Determine the parametric equations
Determine the parametric equations of the lin parallel to the line of intersection of th two places, x+2y-z =4 and x-y+3z=6 and passes through the point (2,-3,5) ( show each step)
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Write down a regular expressioin for (a) the language A of binary strings whose length is divisble by three; (b) the language B of all binary strings that do not contain two consecutive 1's.
Let p be the smallest prime dividing a postive integer n. Prove n is the product of two primes is p^3 > n.
Determine an equation of the line that contains the point (5, -3, 1) and that is orthogonal to the plane 2x+y-4z=5 (show every step)
Given the equation of plane and the parametric equations of line, discuss how you can find whether or not they are parallel.
Determine an equation for the plane that contains the three points (1,-2,1),(-3,1,6) and (7,-4,4) (show each step).
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At the reactor temperature and pressure, the equilibrium constant K = 4. If 60 moles of D is wanted, starting with 80 moles A, how B much is required? Determine the composition of the final product? Suppose no C or D are fed to the reactor.
1. Last year, nine employees of electronics company retired. Their ages at the retirement are listed below. Determine the mean retirement age, to the nearest year.
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