Suppose the interval ​[negative 3βˆ’3​,negative 1βˆ’1​] is partitioned into nequals=44 subintervals. What is the subinterval length Upper Delta xΞ”x​? List the grid points x0​, x1​, x2​, x3​, x4. Which points are used for the​ left, right, and midpoint Riemann​ sums?

Respuesta :

Answer: Ξ”x​ = 0.5

Step-by-step explanation:

We have the interval:

​[βˆ’3​, βˆ’1​]

and we partition it into 4 equal intervals.

first, the range of our interval is equal to the difference between the extremes, this is:

-1 - (-3) = -1 + 3 = 2

Then, if we divide it into 4, we have 4 segments with a range of:

2/4 = 0.5

Then the subinterval delta is 0.5, and the 4 intervals are:

​[βˆ’3​, -2.5​],  ​[βˆ’2.5, βˆ’2​],  ​[βˆ’2​, βˆ’1.5​],  ​[βˆ’1.5, βˆ’1​]