Find the area enclosed by the two curves using your calculator

Find the area enclosed by the two curves using your calculator

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial covers the process of defining and graphing two functions, Y1 and Y2, and finding their points of intersection using a calculator. It explains how to store these intersection points and evaluate integrals based on the functions. The tutorial emphasizes the importance of understanding which function is above the other and how to use a calculator effectively for these tasks.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for Y1 as defined in the video?

X divided by X squared

X divided by the square root of X squared plus 1

X squared plus 1

X to the fourth minus X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which tool is used to find the intersection points of the functions?

Ruler

Protractor

Calculator

Graph paper

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the point (0,0) in the context of the functions?

It is the maximum point of Y1

It is the intersection point of Y1 and Y2

It is the minimum point of Y2

It is the point where Y1 equals zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function is above the other on the graph according to the video?

Y1 is below Y2

Both are at the same level

Y2 is above Y1

Y1 is above Y2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the end behavior of the function X to the fourth minus X?

It oscillates

It remains constant

It goes down and down

It goes up and up

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the integral being evaluated in the video?

The integral of Y1 from 0 to a

The integral of Y2 from 0 to a

The integral of Y1 minus Y2 from 0 to a

The integral of Y2 minus Y1 from 0 to a

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to use the correct order of functions in the integral?

To make the calculation easier

To simplify the graph

To ensure the result is positive

To avoid using a calculator