A fence 20 feet tall runs parallel to a tall building at a distance of 5 ft from the building as shown in the diagram. LADDER 20 ft 5 ft We wish to find the length of the shortest ladder that will reach from the ground over the fence to the wal the building. [A] First, find a formula for the length of the ladder in terms of 0. (Hint: split the ladder into 2 parts.) Type theta for 0. L(8) = [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) = [C] Once you find the value of 0 that makes L'(0) = 0, substitute that into your original function to find the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) L(0min ) - feet

the ones w the pink dot, make sure to show work

Q.1 a. Show that : sec(180+0).sec(270-0).cot(360+0)-1+cof0 b. Determine if the following function is even, odd or neither even nor odd y = f(x) = c. Graph and find the domain and range for y=sin'(x)- 3

Suppose that a fire truck is parked in front of a building as shown in the figure. The beacon light on top of the fire truck is located 17 feet from the wall and has a light on each side. If the beacon light rotates 1 revolution every 2 seconds, then a model for determining the distance d, in feet, that the beacon of light is from point A on the wall after t seconds is given by d(t) = 17 tan (xt). Complete parts (a) through (e) below. Explain what this means in terms of the beam of light on the wall. Choose the correct answer below. O A. When the function is undefined, the light is shining on every point on the wall. O B. When the function is undefined, the light is not shining completely on the wall. OC. When the function is undefined, there is no light shining on the wall. D. When the function is undefined, the beam of light is shining on exactly one point on the wall. (c) Fill in the following table. (d) Compute differences. 0 d(0.1)-d(0) 0.1-0 0.1 = t d(t) = 17 tan (xt)| (Type…