Sketch a possible graph for a function f that has the stated properties.The domain of f is [0, 5] and the derivative is 2 at x = 2 and x = 4. 
What will be an ideal response?
Answers will vary.
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Solve the problem.Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he select 5 of the books to buy? How many ways can he make his selection if he decides that one of the books is a must?
A. 126; 70 B. 3024; 1680 C. 15,120; 1680 D. 7560; 840
Verify the identity.cos(? - ?) - cos(? + ?) = 2 sin ? sin ?
What will be an ideal response?
Solve the problem.The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 32 feet and the height of the arch over the center of the roadway is 11 feet. Two trucks plan to use this road. They are both 8 feet wide. Truck 1 has an overall height of 
and Truck 2 has an overall height of 
. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.
A. Truck 1 can pass under the bridge, but Truck 2 cannot. B. Truck 2 can pass under the bridge, but Truck 1 cannot. C. Both Truck 1 and Truck 2 can pass under the bridge. D. Neither Truck 1 nor Truck 2 can pass under the bridge.
Solve the problem.The earth, Jupiter, Saturn, and Neptune all revolve around the sun. The earth takes 1 year, Jupiter approximately 12 years, Saturn approximately 30 years, and Neptune approximately 165 years to make a complete revolution. How often will Jupiter and Neptune appear in the same direction in the night sky as seen from earth?[Hint: Find the LCM of 12 and 165]
A. Every 330 years B. Every 1980 years C. Every 660 years D. Every 1320 years