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Welcome to... A Game of X’s and O’s

Scoreboard X O Click Here if X Wins Click Here if O Wins

For each of the following displacement functions, calculate the velocity and acceleration at the indicated times. 1

Answer for Square 1 Home 1

2 The position function of an object moving horizontally along a straight line as a function of time is in metres, at time t, in seconds. a.Determine the velocity and acceleration functions for the object. b.Determine the position of the object when the velocity is 0. c.Determine the speed of the object when the position is 0. d.When does the object move to the left?

Home 2 2

3 Determine the maximum & minimum values of the function on the given interval.

Answer for Square 3 3 3

4 An open-topped box is to be made from a square of cardboard, that is 2 m long, by cutting out equal squares from each corner and folding up the flaps to make sides. What is the greatest volume possible for the box, and what are its dimensions?

4

5 Determine the area of the largest rectangle that can be inscribed inside a semicircle with radius of 8m. Place the length of the rectangle along the diameter.

5 5

6 A piece of paper 40 cm by 20 cm is going to be folded into a rectangular box with an open top by cutting out congruent squares from each corner. a. Determine the dimensions that will give the box with the largest volume. b. What is the largest volume the box can have?

Answer for Square 6 6

7 At noon a car is driving west at 55 km/h. At the same time, 15 km due north another car is driving south at 85 km/h. At what time are the two cars closest, and what is the distance between them? >=

Home km away, 7 minutes and 28 seconds after noon

8 A company is afraid they are spending too much on the production of some small cans they use. The current cans hold 80 ml. If the bottom of the can costs $0.002 per cm 2, the top costs $0.01 per cm 2 and the side of the can costs $ per cm 2, how much is the cheapest can that holds the required amount?

8 $0.17 (See unit#4 Lesson #4, example #4 for a similar example)

9 A piece of wire 80 cm long is cut into two pieces. One piece is bent to form a square, and the other is bent to form a circle. Determine how the wire should be cut so the total area enclosed is a maximum.

Answer for Square 9 Home 9. Because, then is not even. Because, then is not odd. Therefore is neither. c). Therefore, is even. d). Therefore, is even. 9. when the length of The circumference is 80 cm and the length of the perimeter of the 0cm