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1) Calculate the integralsa) integral of (x^3/2 -5x)/(sqrt(x))b) integral of ((x^3 +x)^10 * (3x^2+1))2) Starting with 500 bacteria ,a colony grows with a rate proportionnal to its total . It has 800 bacteria after 3 hoursa) Determine the expression that gives the number of bacteria in function of time b) What is the number of bacteria after 4 hours?c) How much time is necessary for having 30 000 bacteria?
How many bit strings of length 7 are there? Explain. How many bit strings of length 7 are there which begin with a 0 and end with a 1? Explain. How many bit strings of length 7 is there that contain an even number of ones? Explain.
Suppose T is a Mobius transformation such that the image of the real axis under T is the real axis. Prove that T may be written in the form T(z) = (az+b)/(cz+d) with a, b, c, and d real.
Pick two data points predicted by the research model a(t) to construct a new exponential model b(t) for the number of cumulative AIDS cases. Discuss how the two models differ and explain the use of the word "relief".
A game consists of drawing 2 cards, one at a time, with replacement, from a standard deck of 52 cards. What is the probability of drawing two kings?
I know the discounted value of the stock and I want to know what the value of the stock was before the discount. The stock was discounted 15%.
A swimming pool is circular with a 30-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whol..
In your own line of work, give one example of a discrete and one example of a continuous random variable, and describe why each is continuous or discrete.
If they are taken out seven at a time, no eggs will be left over. Find the least number of eggs that could be in the basket.
The answer to finite abelian group, Suppose that G is a finite Abelian group and G has no element of order 2. Show that the mapping g-->g^2 is an automorphism of G.
Each fan gets a free bat, which costs the team $3.25 per bat. How many tickets must be sold for the team to break even on holding a game?
if q is the number of quarts lemonade, then 1/4 q can be used to find the number of cups of lemonade mix needed to make the lemonade. how much mix is needed to make each amount of lemonade? 2 quart 8 quarts
Explain what is meant by a universal set. Give a real world example of two universal sets. Be sure to first clearly define the two sets.
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