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Chapter 2 In-Class Test Review

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Presentation on theme: "Chapter 2 In-Class Test Review"— Presentation transcript:

1 Chapter 2 In-Class Test Review

2 Let and find h’(5)

3 2) Find an equation of the tangent line to the graph of the function
at the point where x = -5

4 3. Find the derivative of 4. If find

5 5. Find dy/dx for

6 6. Determine the slope of the graph

7 7. A conical tank with vertex down is 16 feet across the top and 24 feet deep. Water is flowing into the tank at a rate of 9 cubic feet per minute, find the rate of change of the depth of the water when the water is 14 feet deep

8 8. A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and car B is driving east along the second road. At a particular time car A is 10 kilometers to the north of P and traveling at 80 km/hr, while car B is 15 kilometers to the east of P and traveling at 100 km/hr. How fast is the distance between the two cars changing? A P B

9 A kite is flying 150 m high, where the wind causes it to move horizontally at a rate of 5 m per second. In order to maintain the kite at this height, the person must allow more string to be let out. At what rate is the string being let out when the length of the string is already out 250m? At what rate is the angle of elevation changing when the string is out 250 m?

10 A 6 foot tall man walks away from an 18 foot lamp post at a rate of 5 ft/sec.
Find the rate at which his shadow is changing. Find the rate at which the tip of his shadow is lengthening.

11 12) If find If

12 Homework Page 158 # 1, 2, 5, 6, 7 ,9-12 all, odd, odd, 73, 93, 103, 104, and 107


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