The given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem. Y = c1e4x + c2e−x, (−[infinity], [infinity]); y'' − 3y' − 4y = 0, y(0) = 1, y'(0) = 3.

An ecosystem is shown in the illustration. assume that human activities have led to a decrease in the number of eagles. a virus attack on rabbits has led to a decrease in their population in the ecosystem. which two sentences describe likely effects on the ecosystem? 1. there’s an increase in the number of snakes and insects and a decrease in the number of frogs. 2. there’s an increase in the number of snakes and insects, and the storks face increased competition for food. 3. there’s an increase in the number of storks and a decrease in the number of snakes and insects. 4. there’s an increase in the number of frogs and a decrease in the number of storks and insects. 5. there’s a decrease in the number of snakes, insects, and frogs.

Prompt what is your personal ideology? give your opinion on the three following topics. justify your support or opposition to each issue by using examples. issue one: should the government have the right to place a high tax on soda to discourage its consumption and fight teen obesity? issue two: should the government be allowed to monitor your actions on the internet to keep the nation safe from terrorism? issue three: should the government be allowed to outlaw texting while driving to keep drivers safer on the road?

Which of the answer is a characteristic of what osha calls "permit-required confined space? "