Find the measure of x, then find the measure of each angle
1 answer:
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Answer:
a) integral = 24.72
b) |Error| ≤ 0.4267
Step-by-step explanation:
a)
The integral:
can be approximated with the midpoint rule, as follows:
6.7*(0.8 - 0.0) + 8.9*(1.6 - 0.8) + 6.9*(2.4-1.6) + 8.4*(3.2 - 2.4) = 24.72
(that is, all the intervals are 0.8 units length and f(x) is evaluated in the midpoint of the interval)
b)The error bound for the midpoint rule with <em>n</em> points is:
|Error| ≤ K*(b - a)^3/(24*n^2)
where <em>b</em> and are the limits of integration of the integral and K = max |f''(x)|
Given that -5 ≤ f''(x) ≤ 1, then K = 5. Replacing into the equation:
|Error| ≤ 5*(3.2 - 0)^3/(24*4^2) = 0.4267
Answer:
time is 6.76 years
Step-by-step explanation:
given data
amount = $150
payment = $100
rate r = 6% = 0.06
to find out
time period t
solution
we know it is compounding continuous
so we will apply here formula that is
amount = payment × ..........1
put here all value we get
amount = payment ×
150 = 100 ×
take ln both side
ln 1.5 =
0.40546 = 0.06t
t = 0.40546 / 0.06
t = 6.76
so time is 6.76 years
Answer:
Third Option: or
Step-by-step explanation:
or