Question

1. The number of computers infected by a virus t minutes after it first appears usually increases exponentially. In 2000, “Love Bug” virus spread from 100 computers to about 1,000,000 computers in 2 hours (120 minutes).

a) Find the growth rate k.

b) Give the differential equation for the number P(t) of computers infected after t minutes.

c) How fast was the virus spreading when 1,000,000 computers were infected?

2. Find the slope of the tangent line to the graph of ?=???/?^2 at the point x=1. (y= lnx over x squared)

3. An investment of $5,000 earns 6% interest compounded continuously.

a) Give the exponential growth function for the amount A(t) in the account after t years.

b) How long will it take the investment to triple?

Answer #1

1) In a bacterial culture, the number of bacteria, f(t), is
defined by the equation f(t) = Be0.02t where B is a constant, and t
is the time elapsed in minutes the initial number of bacteria is
1000 . Note: initial number of bacteria means the number at the
start or t = 0 A. compute for the constant B B. determine the
number of bacteria after 50 minutes
2) In a certain bacterial culture the number of bacterial cells...

Please answer the following Case
analysis questions
1-How is New Balance performing compared to its primary rivals?
How will the acquisition of Reebok by Adidas impact the structure
of the athletic shoe industry? Is this likely to be favorable or
unfavorable for New Balance?
2- What issues does New Balance management need to address?
3-What recommendations would you make to New Balance Management?
What does New Balance need to do to continue to be successful?
Should management continue to invest...

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