7. An object is propelled upward at an angle 45° s x< 90°, to the horizontal with an tnitial velocity of vo feet per second from the base of a plane that make an angle of 45° with the horizontal. See the ilustration. If atr resistance is ignored, the distance R that tt travels up the tncltned plane is: R(0) = a) Show R(8) =. vỗ v2 cose(sin0 – cos®). 16 "5 v2 (sin(20) - cos(20) – 1] 32 14s. 6) Find the angle e that maximizes R by solving sin(20) + cos(20) = 0 c) What is the maxímum distance Rif v, = 32 ft/ sec? %3D

Find the terminal point P(x, y) on the unit circle determined by the given value of t. t = -. P(x, y) = (

Consider the function y = 4x + 3 between the limits of x = 0 and x = 7. a) Find the arclength L of this curve: L = Round your answer to 3 significant figures. b) Find the area of the surface of revolution, A , that is obtained when the curve is rotated by 27 radians about the x-axis. Do not include the surface areas of the disks that are formed at x = 0 and x = 7. A = Round your answer to 3 significant figures.

Q3 / b) Find dy : dx Y=cot+ (sinx)