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A vitamin company produces supplements for anyone who enjoys athletic activities. Two of their products are the SimplyProtein Nutrition Bar and the Myoplex Deluxe Shake. One SimplyProtein Nutrition Bar contains 33 grams of protein, 300 calories, 13 grams of sugar, and 45 milligrams of sodium. One Myoplex Deluxe Shake contains 42 grams of protein, 300 calories, 2 grams of sugar, and 450 milligrams of sodium. An athlete is preparing for the Shamrock Shuffle 8K race in Chicago. He is planning to use the SimplyProtein Nutrition Bar and the Myoplex Deluxe Shake in his training. He wants to maximize his protein intake daily while keeping his calories under 1500, sugar under 32 grams, and sodium under 1845 milligrams. How many bars and shakes should he consume daily while maximizing his protein intake? What is the maximum daily protein intake?
Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.
This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.
This assignment has questions related to probabiltiy.
Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.
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Find the natural domain of the given functions.
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De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.
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Complex problems
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