
Canada Form AB-3 - Alberta 2017-2025 free printable template
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In this video we'll look at 2005 a b1 from form from the form be test it's another area of volume free response question, so we have these two functions f of X and G of X get fined as they are in the problem here and r is the shaded region in the first quadrant and closed by the graphs of F and G as shown in the figure above the first thing that we want to do is to find the area of our, so before we can do that however we do need to find the points of intersection here, so we're going to have to use the calculator to do that, so I'll bring up the graphing calculator, and we start off with y1 being 1 plus sine of 2x and go on to enter y 2 is equal to e to the x over 2 power and since f of X or Y 1 is on top the area is just going to be y y1 minus y2 we still need to find the points of intersection here, so I'm going to go out to zoom standard see if that gives us a good window to see this not too good, so I'm going to adjust my window instead to go negative 3 2 3 4 both x and y, and we'll take a look at that all right, so we can see the area between the two curves in the first quadrant that we're interested in, and I'm going to find my points of intersection second call option 5 4 intersect and the first curve is the sine curve second curve is the exponential curve and guess we get essentially that's x equals 0 it's negative eight point four seven times 10 to the negative 16, so that's the point 0 commas 1, and we'll go on from there to find the other point of intersection so second call option 5 moves a little off to see which curve one we're on the sine curve, so that's the first curve second curve we just want to make sure we're closer to the second point of intersection then to the first, and it will automatically gravitate to that one so the x value is 1.1 369, and so i have I write those points of intersection down on the curve i have x is equal to one point one three five six nine and y is equal to 1 point 7 6 for 46, and I'll show you how we can especially the x coordinate we're interested in I'm going to go back out to the home screen and here I'm going to just say X and if you wanted to see what that was that is the 1.1 3569 etc I'm going to do X store into a and that just saves that value, so I don't have to type it in all over again alright, so we're going to the 0 and 1 are fine, but the other two are a little more complicated and I can do the same thing with y and so why is just above the one and notice that's the 1.7 6-4 4-6 etc so i can do y and store that into letter B now it's already and why but what happens is that whenever the calculator both the X and the y variables are system variables, so they're used and if they get used again before we need them they'll get overwritten with a different value, so we have the values we want stored in a and B and I can even write that on to my worksheet and from this point on i can simply reference those constant values instead of writing those whole numbers out or typing them into the...
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