Using the chain rule.
<span><span>sin^3</span>(x) = [sin(x)<span>]^3
</span></span><span><span>d/<span>dx</span></span>[sin(x)<span>]^3</span>∗<span>d/<span>dx</span></span>[sin(x)]
</span>d/dx sinx = cosx
d/dx<span> cosx = -sinx </span>
d/dx<span> (-sinx) = -cosx </span>
d/dx <span>(-cosx) = sinx
back to where we started from!!! </span>
So,
repeat repeat repeat !!
You need to find out how many problems Carl can do in a minute (unit rate), which is 20/55 or .36363636363. If you multiply it by 75 mins, you get 27.27, so the answer would be 27.
Answer:
Step-by-step explanation:
This is a multiplication problem.
We want to multiply 
We factor to get:
We now cancel out the common factors to get:
We now multiply the numerators and the denominators separately to get.
This simplifies to
Therefore the simplified expression is
1) The probability of getting a queen is 187/10000 which is 0.0187 = 1.87%
2) The probability is 449 / 479 which is 0.937 = 93.7%
You may need to round the answers. It doesn't say if they need to be rounded or not.
I think the correct answer is C. i hope this helps
