Team 11

1. (WW4, Q20)--> You have to use the exponential variable which we have not covered... A 0.6 ml dose of a drug is injected into a patient steadily for 0.4 seconds. At the end of this time, the quantity, Q, of the drug in the body starts to decay exponentially at a continuous rate of 0.55 percent per second. Using formulas, express as a continuous function of time, t, in seconds.

2.Prove that is continuous at 0 if and only if lim (h-->0) f(a+h) = f (a )

3.Estimate the horizontal asymptote of the function F(x ) = 3x^3 + 500x^2 / x^3 + 500x^2 + 100x + 2000 by graphing for -10< or = x < or = 10. Then calculate the asymptote by evaluating the limit. how do you explain the descrepancy?

4.Do we need to find the equation to a tangent line of a curve? If so, how do we do this?

5. How do you find a diagonal Asymptote?

6.Find the vertical and horizontal asymptotes of e^1/x. Again how do we compute e??