Answer:
C is correct
Step-by-step explanation:
10x³+2x²+0x-11
+0x³+9x²+2x-2
=10x³+11x²+2x-13
Answer:
19
Step-by-step explanation:
If Catriona has 16 more stickers than Peter than the only thing you have to do is subtract and find the difference
Answer:
813 = 800 + 10 + 3 = (8 
) + ( 1
) + ( 3 
)
Step-by-step explanation:
i) 813 = 800 + 10 + 3 = (8 ) + ( 1 ) + ( 3 )
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
Because the arrow is pointing to the left, the answer to the solution set needs to be less than the the number the dot is on.
A solid dot on a number means that that number is included in the solution set.
In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.
The answer is:
{x | x ≤ 4.5}
