Question : \int_{5}^{8} 2x^2 e^{4x} dx∫ ​5
​8
​​ 2x
​2
​​ e
​4x
​​ dx
e^{20}(481e^{12} - 181)e
​20
​​ (481e
​12
​​ −181)
\frac{1}{16}e^{20}(481e^{12} - 181)
​16
​
​1
​​ e
​20
​​ (481e
​12
​​ −181)
\frac{1}{4}e^{20}(481e^{12} - 181)
​4
​
​1
​​ e
​20
​​ (481e
​12
​​ −181)
\frac{1}{8}e^{20}(481e^{12} - 181)
​8
​
​1
​​ e
​20
​​ (481e
​12
​​ −181)
plz help, u win something if u solve this

You are cycling around europe with friends. a cycling festival is starting soon in barcelona. it will take 4.5 hours to cycle there. how many minutes in total is this?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Roger could feed 5 walruses with 4 kilograms of fish. how many walruses could he feed with 7.2 kilograms of fish?