A sample of math homework help

Hi Larry!

How are you? I hope that you had a great Xmas. I have a few questions I need help with, please!

Q1: dIFFERENTIATE THE FOLLOWING FUNCTION. YOU DO NOT NEED TO SIMPLIFY YOUR ANSWER

Y = ln(2 - root of x)
(x2 + 3)

Q2: GIVEN f(x) = 5 - e-2x
A) CAREFULLY SKETCH GRAPH OF F. FIND ALL INTERCEPTS AND EQUATIONS OF ALL ASYMPTOTES FOR THE GRAPH OF F. IDENTIFY ALL THIS INFORMATION ON YOUR GRAPH.
B) DRAW IN BY HAND THE TANGENT LINE TO THE GRAPH OF F WHEN X=0. DETERMINE ITS EQUATION.

Q3: THE CONCENTRATION OF 100MG OF A DRUG IN THE BLOODSTREAM CAN BE MODELLED BY THE FUNCTION C=te-4t
t>or = to 0, where C is the concentration of the drug in milligrams per 100 millilitres, t hours after the drug is injected into bloodstream.

find the maximum value of the concentration and when it occurs.


W4: dhaka bangladesh has a population of 4.22 million people in 1990. at that time it was estimated that the population P was growing exponentially at the rate of 4.3% per year, meaning that the population P satisfies the equation dP = 0.043P,
dt
where t is the number of years after 1990.

WHEN WILL THE POPULATION OF DHAKA DOUBLE IN SIZE FROM THE 1990 recorded figure?


thanks Larry ...I owe ya,