seperable differential equations will have the form
what you do from here is isolate all the y terms on one side and all the X terms on the other
just divided G(y) to both sides and multiply dx to both sides
then integrate both sides
once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it
In your problem,
so all you need to integrate is
I hope this helps you
x=0 f (0)=0^2+1=1
x=1 f (1)=1^2+1=2
x=2 f (2)=2^2+1=5
x=3 f (3)=3^2+1=10
Part A
The graph is shown below as an attached image.
The diagram shows a straight line that goes through the two points (0,-3) and (1, -5)
I'm using GeoGebra to graph the line.
side note: (0, -3) is the y intercept which is where the graph crosses the y axis.
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Part B
Answer is choice 2
The graph can be written in the form y = mx+b, so it is linear
In this case, m = -2 is the slope and b = -3 is the y intercept
We can write the slope as m = -2 = -2/1. This tells us that we can move down 2 units and then over to the right 1 units to get from point to point. This process of "down 2, over to the right 1" happens when moving from point A to point B in the diagram below.
B= 60
To find b you must do the pythagorean theorem because it is a right triangle
65^2 - 25^2=b^2
3600=b^2
60=b
x= 18
To find x you must know that a triangle is made up of 180 degrees.
x= 180-(72+90)
x=180-162
x=18
hope this helped :)
