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

$\frac{dV(t)}{dT} = A*V(t)^{2} \\$ and V(0) = 900 $cm^{3}$

where A is a real constant, it appears because it says that the change i volume (dV/dt) is "proportional" to $V(t)^{2}$ . 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.

$\frac{dr(t)}{dt} = B*\sqrt{r(t)}$

Here again appears a constant B for the "proportional" part. And i wrote the velocity as $\frac{dr(t)}{dt}$ "the rate of change of the position with respect to te time".

7 0

3 years ago

Calculate the new balance using the previous balance method. Previous balance = $34.80 Finance charge = $0.75 New purchases = $8

pychu [463]

<h3>Given</h3>

new balance = previous balance + finance charge + purchases - payments

previous balance = $34.80

finance charge = $0.75

purchases = $83.21

payments = $5.50

new balance

<h3>Solution</h3>

Fill in the given information and do the arithmetic.

... new balance = previous balance + finance charge + purchases - payments

... new balance = $34.80 + 0.75 + 83.21 - 5.50

... new balance = $113.26 . . . . matches the 2nd choice

7 0

4 years ago