Answer:
You can follow the following method, there are other ways to do this too.
Step-by-step explanation:
Taking RHS,
(cosx-sinx+cosx+sinx)/(cos^2x-sin^2) [Taking LCM of den.]
2cosx/cos2x
Taking LHS,
sin2x/cos2x*1/sinx
2sinxcosx/cos2x*1/sinx
2cosx/cos2x
Answer:
4,500 items are made every 4 hours.
5,625 items are made every 5 hours.
Step-by-step explanation:
when you multiply 1125 by for it will equal 4500 and when you multiply 1125 by 5 it will equal 5625
Answer:
6, 3
Step-by-step explanation:
Systems<span> of </span>linear equations<span> can only </span>have<span> 0, 1, or an infinite number of </span>solutions<span>. These </span>two<span> lines cannot intersect twice. The correct answer is that the </span>system<span> has one </span>solution<span>.</span>
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
