Answer:
(-∞,0)∪(0,∞)
Step-by-step explanation:
The domain of a function is wherever the y values exist. The only time the y values dont exist in this function is when the denominator is zero. So the denominator does not exist at x=0, because that is when 4x = 0.
Answer:
Equation: y = 2.5x
Answer: 43.75 drawers
Step-by-step explanation:
Equation: 10 - 7.5 = 2.5 and when you subtract 2.5 until the Number of Drawers (x) is 0, then you get 0 for Total Volume (y), so y =2.5x+0 or y = 2.5x
Answer: Substitute 17.5 into x.
y = 2.5(17.5)
y = 43.75 drawers
Answer:
9x+4
Step-by-step explanation:
remove the parentheses
Answer:
40
Step-by-step explanation:
add 21 + 20
hope this helps :)
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