Approximate (a) cos 0.8 and (b) cos 1/2 using the linear approximation technique

eft cos² Evaluate cos² (9x)dx.

Differentiate. H(t) = cos2(t)

A projectile Is shot from a cannon. The fixed parameters are the acceleration of gravity, g 9.8 m/sec4, and the muzzle velocity, vo = 500 m/sec, at which the projectile leaves the cannon. The angle 0, in degrees, between the muzzle of the cannon and the ground can vary. The time that the projectile stays in the air is 2v0 sin 180 seconds. 180 (0) = = 102 sin (a) Find the time in the air for 0 = 15° Round your answer to one decimal place. Time in air = i seconds eTextbook and Media (b) Find a linear function of othat approximates the time in the air for angles near 15 Specifically, fill in the missing numbers below for the local linearization of r at a = 15". Round your answers to one decimal place. 1(0) i i (0 - 15) seconds eTextbook and Media (c) Find (i) the time in the air and (ii) its approximation from part (b) for 16". Round your answers to one decimal place. (1) Time in air = i seconds. (ii) Approximate time in air = i seconds.