Question: 4) Find the vertical position function, y(t), for the projectile. 5) When will the projectile hit the ground?7) If the current population of the town

 4) Find the vertical position function, y(t), for the projectile. 5)When will the projectile hit the ground?7) If the current population ofthe town is 20,000, what will the population be in 5 years?Thepopulation of a town grows at a rate defined by the differentialequation 0.6t , where Pis the dt population in thousands of peopleand t is the number of years.Suppose the differential equation = 21-1 dx where y(0) = 0. 8) Create a slope field thedifferential equation in a [0, 1] x [0, 1] viewing window.9) Sketcha solution curve that passes through the point representing the initial value.l10) Use the solution curve through the initial value's point to approximate
y(1) 7) Sketch a slope field for the differential equation dy =x' -2x at the indicated points. dx X -2 -18) Sketch aslope eld for the differential equation % = 2" at the indicatedpoints. 9) A slope field is given for a particular differential equation.Sketch the solution that passes through the point (0, -1). X10) Aslope field is given for a particular differential equation. Sketch the solutionthat passes through the origin. X 1-2 0 - 2 -1image text in transcribedimage text in transcribedimage text in transcribed

4) Find the vertical position function, y(t), for the projectile. 5) When will the projectile hit the ground?7) If the current population of the town is 20,000, what will the population be in 5 years?The population of a town grows at a rate defined by the differential equation 0.6t , where Pis the dt population in thousands of people and t is the number of years.Suppose the differential equation = 21 -1 dx where y(0) = 0. 8) Create a slope field the differential equation in a [0, 1] x [0, 1] viewing window.9) Sketch a solution curve that passes through the point representing the initial value.l 10) Use the solution curve through the initial value's point to approximate y(1) 7) Sketch a slope field for the differential equation dy = x' -2x at the indicated points. dx X -2 -18) Sketch a slope eld for the differential equation % = 2" at the indicated points. 9) A slope field is given for a particular differential equation. Sketch the solution that passes through the point (0, -1). X10) A slope field is given for a particular differential equation. Sketch the solution that passes through the origin. X 1-2 0 - 2 -1

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