I. Read and analyze each item. Encircle the letter of the best answer. (10 items x 3 points) A window is being built and the bottom part is rectangular, while the top part is semicircular. There is 12 feet of framing materials and the width of the window should be no less than 1 foot and no greater than 6 feet. - 2r 1. If H is the height of the rectangular part of the window, and + is the radius of the semicircular part, which of the following equations states that there is 12 feet of framing materials? . 12 = 28 + 2x + ITY C. 12 = THY B. 12 = H + r D. 12 = Var2 + Hz 2. Which of the following expresses H in terms of r? A. H = 12 -r C. H = V144 - 1p2 12 B. H= D. H = 6 -x-Ir 3. If A, () is the function that gives the corresponding area of the bottom part of the window, given a specific value for r, which of the following represents A, (r)? A. A() = 24x - 2p2 C. A () = 2rv144 - my2 B. A1 (r) = 24 D. A. (r) = 12x - 2x] - ny? 4. If A,() is the function that gives the corresponding area of the top part of the window, given a specific value for , which of the following represents A,(r)? A. A (r) = my] C. A()= B. Az(r) = 2mr D. Az (r) = mr 5. If A (r) is the function that gives the area of the whole window, given a specific value for r, which of the following represents A(r)? A. A(r) = 12x - 2,-2 _ Tri C. A(r) = 172 + 24 B. A(r) = 24r + my - 2x2 D. A(r) = 2/V144 - mri + 2mr 6. What is A'(r)? A. A'(r) = 2V144 - myi _ _2mri V144-mri C. A'(r) = 24 + n - 4r B. A'(+) = 12 - 4x - MY D. A'(r) = 2mr 7. What is/are the critical values of A(r)?A. 1 C 12 B. 3 and 24 2+m D. Nothing 8. What is A" (r)? A. A"()= -- V144-mrs C. A" (r) = -4 B. A"() = -4-1 D. A" () = 0 9. What should be the radius of the semi-circular part of the window so that maximum area can be attained? A. 1 C. 24 B. 3 D. 12 10. What should be the radius of the semi-circular part of the window so that minimum area can be attained? A. 1 C. 24 B. 3 D