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Four commuter trains and three express buses depart from City A to City B in the morning, and three commuter trains and three express buses operate on the return trip in the evening. In how many ways can a commuter from City A to City B complete a daily round trip via bus and/or train?
The curve y = x^3 + x^2 - x has two horizontal tangents. Find the distance between these two tangents and draw a picture. Please show how to solve the following problem to the answer of 32/27.
Find and simplify the difference quotient for G(X)=1/x^2. HINT: After finding the difference quotient, simplify by using an LCD to combine the fractions.
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back substitution or Gauss-Jordan elimination. Explain steps and show work.
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
Perform six iterations and find absolute approximate error with exact solution. Also solve this system by Gauss elimination method with partial pivoting in order to get exact solution.
Solving probability problems based on empirical rule
In how many ways can the selection be made if no more than one ball point pen is selected?
Suppose that S and T are sets of size m and n, respectively. Choose a representation of these sets that makes it possible to implement Intersection(S,T), which returns S ? T , in time O((m + n) log m). Explain how the intersection is found and arg..
Find the potential alpha inflation
Carol and David decide to play a game as follows: Carol draws and keeps a card from a shuffled pack number 1 to 6.
Multiply and Simplify the given expression - Simplify the given experssion (2x - 3)(2x + 3) - (2x + 1) 2
Determine the probability on rating
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