Answer:
a = -0.3575
Step-by-step explanation:
The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.
The points A and B are located where
This gives
Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e
Thus the coordinates of B are:
Now this point B lies on the parabola, and therefore it must satisfy the equation 
Thus
Therefore
1. I suppose the ODE is supposed to be
Solving for 
gives
which is undefined when 
. The interval of validity depends on what your initial value is. In this case, it's 
, so the largest interval on which a solution can exist is 
.
2. Separating the variables gives
Integrate both sides. On the left, we have
where we substituted 
- or 
- and 
- or 
.
On the right, we have
So
I'll leave the solution in this form for now to make solving for 
easier. Given that 
, we get
and so our solution is
Answer:
what grade
Step-by-step explanation:
to know the rule
The greatest possible error in a measurement is the greatest number which is allowed for approximation assuming the number is obtained by approximation.
The greatest possible error is usually half of the place value of the last digit of the number.
Given the measurement of
oz.
This is equivalent to 11.125 oz.
The place value of the last digit (i.e. 5), is thousandth or 0.001
Therefore, the greatest possible error of
oz is 0.001 / 2 = 0.0005 oz
There is a 12 degrees difference in percentage for the temperature.
