1. g(x) = {2e^x-1 _{+4, x<1}

_{8x+k, x>=1}

_{determine the value of K that makes the following piecewise defined function continuous on all of R}

2._. Graph the equation given by x ^2+ y^ 2 = 100 and plot the coordinate (-6,8). Find the slope of the line tangent to the curve at this point. Verify that you get the same result using implicit differentiation.