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Question: We have proved that every positive integer is a power of a prime number or a product of powers of prime numbers. Show that this factorization is unique in the following sense: If you have two factorizations of a positive integer, both factorizations use exactly the same primes, and each prime occurs to the same power in both factorizations. For this purpose, it is helpful to know that if a prime divides a product of integers, then it divides one of the integers in the product. (Another way to say this is that if a prime is a factor of a product of integers, then it is a factor of one of the integers in the product.)
Find the derivative of the following function- y = 3x-(3/2) + 6x-(1/2) + x3 - 6
An equilateral triangle (all angles and sides are equal) whose sides is 24 inches long is divided into n equilateral triangles whose sides are 1 inch. Find n.
John steps on an escalator to leave a subway. Then, 5 seconds later, Jane steps on a parallel escalator to enter the subway. They pass 14 seconds after that. If both escalators are travelling at a speed of 5 feet per second, what is the length of ..
(i) Set up a system of linear equations that can be used to determine whether or notthe set is linearly independent; (ii) Use your linear system to determine if the set is linearly independent or linearlydependent. Be sure to justify your conclusio..
What is the distance between the planes?
Find the velocity of the top of the ladder at time t=3.
find slope of direct variation eqation.1. y7x2. y0.75x3.
The cross-sections perpendicular to the v-axis are circular disks with diameters running from the y-axis to the parabola x = √15y2. Find the volume of the solid.
Suppose a firefly blinks at another firefly when they are 300cm apart. Every time the firefly blinks, the other one flies half the distance between them. After how many blinks are they less than 40cm apart?
A ball is thrown vertically upward with an initial velocity of 96 feet per second. the distance in feet of the ball from the ground after t second is s = 96t - 16t2. For what intervals of time is the ball less than 128 above the ground (after it i..
Would you agree that it is important for a hospitality institution to understand it's target demographics and market its' services towards that age group? As an example, if you were the manager of a hotel near Disney in Orlando,
1 how do graphical presentations reflect data type e.g. discrete and continuous random data?2 how can mean standard
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