00:01
The first thing i need to do is see where these two curves intersect each other.
00:04
And what i notice is, like right here is a value of 1, and this other function.
00:12
And they even tell you, like, hey, this is y equals sine of x squared.
00:17
And i use the calculator over here as y equals 1 minus x cubed.
00:22
Just double checking, yep.
00:24
So what i need to do is find this point of intersection.
00:26
So just a little arrow in here.
00:29
And i'm going to use a b is equal to my calculator came up with these decimals point seven six four nine seven two three and then the y value is point five five two three five one six and what i'm going to do is store those into my calculator so i'm going to store them but anytime i hit a i'm talking about that point or that value so on my home screen my value for x i can now store for a and my value for y i can now store in for b there we go i probably don't even need b but if i want the i'll go back to red green if i want the area it would be you know because this is x is zero so i'm going to to go from 0 to that 0 .7649.
01:28
But remember i'm hitting the a button in my calculator.
01:30
And i want to do the upper function minus my lower function in terms of x.
01:40
So math, end of rule, 0 to a of, forgot to hit the button, and i get an answer of 0 .534 because it says to to around a three decimal, so there we go.
02:06
What does the letter b want? the volume when we rotate about the x -axis.
02:12
So this time with the x -axis, we're gonna do the washer method...