Answer:
B. x<27
Step-by-step explanation:
The shelter has 165 animals.
The shelter must keep its total occupancy below 300.
The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be
165+5x animals. This number must be less than 300, so
Answer:
A: 1 crackers = 95/4 cals
B: mass= 16/4
c: 15/4
Answer:
that shall answer 15 < 4x on a number line
Step-by-step explanation:
view image for more clarity
Answer:
no
Step-by-step explanation:
6-6=0
1-6=-5
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
