How to use left hand riemann sums from a table

How to use left hand riemann sums from a table

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of uniformity and Delta X, focusing on calculating the left hand approximation using six intervals. It guides through setting up the intervals, determining the left endpoint's height, and summing the heights to approximate the area. The importance of showing the method is emphasized, and an example is provided to illustrate the process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of having a constant delta X in the context of uniformity?

It ensures equal spacing between intervals.

It is only important for right-hand approximations.

It allows for variable interval sizes.

It makes calculations more complex.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many intervals are used in the left-hand approximation discussed?

Four

Five

Six

Seven

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the left-hand approximation, which endpoint's height is used for calculations?

Middle point

Right endpoint

Left endpoint

Average of both endpoints

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sum of the heights used in the left-hand approximation example?

26

24

28

20

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to show the method used in calculations?

It makes the process more difficult.

It is not necessary.

It helps in verifying the results.

It is only required for exams.