1) Find an equation to the line tangent to y - (x - 3)~ at x = 0. 2) Suppose the graph of / (x) and the graph of its derivative / '(x) are shown below. Find an equation to the line tangent to y = / (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. 4) Find an equation to the line tangent to y = 5 + (x - 2) at the coordinate (2. 5). 5) Find an equation to the line tangent toy = (x 1 3) at x - -3 MacBook Air6) Suppose f (x) Is a differentiable function such that /(1) = 7 and /'(1) - 2. Use a tangent line approximation to estimate / (0.8). 7) Use a tangent line approximation with the function g(x) = vx to estimate : 8) The table below gives specific values for a differentiable function h(1). Use this information to write an equation for the tangent line to the graph of h(b) at t - 9. O 86 !) The table below gives specific values for a differentiable function p(x). Perform a tangent line approximation to estimate the y-intercept in the graph of y - p(x). Show the calculations that lead to you answer. P(x) 04 0.5 1.8 10) At t- 56 seconds, an object moving along a straight path is 47 meters from its ongin. If the velocity at that time is v(55) - -3 meters per second, use a tangent line approximation to predict the object's position at one minute (f - 60 seconds)