1 to 10, please explain

MAC 1140 Lab Work 3 Name_ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A projectile is thrown upward so that its distance above the ground after t seconds is 1) h =-12t2 + 360t. After how many seconds does it reach its maximum height? A) 15 sec B) 30 sec C) 7 sec D) 22.5 sec 2) Alan is building a garden shaped like a rectangle with a semicircle attached to one short side along 2) its diameter. The diameter of the semicircle is equal to the width of the short side of the rectangle. If he has 20 feet of fencing to go around the garden, what dimensions will give him the maximum area in the garden? A) width =- 40 T + 8 = 3.6, length = 5.4 B) width = - 20 7 + 4 = 2.8, length = 5.6 C) width = = 40 40 71 + 4" = 5.6, length = 2.8 D) width = = 7 + 4 = 5.6, length = 7.2 3) Let P = (x, y) be a point on the graph of y = vx. Express the distance d from P to the point (1, 0) as 3) a function of x. A) d(x) =x2 - x+1 B) d(x) =x2 + 2x + 2 C) d(x) = Vx2 + 2x + 2 D) d(x) = Vx2 _ x+1 4) From a 42-inch by 42-inch piece of metal, squares are cut out of the four corners so that the sides 4) can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x. A) V(x) = 2x3 - 126x2 + 42x B) V(x) = 4x3 - 168x2 + 1764x C) V(x) = 2x3 - 126x2 D) V(x) =4x3 - 168x2 5) A rectangle that is x feet wide is inscribed in a circle of radius 34 feet. Express the area of the 5) rectangle as a function of x. A) A(x) = x\\/4624 - x2 B) A(x) = x(4624 -x2) C) A(x) = x 3468 - x D) A(x) =x2\\2312 - x2 6) A wire of length 3x is bent into the shape of a square. Express the area A of the square as a function 6 of x. A) A(x) = -x2 B) A(x) = 2x2 C) A(x) =x2 D) A(x) =>x2 7) A projectile is thrown upward so that its distance above the ground after t seconds is 7) h =-15t2 + 480t. After how many seconds does it reach its maximum height? A) 24 sec B) 8 sec C) 32 sec D) 16 sec 8) The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in 8) inches: M(x) = 4x - x2. What rainfall produces the maximum number of mosquitoes? A) 4 in. B) O in. C) 2 in. D) 16 in.9) The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse 9) is 2 units long. Express the area A of the rectangle in terms of x. B P(x, ? ) -1 A) A(x) = 2x2 B) A(x) = 2x(1 - x) C) A(x) = x(1 - x) D) A(x) = 2x(x - 1) 10) Alan is building a garden shaped like a rectangle with a semicircle attached to one short side along 10) its diameter. The diameter of the semicircle is equal to the width of the short side of the rectangle. If he has 90 feet of fencing to go around the garden, what dimensions will give him the maximum area in the garden A) width = = 180 180 7 + 4 = 25.2, length = 32.4 B) width = = 71 + 4 # 25.2, length = 12.6 () width = = 90 7 + 4 = 12.6, length = 25.2 D) width = 180 7 +8 - # 16.2, length = 24.2