1) Find an equation to the line tangent to y = (x 3)2 at x = 0. 2) Suppose the graph of f (x) and the graph of its derivative f '(x) are shown below. Find an equation to the line tangent to y = f (x) at x = 1. 3()Suppose g (x) IS a differentiable function such that g(4 =0 and g (4)= 3. Find an equation to the line tangent to y= g(x) )at x -4. )Find an equation to the line tangent to y= 5 + |x 2| at the coordinate (2 5). 1 5) Find an equation to the line tangent to y = (x + 3)3 at x = 3. 6) Suppose f(x) is a differentiable function such that f(1) = 7 and f'(1) = 2. Use a tangent line approximation to estimate f(0.8). 7) Use a tangent line approximation with the function g(x) : J; to estimate \\/9.2 . 8) The table below gives specific values for a differentiable function h(t). Use this information to write an equation for the tangentn line to the graph of ha) at t 9. 7-5n =4 2-0 h-( ) 9)The table below gives specific values for a differentiable function p(x )P.erform a tangent line approximation to estimate the y intercept in the graph of y= p(x ).Show the calculations that lead to your 10) At t- 55 seconds, an object moving along a straight path is 47 meters from its origin. If the velocity at that time is v(55)- 3 meters per second, use a tangent line approximation to predict the object' 3 position at one minute (t = 60 seconds)