Consider the IVP fraction numerator d y over denominator d x end fraction minus 3 x equals 2 y satisfying y (0 )equals 1 fourth. What would be the appropriate fraction numerator d y over denominator d x end fraction equals g (x comma y )using Euler's method to approximate its solution, y equals f (x )

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?

Prove that 16^4-2^13-4^5 is divisible by 11.

Dana wants to identify the favorite professional baseball team of people in her community. she stands outside a local sporting goods store and asks every other person who enters, "what is your favorite professional baseball team? " will the results of her survey be valid? explain.