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If you are able, typing answers and the work absolutely works! In fact it's better because I'm just checking answers and want to make sure

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If you are able, typing answers and the work absolutely works! In fact it's better because I'm just checking answers and want to make sure it's all right so just typing from a laptop or something works since I don't need a step by step you understand? thank you sm in advance I really appreciate it!!

image text in transcribed Update Ap Some acco available ur Calculus Writing Assignment: Initial Value Problems Each portion of a problem is worth 5 points. Total Points: 50 Answer each of the problems. Make sure to show all your work. Suppose f'(x) = 12v1+4x where f (0) = 5. 1) Find the general antiderivative, f (x). 2) Use the initial value to find f (6). 7.6 Acceleration due to gravity in feet per squared second is the constant function a(t) = -32. Suppose a projectile is launched from a height of 100 feet with an initial velocity of 40 feet per second. 3) Find the velocity function, v(1), for the projectile. 4) Find the vertical position function, y(t), for the projectile 5) When will the projectile hit the ground? Upd Som avail The population of a town grows at a rate defined by the differential equation =0.6t , where P is the population in thousands of people and t is the number of years. 6) Find the general solution to the differential equation. ()If the current population of the town is 20,000, what will the population be in 5 years? Suppose the differential equation by = 2"- where y(0) = 0. 8) Create a slope field the differential equation in a [0, 1] x [0, 1] viewing window. ) Sketch a solution curve that passes through the point representing the initial value. 0) Use the solution curve through the initial value's point to approximate y(1)

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