5 to 8 quiz

5. [-/10 Points] DETAILS LARCALC11 4.1.040.MI. MY NOTES ASK YOUR TEACHER Find the particular solution of the differential equation that satisfies the initial condition(s). f' (s) = 125 - 453, ((3) = 5 A(s ) = Submit Answer 6. [-/10 Points] DETAILS LARCALC11 4.1.055. MY NOTES ASK YOUR TEACHER An evergreen nursery usually sells a certain shrub after 9 years of growth and shaping. The growth rate during those 9 years is approximated by dh/dt = 1.4t + 7, where t is the time in years and h is the height in centimeters. The seedlings are 19 centimeters tall when planted (t = 0). (a) Find the height after t years. h (t ) = (b) How tall are the shrubs when they are sold? cm Submit Answer 7. [-/10 Points] DETAILS LARCALC11 4.1.067. MY NOTES ASK YOUR TEACHER Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x"(t) is its acceleration. A particle moves along the x-axis at a velocity of v(t) = 3/Vt, t > 0. At time t = 1, its position is x = 9. Find the acceleration and position functions for the particle. a(t) x(t) =