The average is pretty simple to find. Add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
The answer to this specific question can be modeled as . After simplifying everything, you would get x
77, so Justin has to get at least a 77 to get a 75 average.
Answer: f(x)= has all real value as its domain.
Explanation: since, we have three functions f(x)=,
while g(x) and p(x) are line segments.
Now, g(x) is a function by a line segment which passes through two points (-1.8,-3) and ( 1,3.8).
Thus it is clear that its domain will be the ends points. so domain of the function g(x) will be [-1.8, 3.8] which is the subset of real numbers set (R).
Similarly, domain of function p(x) will be [1.7, 1], which is also the subset of R.
But, when we talk about f(x) it contains all the possible value of x. Thus we can say that has R as its domain.
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Answer: 34
I hope this helped!
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- Zack Slocum
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The area of the surface is given exactly by the integral,
We have
so the area is
We split up the domain of integration into 10 subintervals,
[0, 1/2], [1/2, 1], [1, 3/2], ..., [4, 9/2], [9/2, 5]
where the left and right endpoints for the -th subinterval are, respectively,
with midpoint
with .
Over each subinterval, we interpolate with the quadratic polynomial,
Then
It turns out that the latter integral reduces significantly to
which is about 651.918, so that the area is approximately .
Compare this to actual value of the integral, which is closer to 1967.