
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
Answer:

Step-by-step explanation:
Since the question implies his truck travels at a constant distance per gallon, we can set up the following proportion to find how much father his truck can go.
Let
represent how much farther his truck can go, in kilometers:

Cross-multiplying, we get:

A) y= x+1
b) y= -2/3x-5
c) y=-1/2x+12
d) y= 4x-3/2
According to my calculations all the answers should be correct.
9514 1404 393
Answer:
103°
Step-by-step explanation:
The law of sines tells you ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(c/a·sin(A)) = arcsin(37/19·sin(30°)) ≈ 180° -76.8° ≈ 103°
Obtuse angle C is about 103°.
Hi there!
First we subtract 44-14 leaving us with 30. 5x6 = 30
Therefore, a member can visit a history museum 6 times to equal a total cost of $44.
In a different situation:
If the person has already paid the $14, and that doesn’t count as a visit, then a person would have to visit a museum 8 times to get a total of $45. Considering this is a real-world problem.
I hope this helps and have a good day :) !
~Angel