Unfortunately, you have not shared the point through which the curve passes. Would you please do that now.
Just supposing that the graph passes through the point (2,2) (which I have invented as an example):
Write the differential equation dy/dx = 2y. Rewrite this as dy/y=2dx. Integrating both sides, ln|y|=2x+ln|c| (where c is just a constant of integration).
Solving for y: ln|y|-ln|c|=2x, or ln|y/c|=2x
then y/c=e^(2x), or y=c*e^(2x). What is the value of c? To determine this, let x=2 and y=2:
2=c*e^(2[2]) after substituting the coordinates of the point (2,2). Then
2=ce^4, or c=1/[e^4].
Substituting this c into the solution,
y= (1/[e^4])e^[2x]
This solution can be used as is, or you could try simplifying it.
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Note that if your graph goes through some point other than (2,2), the correct answer to this problem will be different.
Answer:
1/100
Step-by-step explanation:
1% as a fraction is 1/100 simplified is 1/100
Answer:
In interval notation:
Domain: [1, 9]
Range: [2, 7]
Step-by-step explanation:
The domain of a function is all off the possible input (x) values, and the range is all of the possible output values (y). All of the input and output values are already given in the table.
Answer:
Step-by-step explanation:
I think its 15 I just subtracted the two numbers
Well your equation would be 40 = 2x + 16 so subtract 16 from both sides and that’s 24=2x then divide both sides by two so the length of the rectangle is 12.