Approximate Lf (P) = Uf (P) = 10 √6²⁰ |× - 9 | x - 9 dx, by computing Lf (P) and Uf (P) for the partition P = {8, 8.5, 9, 9.5, 10}.

If P(x) = x +x+4, find P(8). P(8) =

A snack company is preparing two mixtures of snacks from a supply of 110 pounds pretzels, 30 pounds pistachios, 10 pounds cheese puffs, 60 pounds sesame sticks, and 20 pounds toffee bites. Mixture X contains 55% pretzels, 20% pistachios, 5% cheese puffs, 20% sesame sticks, and no toffee bites, and sells for $7.99 per pound. Mixture Y contains 45% pretzels, 10% pistachios, no cheese puffs, 10 % sesame sticks, and 15% toffee bites, and sells for $5.99 per pound. If x = # of pounds of Snack X and y = # of pounds of Snack Y, determine the constraints on this linear programming problem. Inequality for pretzels [ Choose ] Inequality for pistachios ( Choose] Inequality for cheese puffs ( Choose ) Inequality for sesame sticks [Choose ] Inequality for toffee bits [ Choose ) Non-negativity inequalities [ Choose ] >

Find the greatest common divisor of p(x) = x^3 + x^2 − 4x + 4 andq(x) = x^3 + 3x − 2 in Z5[x].