Calculus Help?

Question

Can anyone help me with this problem,please?

S(x)={a+b[i]arc[/i]sin(tanx/tan66.30) when 0 24 when 66.30[less-than]x[less-than]90

Find a and b so that S(x) is continuous.

I have no clue what to do.

Can anyone help me with this problem,please?

S(x)={a+barcsin(tanx/tan66.30) when 0 {24 when 66.30[less-than]x[less-than]90

Find a and b so that S(x) is continuous.

I have no clue what to do.

Answer 1

[Answering problem now because it's been rewritten, better.]

You have two solutions for S(x), and they touch where x = 66.30 (which might mean 66.3 degrees, or it might mean 66 degrees 30 minutes = 66.5 degrees).

To make this continuous, you need to set x = 66.30, and make those two solutions equal to each other:

a + b arcsin(tan 66.30 / tan 66.30) = 24

a + b arcsin 1 = 24

a + b(pi/2) = 24

Any solution of that will do the job ... try a=24 and b=0. Or you could have a=0 and b=48/pi. Or anything in-between.

Answer 2

Ok i used to know how to do this, but that was two weeks ago...lol . Anywayi cant take you through all the process, but what you have to do is look at your special trig values (e.g. sin, cos, tan of 30, 45, 60, 90, etc.) and look fot plaes where theta= 0 or its undefined. This should get you started, then use your definition for the existance of a limit to find the continuity of the equation. I hope this helps! (i not the look up continuity of an equation)

Answer 3

i'm in sixth grade I don't know calculus I do know pre algebra and some algebra

Answer 4

do a websearch that should help

Answer 5

mathforum.org/dr.math