If you're just integrating a vector-valued function, you just integrate each component:


The first integral is trivial since
.
The second can be done by substituting
:

The third can be found by integrating by parts:



Lets say that the first number is x and the second number is y.
from the question we know that:
y=-3x and x+y=-4
from there, you need to replace the y in the second equation with -3x since we know that is what y equals so we can have an equation with only one variable.
x+-3x+-4
Then you solve for x.
-2x=-4
x=2
then you find y with the fact that y=-3x
y=-6
So lets ABCD are the sides of the square and AB=CD, AC=BD and the Angle ABC = 90 so therefore by making a diagonal we can use the SAS or SSS congruency for two triangles, so we can prove two triangles are equal and that is why the shape is square.
Answer:
b=85º
a=20º
Step-by-step explanation:
Angle B is supplementary with the 45º and the 50º angle, therefore the sum of the three angles must be 180
45+b+50=180
95+b=180
b=85º
Angle A, Angle B, and the 75º angle must also add up to 180
85+75+a=180
160+a=180
a=20º
Answer:
35 angle
Step-by-step explanation:
sorry i don't have time