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Rewrite the following statements including the while-statement so it does the same calculation but uses only a for-statement: no while-statements are allowed: sum=0num = 1000while num > 500:   if num % 5 == 0:       sum = sum + num   num = num – 2  

Define a Python function check_sum (a, b, c) with three int arguments a, b, c. When called passing specific values for a, b, and c, your function should return True when the sum of any two of the three passed arguments is equal to the third argument.  Otherwise, your function should return False. For example, check_sum (1,2,3) should return True, since 1+2==3. check_sum (1,1,1) should return False, since 1+1 != 1.  

The potential energy for the interaction between the two atoms in a diatomic molecule is U = A/x12 – B/x6, where A and B are constants and x is the interatomic distance. The magnitude of the force that one atom exerts on the other is:

The potential energy of a body of mass m is given by U = –mgx + 1/2kx2. The corresponding force is:

The potential energy of a 0.20-kg particle moving along the x axis is given byU(x) = (8.0 J/m2)x2 – (2.0 J/m4)x4. When the particle is at x = 1.0 m the magnitude of its acceleration is:

The potential energy of a 0.20-kg particle moving along the x axis is given by          U(x) =(8.0 J/m2)x2 + (2.0 J/m4)x4.When the particle is at x = 1.0 m it is traveling in the positive x direction with a speed of 5.0 m/s. It next stops momentarily to turn around at x =

Categorization and clustering of documents during text mining differ only in the preselection of categories.

Descriptive analytics for social media feature such items as your followers as well as the content in online conversations that help you to identify themes and sentiments.

What does advanced analytics for social media do?

Write the partial fraction decomposition of each rational expression. a)