Calculus :

10-12

10. [0/0.05 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 2.3.013. Differentiate the function. A(s) = - 14 A'(S) = : Enhanced Feedback Please try again using the Constant Multiple Rule first and then applying the Power Rule. Note that 1 xt = x-t. Need Help? Read It Watch It Submit Answer 11. [-/0.05 Points] DETAILS SESSCALC2 2.3.015. Differentiate the function. R(a) = (7a + 1)2 R'(a) = Need Help? Read It 12. [-/0.05 Points] DETAILS SESSCALC2 2.3.016. Differentiate the function. y = Vx(x - 4)13. [10.05 Points] DETAILS SESSCALCZ 2.3.019.Ml. Differentiate the function. _4x2+4x+4 "a Need Help? 14. [-10.05 Points] SESSCALCZ 2.3.029. Find an equation of the tangent line to the curve at the given point. y = 4x2 - x3, (1, 3) Illustrate by graphing the curve and the tangent line on the same screen. Y 15 15. [-/0.06 Points] DETAILS SESSCALC2 2.3.031. Find the first and second derivatives of the following function. f(x) = 5x4 - 4x3 + 2x f'( x) = f"(x) = Need Help? Read It Watch It 16. [-/0.06 Points] DETAILS SESSCALC2 2.3.032. Find the first and second derivative of the function. G(r) = Vr+ Vr G'(r) = G"(r) = Need Help? Read It Watch It 17. [-/0.03 Points] DETAILS SESSCALC2 2.3.035. Find 91 dx 91 (sin x) . Need Help? Read It18. [-10.04 Points] SESSCALCZ 2.3.038. Find the points on the curve y = 2x3 + 3X2 12x + 1 where the tangent line is horizontal. (x, y) = (|:| ) (smaller x-value) (x, y) = (|:| ) (larger x-value) Need Help? 19. [-10.08 Points] SESSCALCZ 2.3.043. The equation of motion of a particle is s = t3 3t, where s is in meters and t is in seconds. (Assume t 2 0.) (a) Find the velocity and acceleration as functions of t. (b) Find the acceleration after 3 s. m/s2 (c) Find the acceleration when the velocity is 0. m/s2 Need Help? 20. [40.08 Points] SESSCALCZ 2.3.044. The equation of motion of a particle is s = 3t3 - 8t2 + 31* + 2, where s is in meters and t is in seconds. (a) Find the velocity and acceleration as functions of t. V(f) = m/s 2 5(t) = m/s (b) Find the acceleration after 2 5. 5(2) = m/s2 (c) Graph the position, velocity, and acceleration functions on the same screen