When you want to find zeros of rational expression you need to find at which points numerator is equal to zero. In this case, we have the product of three expressions.

A product is equal to zero whenever one of the factors is equal to zero.
That means that zeros of our functions are:
1)

2)


3)


The final answer is a. Function has zeros at (0, 1, -11).
Since
, we can rewrite the integral as

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

Both integrals are quite immediate: you only need to use the power rule

to get
![\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_0%5E11-3t%5E2%5C%3Bdt%20%3D%20%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%2C%5Cquad%20%5Cint_1%5E4%202t%5C%3B%20dt%20%3D%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4)
Now we only need to evaluate the antiderivatives:
![\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15](https://tex.z-dn.net/?f=%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%20%3D%201-1%5E3%3D0%2C%5Cquad%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4%20%3D%204%5E2-1%5E2%3D15)
So, the final answer is 15.
Answer: The level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.
Step-by-step explanation:
If the amount is decreasing by r%, then the final amount is given by :-

, where P = initial value , t= time
Given: P= 200 milligram, r= 35% = 0.35, t= 4 hours
The level of aspirin (mg) will be in your bloodstream in 4 hours = 

Hence, the level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.
Answer:00000000000000000000000000000000
Step-by-step explanation: