Math Answers

Prove that lim x-->oo ((11x+7)/(8-5x)) = -11/5 using the delta - epsilon definition of limits?

The average number of patients admitted per day to the emergency room of a small hospital is 2.5. If, on any given day, there is/are only 9 bed(s) available for new patients,
what is the probability that the hospital will not have enough beds to accommodate its newly admitted patients?

A garden snail travels at a speed of 2.8 × 10^−3 meters per second.

How far, in meters, would a garden snail travel in 90 seconds?

A small television has a picture with a diagonal measure of 10 inches and a viewing area of 48 square inches. Find the width and length of the screen.

Given that "n" is a positive integer, find
d/dx (x(lnx)^n)

In an experiment with a new tranquilizer, the pulse rates (per
minute) of 12 patients were determined before they were given
the tranquilizer and again 5 minutes later, and their pulse rates
were found to be reduced on the average by 7.2 beats with a
standard deviation of 1.8. At the level of significance 0.05,
do we have significant evidence that the mean pulse reduction
with this tranquilizer is less than 9.0 beats?

How to find the double point of the curve x^3 + y^3 - 3axy = 0 .?

The average number of traffic accidents on a certain section of highway is two per week. Assume that the number of accidents follow a Poisson distribution with μ = 2. Find the probability of at least 2 accidents on this section of highway during a week period.

Explain the various sampling techniques with example.

Integrate x(ln x)^2 dx