Answer:
-14
Step-by-step explanation:
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.
\
Note that if your graph goes through some point other than (2,2), the correct answer to this problem will be different.
X^3 -2x^2 -35x
=x(x^2-2x-35)
=x(x-7)(x+5)
Answer:
Step-by-step explanation:
Pictured is a normal distribution curve. The mean is in the middle and each line going from the middle is either adding or subtracting the standard deviation. Our mean is 10, so 10 goes in the middle, and the line to the right of 10 is 10+1.5=11.5. The next line to the right of that is 11.5+1.5=13. The line to the right of that is 13+1.5=14.5.
To the left of the mean we have 10-1.5=8.5. To the left of that we have 8.5-1.5=7. To the left of that we have 7-1.5=5.5. You can see in the image what the percentage is within each separation. From a size 7 to a size 13 we have the percentages 13.5+34+34+13.5=95%
In the greater realm of things, this statistic tells a shoe store manager that since 95% of men polled wear a shoe size between 7 and 13, it would be cost efficient for him to keep an abundance of these sizes on hand. The greatest majority of men polled (68%) wear from a size 8.5 to a size 11.5.
I'm actually pretty sure it's B