a differential equation for the amount of chemical in the pond

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation:

answer: two angles are called supplementary if they add up to 180°. example: the two angles (140° and 40°) are supplementary because they add up to 180°.

step-by-step explanation: