13 ) Use newtons method to find the third approximation to he root of X"- 2020, with initial approximation x, = 2. 1 x3 -] 14 ) Findan antiderivative of the function of fly ) =Ulxs on ( egos ) . (15 ) Find an antiderivative of the function flx ) = 2043 -( x2 +lox-9 . 16) Find the general antiderivative of the function of fly): 3x5 on (-09,co). Use ( as an arbitrary constant. (+ Find the general antiderivative of the function of f(x) : x"Mom (-op, as). Use C to clenote an arbitrary constant. 18 Use the linearity of the indefinite integral to evaluate : a ) / ( 3 x 5 + 4x ) dx = 6 ) J ( u" / s - 34 + 14 ) du =] ( 9) use the generalized paner me to evaluate. a ) ) ( x 3 + 3x ) ( 3x 7 + 3 ) dx = 6 ) S ( x3 + 4 ) x " dx = [ 20 ) Final the function Clax ) that satisfies the fullandy conditions : ('( )= 72 - 8x ; ((o ) = 4000" Use the information below to sketch the graphs of f( x ) =x 7 3 9( ) = x 617 = 6()1/7 The domain of both functions is ( - The critical point of both functions is ( - The graph of f (x ) is concave downward on (L, co ) , concare upward ow ( -00, ( the graph of glx ) is downward on (-cop0) ) 5 Find the number a guaranteed by the Mean Valve Theorem for f(x ) = 23x on [1, 8] . That is, find The humber c, with 12 CL 8 such that F (c ) = f ( 8 ) - f(1 ) 8-1 6 let f(x)= 2x3-3+ 2x- 2 on [-1, 2). Find all numbers C satisfying the mean valve theorem . I 7 let f( x) = x?/3 on [- 8, 27] . Find a value ( such that fi(c)= f(24) -f(8 ) 27-(-8 ) Why does me mean value theorem does not apply in this case? C = U 8 ) Suppose that an object has position function s(t ) = 4t"- at+3 find the average velocity over the interval [3, 63 's find the time at which the instantaneous velocity equals the average velocity . t = L - Consider the function flx)= 2x3-15x2- 36x+7 on the internal [-9, 7 ]. Find the average or mean slope on this interval : ( ( 7 ) - f ( -4) - 7 - (-4 ) By the mean valve theorem , we know there exists at least one C in the open interval ( - 4 , 7 ) such that ' fill ) is equal to this mean slope . Find all values of #C that work 's list Term ( seperated by commas ) in the box below , if there are no values of a that work put None . List of numbers : [ 10 Find the X, obtained by using Newton's Method to estimate the real root of F ( x )= X'- 3x - 5=0 when x 24. * 2= L D Find the x, obtained by using Newtons Method to estimate te real root of P(x ) = 2 - x+sinx = 0 with x = 4. x2 =1 (2) Use newjuris method to approximate a root of the equation 4x + 6ox+ 4 = 0 as Follows . Let * =-2 be the initial approximation . The second approximation x, is L The third is * 2is