1 For the function find all x values at which f x is not continuous and give a reason for each Show all work 3 413 4127455 22xxxxxxxxf 2 For the function find all x values at which f x is not differentiable and give a reason for each Show all work xxxxxxxxf1281042031 33 3 Find the vector component of the vector 4 6 in the direction of the vector 2 1 at 5 f 5 4 Find an equation of the tangent line to 5 Evaluate the limit Do not work it 6 Write out the limit definition of the derivative for out 32 3 5 xxfxxxxsin2 3 tanlim20 xexxf 2 7 Find the linear approximation to using a 8 8 Find the linear approximation to 9 Simplify 4at sec 2 axxf35 7 2tan arcsint 10 A curve is described parametrically by Find all values of t so that the tangent to the curve at x t y t is horizontal and all values of t at which the tangent is vertical 11 Find the derivative of each function 23233 2 tttytttx 1225 1ln 21arctan xexfbxxxxfa 12 Find the x coordinate s of the inflection point s of a b 45 xxxf xxxfln 4 13 Evaluate each limit xxxea10lim xxxxb 22lim 14 Find the most general antiderivative of each function c xxxxfbxxxfa 2 4 cos secsec 2xxxxf 15 The base of a right triangle is increasing at the constant rate of 2 cm s and the height is decreasing at the constant rate of 1 cm s a Find the rate of change of the angle between the base and the hypotenuse at the instant when the base is 6 cm and the height is 12 cm b If the base is initially 10 cm and the height is initially 20 cm find the maximum area on the interval 0 2 using three equal 16 a Find the Riemann sum for subintervals and the midpoints of the subintervals as evaluation points Sketch the rectangles and the graph over the interval 0 2 b Find the exact value of the area under xxf8 xxf8 17 Use geometry to evaluate for the function shown 42 dxxf xxxxxf02204 2 18 Evaluate the definite integral a b c 413dxexx 30sin dxx 121211dxx
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