You simplify the fraction by dividing 2 to the nominator and the denominator. So 24/2=12, 8/2=4, 6/2=3. You can only divide a root with a root number so in this case the root three doesn't get affected
2y+18=42
2y=24
y=12
Hope this helps!
Percentage decrease = d
h1 = 2950
h2 = 2550
d/100 = (h2-h1)/h1
d/100 = (2950-2550)/2950
d=13.56
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:
x ≅ 5.44864209
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.