13. [-/1 Points] DETAILS LARCALC11 4.1.065.MI. MY NOTES ASK YOUR TEACHER P 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. . x(t) = +3 - 12t2 + 21t - 7, Osts 10 (a) Find the velocity and acceleration of the particle. x' (t) x" (t) = (b) Find the open t-intervals on which the particle is moving to the right. (Enter your answer using interval notation.) (c) Find the velocity of the particle when the acceleration is 0.G C G 5. [-/1 Points] DETAILS LARCALC11 4.1.029. MY NOTES ASK YOUR Find the indefinite integral. (Use C for the constant of integration.) ( 9 cos * + 2 sin * ) dx Need Help? Read It Watch It 6. [-/1 Points] DETAILS LARCALC11 4.1.037.MI. MY NOTES ASK YOUR Find the particular solution of the differential equation that satisfies the initial condition. f' ( x) = 8x, f(0 ) = 9 f ( x ) = Need Help? Read It Master It MY NOTES ASK YOUR 7. [-/1 Points] DETAILS LARCALC11 4.1.043.MI. Find the particular solution of the differential equation that satisfies the initial condition(s). f" ( x ) = x-3/2, f ' ( 4 ) = 1 , f ( 0 ) = 0 f ( x ) =3. [-/1 Points] DETAILS LARCALC11 4.1.016. MY NOTES ASK YOUR TEACH Find the indefinite integral and check your result by differentiation. (Use C for the constant of integration.) (2 - 1) dx Need Help? Read It 4. [-/1 Points] DETAILS LARCALC11 4.1.021.MI. MY NOTES ASK YOUR TEACH Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.) 18x 2 dx Need Help? Read It Watch It Master It1. [-/1 Points] DETAILS LARCALC11 4.1.007.MI. MY Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integration.) dy = 27+2 dt y = Need Help? Read It Watch It Master It 2. [-/1 Points] DETAILS LARCALC11 4.1.013. MY N Complete the table to find the indefinite integral. (Use C for the constant of integration.) Original Integral Rewrite Integrate Simplify 1 X dx X dx + C X VX Need Help? Read It9. [-/1 Points] DETAILS LARCALC11 4.1.056.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days (0 s t s 10) as shown below. dp = KVt dt The initial size of the population is 100. After 1 day the population has grown to 800. Estimate the population after 9 days. (Round your answer to the nearest whole number.) bacteria Need Help? Read It Master It MY NOTES ASK YOUR TEACHER PRACTICE ANOTH 10. [-/1 Points] DETAILS LARCALC11 4.1.058. Assume the acceleration of the object is a(t) = -32 feet per second per second. (Neglect air resistance.) With what initial velocity must an object be thrown upward (from ground level) to reach the top of a national monument (590 feet)? (Round your answer to three decimal places.) ft/sec Need Help? Read It PRACTICE ANO MY NOTES ASK YOUR TEACHER