PLEASE HELP ME.... Solve for x. 1/4 (x-8)=10
1 answer:
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Answer:
a)
The combined resistance of a circuit consisting of two resistors in parallel is given by:
where
R is the combined resistance
are the two resistors
We can re-write the expression as follows:
Or
In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.
The derivative of R with respect to r1 is:
We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.
b)
To solve this part, we use again the expression for R written in part a:
We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,
So the interval of allowed values for r1 is
From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval
a ≤ r1 ≤ b
The maximum of the function (R) will occur at the maximum value of r1 in this interval: so, at
Answer:
The graph in the attached figure
Step-by-step explanation:
we have the equation of the line in point slope form
where
the point is (5,5)
the slope is m=1/5
Remember that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
so
<em>To graph the line</em>
1. Plot the point (5,5).
2. From that point, count right 5 units and up 1 unit and plot a second point.
3. Draw a line through the two points
so
The new point is (5+5,5+1) ----> (10,6)
Plot the points (5,5) and (10,6) and draw a line through the two points
The graph in the attached figure
