Show all steps and calculations

function 1) FIND the equation of the Normal line to the f (x ) = 3 x ( ex- +sx +6) at the point x = 0 Note: Remember that the normal line is perpendicular to the tangent line . what is true about the slopes of perpendicular lines ? 2 ) Evaluate the derivative, F'll ), for the following functions a ) fix) = sec " ( 3 x 2 ) by f(c ) = 2tan-x ( Note that this is 2 to the power of tan 'x ) 3 ) suppose that fle ) = 2 aND f'le ) = TT. Evaluate (F-1 ) 12) rag 4 ) The Witch of Agresi is a famous algebraic curve, whose equation can be given by ( x2 + 402 ) y = 893 where a is a constant. use implicit differentiation to find dy 5 ) CONsider the function F(x ) = 3 VI a) FIND the linear approximation /Loc) to y = f(x) near x = 27 b) use your linear approximation from past a to approximate the value of 3127.01 to three decimal places