A field is a unit of data consisting of one or more characters(bytes).
Answer:
1 69/145 cups
Step-by-step explanation:
We can use ratio's to solve this problem. We will put water over time
214 cups x cups
--------------- = --------------
145 hours 1 hours
Using cross products
214 *1 =145 x
Divide both sides by 125
214/145 = 145x/145
214/145 = x
145 goes into 215 1 time with 69 left over
1 69/145
The answer is (1/2)xe^(2x) - (1/4)e^(2x) + C
Solution:
Since our given integrand is the product of the functions x and e^(2x), we can use the formula for integration by parts by choosing
u = x
dv/dx = e^(2x)
By differentiating u, we get
du/dx= 1
By integrating dv/dx= e^(2x), we have
v =∫e^(2x) dx = (1/2)e^(2x)
Then we substitute these values to the integration by parts formula:
∫ u(dv/dx) dx = uv −∫ v(du/dx) dx
∫ x e^(2x) dx = (x) (1/2)e^(2x) - ∫ ((1/2) e^(2x)) (1) dx
= (1/2)xe^(2x) - (1/2)∫[e^(2x)] dx
= (1/2)xe^(2x) - (1/2) (1/2)e^(2x) + C
where c is the constant of integration.
Therefore,
∫ x e^(2x) dx = (1/2)xe^(2x) - (1/4)e^(2x) + C
Answer:
192 minutes
Step-by-step explanation:
24,000 times .4 = 9600
9600 / 50 = 192
