Please help me. I do not know what I am doing. I have completed 12 questions in the homework but cannot figure out these 8.

Find the value of the derivative (if it exists} of x) = E3\" 3)\"5 at the indicated extremum. O a-f't3) is undened. 0 \"#6) - g (3)" '5 Q (2. Na) - n O d-r'a) = H)\" O are) = (6)\" The graph offis shown in the figure. Sketch a graph of the derivative off. A heat probe is attached to the heat exchanger ofa heating system. The temperature T(in degrees Celsius) is recorded tseconds after the furnace is started. A mode for the data 1441-1-72: recorded for the first two minutes is given by T' W. Find Iim T. t-)D 3-1513\" b.3|] C- 1441\" (172 (148 i_ 4- x A rectangle is bounded by the x and yaxes and the graph ofJ' = % (see gure]. What length and width should the rectangle have so that its area is a maximum? a.x- 2;y- 2.5 b.x-2;y-l c.x-2.5;y-4 d.x-4;y- 2.5 e.x- l;y-2 The radius ofa spherical balloon is measured to be 10 inches. with a possible error of 0.03 inch. Use differentiais to approximate the maximum possible error in calcu ating the vo ume of the sphere. Round your answer to two decimal places. 61-23170 cubic inches 11- $18.85 cubic inches C- :56. 55 cubic inches (1:154 cubic inches 9- 9.42 cubic inches Find the differential o'y oithe function y = 3,9". sax3'22: b- 3 3.l4 4 x dx (' ix'smdx d- 3xsmd'x e-_1 3r4 4 x d: Complete two iterations of Newton's Method for the function x) ' C053 using the initial guess 1'1 ' 1-4. Round all numerical values in your answer to four decimal places. ' . fix") fir) lllll- Il---_ III In\" \"my ' , 1(qu fix") lllll- um um ' , flit) fix) lllll- Hum ' . fix") fir) lllll- um um