MA 167 Group Assignment 8

# MA 167 Group Assignment 8 - V 2 3 1 π = where r is the...

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MA 167 – Group Work - 8 Group Name _________________________ Members ________________________ ________________________ ________________________ ________________________ Assignment due Friday 11/6/09 Derivatives 1. Let ) sin( 4 ) ( t t f π = . Calculate each derivative and put it into standard sinusoidal form. You will need to use the identity ) 2 sin( ) cos( θ + = a. = ) ( t f b. = ) ( t f c. = ) ( t f d. = ) ( ) 4 ( t f e. Below are the graphs of ) ( t f and the first three derivatives; identify each curve. f. True or False: The derivative of a sinusoidal function is a sinusoidal function.

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Differentials 2. Sand is being dumped from a conveyor belt at a rate of 2 min m / 3 and forms a right circular cone. Assume the radius of the cone is always three times as large as the height of the cone. (Recall, the volume of a right circular cone is h r
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Unformatted text preview: V 2 3 1 π = , where r is the radius of the circular base and h is the height of the cone.) Find the rate at which the height of the cone is increasing when the height is 9 m . Related Rates 3. A baseball diamond is a square 90 ft. on a side. A player runs from first base to second base at 16 ft/sec. At what rate is the player’s distance from third base decreasing when the player is 20 ft. from first base? Extreme Values of Functions Textbook problems: Section 4.1 (pages 274 - 275) # 72, 75, 76, 77 Mean Value Theorem Textbook problems: Section 4.2 (page 284) #45, 48 Curve Sketching Textbook problems: Section 4.4 (pages 299 – 301) #63 – 67 Optimization Textbook problems: Section 4.5 (pages 310 – 311) #17, 24...
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## This note was uploaded on 11/12/2009 for the course MA 167 taught by Professor Aaron during the Spring '09 term at Purdue North Central.

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MA 167 Group Assignment 8 - V 2 3 1 π = where r is the...

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