Answer:
let's say cells is c and hours are x that means there are 15 cells each hour. the equation for that is c=15x
after 08 hours the cells have multiplied 8 times their original size. meaning that the equation changes to this: c=15x x=8 c= 15(8)
x equals 8 at that time.. literally
ok the cells have multiplied and now there are 120 cells in total
then after one day the cells have multiplied over 12 times afterwards. now x equals 24. the equation would look a little like this:
c=15x x=24 c= 15(24)
there are 360 cells now.
Explain in your own words the relationship between x=8 with x=24 in the equation.
Logarithmic differentiation means tAke logarithm of both sides to make the function easier to find the derivative.
y = (sinx)^lnx
ln(y) = ln((sinx)^lnx)
power rule logarithm
ln(y) = ln(x) ln(sinx)
Take derivative
y'/y = ln(sinx)(1/x) + ln(x) cosx/sinx
multiply both sides by y
y' = y( ln(sinx)/x + ln(x)cotx )
remember y = (sinx)^lnx
sub this in for y
y' = (ln(sinx)/x + ln(x)cotx)(sinx)^lnx
sin(π/6) is independent of x, so
We need the following to be true
a+2b = -a
a+4 = 2a - 3b
Let's look at the first equation.
a + 2b = -a
Subtract both sides by a
2b = -2a
b = -a
Substitute b= -a into the second equation
a+4 = 2a + 3a
a + 4 = 5a
4a = 4
a = 1
Just take the negative of that and you get the value of b.
b = -1
Your solution is a=1 and b = -1.
Have an awesome day! :)
