Hi there! I have 8 AP Calc Questions.

9. [-I1 Points] DETAILS LARHSCALCZ 2.4.054. MY NOTES PRACTICE ANOTHER Find the derivative of the function. 9(0) = (sin(99))9 9'09) = Need Help? 10. {-11 Points] DETAILS LARHSCALCZ 2.4.057.MI.SA. MY NOTES PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the derivative of the function. at) = 7 sec8 (7:: 1) Click here to beg Need Help? \f11. [-11 Points] DETAILS LARHSCALCZ 2.4.103. PRACTICE ANOTHER Find the slope of the tangent line to the sine function at the origin. Compare these values with the number of complete cycles in the interval [0, 21:]. What can you conclude about the slope of the sine function sin ax at the origin? The slope of sin ax at the origin is |:| . 12. [-11 Points] DETAILS LARHSCALCZ 2.4.110. MY NOTES PRACTICE ANOTHER Evaluate the derivative of the function at the given point. Use a graphing utility to verify your result. (If an answer is undefined, enter UNDEFINED. Round your answer to three decimal places.) y = \\5/813 +9.1; (3, 3) m3) = :1 Need Help? 13. [-11.08 Points] DETAILS LARHSCALCZ 2.4.127.M|.SA. MY NOTES PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Determine the points in the interval (0, 21:) at which the graph of the function below has a horizontal tangent line. f(x)=8cosx+4sin2x Click here to beg Need Help? 14. [I1 Points] DETAILS LARHSCALCZ 2.4.129. MY NOTES PRACTICE ANOTHER Find the second derivative of the function. f(x) = 5(8 20\" f "(x) = Need Help? 15. [I1 Points] DETAILS LARHSCALCZ 2.4.167. MY NOTES PRACTICE ANOTHER The displacement from equilibrium of an object in harmonic motion on the end of a spring is given below, where y is measured in feet and t is the time in seconds. Determine the position y(t) and velocity v(t) of the object when t = 7r/8. 1 1 y = S cos(12t) E sin(12t) y(:r/8) = ft V(Jr/8) = I't/sec Need Help? 16. [-/1 Points] DETAILS LARHSCALC2 2.4.177. MY NOTES PRACTICE ANOTHER Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r'(1) and s'(4). (6, 6) 6 5 (6, 5) 4 (2, 4) 3 2 1 X 2 3 4 5 6 7 (a) r'(1) = (b) s'(4) = Need Help? Read It