Expert: Richard J. Raridon - 10/30/2009

Question
I am 16 and a senior in high school.
My Problems (set 2):
[DN1] Find the slope of y=3x² at the point (-2, 12).
[DN2] How many vertical asymptotes exist for the function 1/(2sin²x)-(sinx)-1?
[DN3] The function f is a continuous function. Consider the function (this is a piecewise function) f(x)=(x²+bx) if x≤5 or (5sin(π/2*x)) if x>5. What does b equal?

Don’t say that these are the same problems b/c they’re not. I get very pissed off when any of you experts do not answer the questions b/c you “assume” these are the same problems I sent before.

Answer
I've never seen these questions before                                                        DN1 - -12
DN2 - I assume you mean 1/[2sin^2(x)-sin(x)-1]  so the function is infinite at pi/2, 5pi/2, 9pi/2, etc.
DN3 - sorry, I can't help with this one.