Answer:
A and C
Step-by-step explanation:
Answer:
x = 25
Step-by-step explanation:
The triangle is isosceles, therefore, the base angles are the same
62 + 2x + 9 + 2x + 9 = 180
62 + 4x + 18 = 180
4x = 180 - 62 - 18
4x = 100
x = 100/4
x = 25
First number = x
Second number = x + 2
Third number = x + 4
X + x +2 + x + 4 = 438
Simplify:
3x + 6 = 438
Subtract 3 from both sides
3x = 432
Divide both sides by 3
X = 144
The second number is 144 + 2 = 146
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:
1st
Step-by-step explanation:
The two triangles are similar by AA
Firstly, we can see that angle LKM and QKR are congruent as they are vertical angles.
The second set can be identified by noticing that RM is a transversal through 2 parrallel lines LM and QR. That manes QRK, and LMK alternate interior angles, showing that the angles are congruent. Hence similarity by AA
