Find A and B so that f(t) is continuous everywhere.
The Attempt at a Solution
Well, I wouldn't be posting if I wasn't lost, but I will tell you what I've tried. I know that I have to set the middle equation equal to either the first or third and solve for A or B. However, if I set the middle equation equal to the first one and then plug in t = 0, it ends up canceling out the entire one side. So then I've tried setting the middle equation equal to the third equation and plugging in t = 5 to solve for B and I end up with B = (46 - 6sin(5A))/5. I'm probably doing something incorrectly.
I know that for these types of problems you solve for the one variable and then you plug it back in to solve for the other one, but I don't think I'm doing this particular problem correctly. Any guidance would be appreciated. Thanks.
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