3. [-/1 Points] DETAILS LARCALCPRECALC3 11.4.014. Find the derivative of the function. f(x) = arcsin(3x) + arccos(3x) f ' ( x ) = Need Help? Read It 4. [-/1 Points] DETAILS LARCALCPRECALC3 11.4.017.MI. Find the derivative of the function. y = 4 arcsin * ) - xV 4 -x2 y's Need Help? Read It Master It 5. [-/1 Points] DETAILS LARCALCPRECALC3 11.4.018.MI. Find the derivative of the function. y = _ XV4 - x2 + 4 arcsin()] y' ( x ) = Need Help? Read It Master It6. [-/1 Points] DETAILS LARCALCPRECALC3 11.4.022. Find the derivative of the function. y = arctan 2(x2 + 49 ) y' ( x ) = Need Help? Read It 7. [-/1 Points] DETAILS LARCALCPRECALC3 11.4.035.MI. Find an equation of the tangent line to the graph of the equation at the given point. x2 + x arctan(y) = y - 1, (-7/4, 1) y = Need Help? Read It Master It 8. [-/1 Points] DETAILS LARCALCPRECALC3 11.4.038.MI. Find an equation of the tangent line to the graph of the equation at the given point. arctan(x + y) = yz + 7/4, (1, 0) y = Need Help? Read It Master It9. [-I3 Points] DETAILS LARCALCPRECALC3 11.4.049.MI. An airplane flies at an altitude of 5 miles toward a point directly over an observer. Consider 9 and x as shown in the figure below. No! dmwn la malt (a) Wri:e 6 as a function of x. 900 = (b) The speed of the plane is 396 miles per hour. Find d6/dt when x = 10 and X = 5. (Round your answers to three decimal places.) whenx = m 3: =:] rad/h when x = 5 if? =[:] rad/h Need Help? 10. [-/4 Points] DETAILS LARCALCPRECALC3 11.4.051. In a free-fall experiment, an object is dropped from a height of h = 256 feet. A camera on the ground 500 ft from the point of impact records the fall of the object (see figure). :L____ _____,__Q_. {dmbl h'mdmmmmie (a) Find the position function that yields the height of the object at time 1' assuming the object is released at time t = 0. h(t) = At what time will the object reach ground level? (Round your answer to three decimal places.) (b) Find the rates of change of the angle of elevation of the camera when t = 1 and t = 2. (Round your answers to four decimal places.) 9'(1)= :] rad/sec 9'(2) = :] rad/sec Need Help? _ 11. [-/1 Points] DETAILS LARCALCPRECALC3 11.4.052. MY NOTES A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. Let 0 be the angle of elevation of the shuttle and let's be the distance between the camera and the shuttle (see figure). Write 0 as a function of s for the period of time when the shuttle is moving vertically. Differentiate the result to find de / dt in terms of s and ds / dt. = AP / Op ds / dt -750 m Need Help? Read It