Adifferential equation of the form y prime (t )equalsf(y) is said to be autonomous (the function f depends only on y). the constant function yequals y 0 is an equilibrium solution of the equation provided upper f (y 0 )equals0 (because then y prime (t )equals0, and the solution remains constant for all t). note that equilibrium solutions correspond to horizontal line segments in the direction field. note also that for autonomous equations, the direction field is independent of t. consider the equation y prime (t )equals3 sine y .

a. find all equilibrium solutions in the interva

The data shown in the table below represents the weight, in pounds, of a little girl, recorded each year on her birthday. age (in years) weight (in pounds) 2 32 6 47 7 51 4 40 5 43 3 38 8 60 1 23 part a: create a scatter plot to represent the data shown above. sketch the line of best fit. label at least three specific points on the graph that the line passes through. also include the correct labels on the x-axis and y-axis. part b: algebraically write the equation of the best fit line in slope-intercept form. include all of your calculations in your final answer. part c: use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

You decide instead to take the train there. the train will take 135 minutes. convert this into hours and minutes.

Hardest math question of all time can you solve the equation. check for extraneous solutions.9∣9-8x∣ = 2x+3