Question 1 1 pts Suppose we were asked the question: "What is the smallest perimeter a rectangle can have if the area of the rectangle is 10 cm??" Let x denote one of the side lengths of the rectangle. Which function should we be minimizing? Of (x) = x+ X Of(x) = 10x2 O f ( x ) = 10 Of ( x ) = 2x+ 20 XQuestion 2 1 pts Suppose we were asked the question: 'A rectangle is to be inscribed in a circle of radius 5 cm. What is the width of the largest (i.e largest in area) such rectangle?" Now, say we let A(w) denote the area of the inscribed rectangle with width w. Which domain should we be considering for this function? O [0 , 5] O [0, 10] O [-10, 10] O [0, 00) O [-5,5]Question 3 1 pts Suppose we were asked the question: r'A rectangle is to be inscribed in a circle of radius 5cm. 1li'ql'hat is the width of the largest [biggest area] such rectangle?\" Let A(w} denote the corresponding area function in terms of the width of the rectangle. At which type of point will the answer occur? 0 At an endpoint of the domain interval. 0 Ata point to where A'[w} does not exist C) At a point to where A'{w}=. C) At a point to where A(w}=l]. C) Not enough information is given. Question 4 1 pts In an optimization problem, how many variables should eventually occur in the function we are trying to optimize (maximize or minimize)? O Does not matter. O One. O Two. O It depends on the problem. O As many as possible