<span>Since each population is represented by the area then the area is equal to the population of whatever city. So the are of the Texas circle is 28,240,245 and that rounded of to the nearest tenth is 28,240,250. To find the radius of whatever city you must use the formula for find area of a circle which is A = πr^2, where r is the radius. Make the r the subject of the formula, to do that you divide both sides of the equation by π, this will make the π on the right side cancel out and the final equation will be
A/Ď€ = r^2, then square root both sides to get rid of the squared exponent on the r then the final equation will be sqr(A/Ď€) = r. So you replace the A with the area or the population of the city want in this case Texas, you will end up with this equation, sqr(28,240,250/Ď€) = r. The radius of the Texas circle is 2998.19 but that rounded to the nearest tenth is 3,000.</span>
Answer:
The polynomial is an approximation with an error less than or equals to <em>0.002652</em> for x in the interval
[-1.113826815, 1.113826815]
Step-by-step explanation:
According to Taylor's theorem
with
for some c in the interval (-x, x)
In the particular case f
<em>f(x)=cos(x)
</em>
<em>
</em>
we have
therefore
and the polynomial approximation of T5(x) of cos(x) would be
In order to find all the values of x for which this approximation is within 0.002652 of the right answer, we notice that
for some c in (-x,x). So
and we must find the values of x for which
Working this inequality out, we find
Therefore the polynomial is an approximation with an error less than or equals to 0.002652 for x in the interval
[-1.113826815, 1.113826815]
Answer:
Step-by-step explanation:
i need help on this
Answer:
a. 1/3
Step-by-step explanation:
y=x/3-5 (rewrite x - term)
y = (1/3) x + 5
recall that in the slope-intercept form of a linear equation y = mx + b
m is the slope.
In our case, we can clearly see that slope m = (1/3)