Please help ASAP. Need it for homework
1 answer:
Answer:
Speedy Taxis
Step-by-step explanation:
I solved this by using a graphing calculator. Speedy Taxis shows the least cost for x=30.
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You can figure the cost of each for x=30
1.5(30) = 45
1.1(30)+11.5 = 33+11.5 = 44.5 . . . . . lowest cost
1.25(30)+8 = 37.5+8 = 45.5
Speedy Taxis is the cheapest for a trip of 30 miles.
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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