(newton's law of cooling/warming) use 'separation of variables' to solve the ivp: 3+2-5 pts = k(90- t), k> 0 with ic: t(0) 0. estimate the constant k when t(1) 45 dt

Step-by-step explanation:

The Newton's law differential equation is:

We solve by variable separation

integrating both sides between time 0 to time t, T(0) = 0 to T(t).

applying logarithm properties

(*)

applying exponential function to both sides

Now replacing the condition T(1) = 45 in (*)

what the question so we can you out

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61