Given the equation in the midterm y' = −2y +4, with initial value y(0) = 3, use Euler's method to find approximate value at t 1, 0.5,0.25 respectively. Compute = 1, using h = the approximation error for each h. Use calculator when needed.

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.

Find the distance traveled after 6 seconds by a particle whose velocity isv(t) = (t − 2) meters at t seconds.

Pre calc.10