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Chapter 3 review

# Chapter 3 review - Chapter 3 review 1 a c Use the...

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Chapter 3 review 1. Use the definition of derivative to find f’(x) for each of the following: (Section 3.1) a. b. c. 2. Find for each of the following: (Sections 3.2 – 3.6) a) b) c) d) e) f) g) h) i) j) k) l) m) sinx=x(1+tany) n) o) p) q) 3. For each of the following, find an equation of the tangent line to the graph of f at the given point. a. (0, ¼) b. (4, 1/16) Related Rates (Section 3.7) 4. The edges of a cube are expanding at a rate of 5 centimeters per second. How fast is the surface area of the cube changing when each edge is 4.5 centimeters? 5. A baseball diamond has the shape of a square with sides 90 feet long. A player is running from first second at a speed of 28 feet per second. Find the rate at which the distance from home plate is changing when the player is 30 feet from second base. 6. A person flying a kite holds the string 5 feet above ground level, and the string is payed out at a rate of 2 ft / sec as the kite moves horizontally at an altitude of 105 feet (see figure).

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Chapter 3 review - Chapter 3 review 1 a c Use the...

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