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.

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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?