please use the requested solving method for some of the questions and show your work!

thank you.

Find the absolute extrema of the function on the closed interval. _ E: ' > (E) minimum (x, y) maximum (x, y) 1. Find the limit. (If an answer does not exist, enter DNE.) 2 2 _ Iim X lim M X-' 1 3x2 . b X-'4 (x2 - 16) 2. Use the rules of differentiation to find the derivative of the function. sin(9) 5 h(x) = 4'/ + 92/} 9) = 6 cos(9) 3. Find the slope of the graph of the function at the given point. 1'00 = \\/ 1 _ x3, (-2. 3) A point moves along the curve y = vx in such a way that the y-component of the position of the point is increasing at a rate of 3 units per second. At what rate is the x-component changing for each of the following values? (a) X= 3 (b) x = 1 (c) X= 9 dx dx = dx = dt dt dt