Mathematics: You have $328.58 in your checking account. You then write a check for $166.73 to pay for your school books. (Withdrawing from your checking account). After, you write another check for $72.34 for new shoes. What is your new checking account balance? PLEASE HELP! :(

You have $328.58 in your checking account. You then

silasjob09

19.02.2022

$\frac{dA_{s}}{dt} = -148\,\frac{km^{2}}{min}$

Step-by-step explanation:

The surface area of the square prism is obtained by using the following formula:

$A_{s} (t) = 4\cdot l(t)\cdot h(t) + 2\cdot [l(t)]^{2}$

The rate of change of the surface area can be found by deriving the function with respect to time:

$\frac{dA_{s}}{dt} = 4\cdot [h(t)\cdot \frac{dl}{dt} + l(t)\cdot \frac{dh}{dt}] + 2\cdot l(t)\cdot \frac{dl}{dt}$

Known variables are summarized below:

$h(t) = 9\,km$

$l(t) = 4\,km$

$\frac{dh}{dt} = 10\,\frac{km}{min}$

$\frac{dl}{dt} = -7\,\frac{km}{min}$

The rate of change is:

$\frac{dA_{s}}{dt} = 4\cdot [(9\,km)\cdot (-7\,\frac{km}{min} )+(4\,km)\cdot (10\,\frac{km}{min} )] + 2\cdot (4\,km)\cdot (-7\,\frac{km}{min} )$

$\frac{dA_{s}}{dt} = -148\,\frac{km^{2}}{min}$

0,0(0 оценок)