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1. Without using technology, find the derivative of: y = cos ( VX -=) 2. Use a limit to find a horizontal asymptote of f(x) = cos(x)+1 x-1 Remember to justify your answer and/or show evidence for your answer. 3. The motion of a spring that is subject to a frictional force or a damping force (such as a shock absorber in a car) is often modeled by the product of an exponential function and a since or cosine function. Suppose the equation of motion of a point on such a spring is s(t) = 12e-3t sin (2xt) where's is measured in centimeters and / in seconds. Without using technology, find the velocity after t seconds. 6 X if x 4 (a) lim x - -2-9(x) lim (b) x - -2+9(x) (c) lim x --2 g (x ) (d) g(4)