The antiderivative of the function f '(t) = 4 cos (t) + sec^2(t) is determined by applying integral calculus. The antiderivative of 4 cos (t) is -4 sin(t) while the antiderivative of <span>sec^2(t) is tan (t). The total term is -4 sin(t) + tan (t). We try to replace pi/3 and the answer is 3.</span>
Answer:
2775 ways
Step-by-step explanation:
We have been given the case to choose exactly two tails when flipped 75 times means 
Since,
is equal to
Here n =75, r=2 substituting the values we will get


After simplification we will get 
Cancel out the common term that is 73! we will get
after more simplification we will get 
Finally, we will get 
X-5 and what are the flash cards do you mean?
I'm pretty sure the answer to A would be this: the common point that satisfies both equations (where they intersect) can be shown AS 4^(-x) = 8^(-x-1).
The answer to B is forming a table. This is quite easier than you think :D.
Start with x on one side (3) and go all the way down to -3 like this:
(x) 4^-x 8^-x-1
-3 64 (Do the same with this)
-2 16
-1 4
0 1
1 1/4
2 .0625
3 .015625
So basically you just fill in the x variable with every number between 3 and -3. After that, it's just a bit of math and you've done it!
C is a bit misguided. I think it would be quite simple to just use a graphing calculator, but you would have to actually input all the x and y values from the table. After that, you will have a graph.
I hope I helped! Good luck and good day!