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1. Find the standard (slope-intercept form) equation of the tangent line to the function f(x) = vx + 9 at the point where x = 0. 2. A billiard ball is hit and travels in a straight line. If s centimeters is the distance of the ball from its initial position at t seconds, then s = 100t2 + 100t. If the ball hits the cushion at 39 cm from its initial position, at what velocity does it hit the cushion at that particular instant? (Hint: Determine first the time when s = 39 and find the instantaneous velocity at this time.) 3. Is the function defined by f(x) = (x - 3 if x s 2, ( x2 + 1 if x >2 continuous at x=2? Differentiable at x=2? Show how you arrive at your answer. 4. Find the derivative of each of the following function: a. f(t) = 9ti + 2 b. g(m) 3m-m3 m2+1 c. y=ex +xtee d. y =- - sinx cscx 5. Find the point on the line y = 3x - 1 closest to the point (-1, 1)