8) Find the exact answers to following questions. DO NOT give decimal approximations a) Find x so the distance between (-6, -2) and (x, -10) is 10. b) Find the point where the tangent line to y = x at x = 0.6 crosses the x-axis. c) Find the slope of the tangent line to the curve y = 4 sin x at the point (#, 2) d) The equation of the tangent line can be written in the form y = mx + b by using the slope found in part (c). Find b in the above tangent line. 9) Find the following limits. a) lim 1x-21 X--2 x-2 b) lim (3+ x-1 x-1+ c) lim- |x-21 X-2 x-2 10) Given that f(x) = xsh(x), g(x) = , h(-1) = 2 and h'(-1) = 5. a) Calculate f'(-1) b) Calculate g'(-1) 11) Find the following limits by using the graph given below. Give the exact answers. DO NOT give decimal approximations. a lim _(x)-5 y = f(x) x-0- f(x+1) 5 b) lim f(f(x) +5) x-2 C) lim [(2+h)-f(2) h-0 h