Expressions as one fraction
Write down each of the following expressions as one fraction, such that numerator and denominator do not have any common factors.
a) 5x^2y^2 + x^2 / x / 5y^2 + 1/4x + 2y
b) (1+b)/5 + 3/a^3
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A multiplex movie theater calculates the week-end demand for afternoon shows to be D(p) = 1000-80p and demand for evening shows to be D(p) = 1000-50p.
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A machinist turns power on to grinding wheel, at rest, at time t = 0 s. The wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 38 rad/s. The wheel is run at that angular velocity for 30 s and then power is shut off.
A machinist turns the power upon to grinding wheel, at rest, at time t = 0 s. The wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 38 rad/s.
Assume Bob climbs stairs in his office for exercise. He will sometimes take two steps at the time. Let Cn be the number of manners that Bob can climb n steps. a) Provide a recurrence relation for Cn. Be sure to include the initial conditions. b)
There is the game with two players and they throw pair of dice. Player 1 wins if the sum is 7 as well as player 2 wins if the sum is 6. The stakes are split if neither player wins. Determine the expectation of each player? Assume the game continue
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