Given: y ′ − 2y =a. draw a direction field for the given differential equation. b. based on an inspection of the direction field, describe how solutions behave for large t. c. find the general solution of the given differential equation, and use it to determine how solutions behave as t → [infinity].

2. y'-2y=t2 e2t

3. y'+y=te to the -t+1

4. y'+(1/t)/y=3cos2t, t> 0

5. y'-2y=3e to the t

9. 2y'+y=3t

10. ty'-y=t squared to the -t, t> 0

12. 2y'+y=3t squared

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

How do you do the foil method with polynomials?

The equation line of cd is y=-2x-2. write an equation of a line parallels to line cd in slope-intercept form that contains point (4,5)