Please help with the problems below

Q1

Two poles are connected by a wire that is also connected to the ground between the poles. The first pole is 5 feet tall and the second pole is 6 feet tall. There is a distance of 5 feet between the two poles. How far from the rst pole should the wire be anchored to the ground to minimize the amount ofwi re needed? (You may enter an exact answer or round to the nearest hundredth of a foot.) Provide your answer below: Dmntherstpole If 2 2 = 23 + y2, da dy _ 2, and z > 0, find dz = 3, at (x, y) = (1, 0). dt dt dt Please give an exact answer. Provide your answer below: dz di9 Use the second derivative test to find the location of all local extrema in the interval 4 4 for the function given below. 2er f(x) 4x - 1 If there is more than one local maxima or local minima, write each value of a separated by a comma. If a local maxima or local minima does not occur on the function, enter O in the appropriate box. Enter answer using exact value. Provide your answer below: The local maxima occur at x = The local minima occur at x =Use an appropriate linear approximation to estimate cos(v0.5). (Round your answer to three decimal places.) Provide your answer below: (:03 (60.31") m \\:|