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a sinx+b, if x 5 2n 4. Consider g(x) = 2 - TX + 2, if x > 21 A. Find the values of a and b such that g(x) is a differentiable function (12 points). a sch (2)th = (252) 2 _ neznitz derivatives Vercity that a cosx = 2X- 52 900 Should be Continues 04 + 6 - 452 2 - 252 21-2 must be = , so the a cosze = 2(252 ) - v right hand jinit at 6 = 252 2 + 2 function has a - un - n Same sore sot value B. Write the equation of the tangent line to g(x) at x = 21. (9 points) gu( x) at X= 2x is . ( 3 2sch + 252(+2 ) 9 ( 212) = 3nsin ( 2)+ 21 12 9 ( 212 ) - 20 at + 212 2 +2 9' (x ) - 302 ( COSA] g' ( 2n) = 352 ( Cos2 ). 4- (212-+2) = 302 ( 1 -252 ) 8' (2x) = 302 ( 1) 8'( 2x3 - 3skis dope of forgent like C. Use the tangent line equation from part B to write an approximation for the value of g(6). Do not simplify. (6 points) X = 6 ping cato tangent line 9 ( 0 = 212 2 +2 + 352 6-252 )