quiz2sol - Math 112 Spring 2008 ' Quiz 2 (April 17, 2008)...

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Unformatted text preview: Math 112 Spring 2008 ' Quiz 2 (April 17, 2008) Name: You must show all work clearly to receive any points for a problem. Circle your final answers. You have 15 minutes. No notes or calculators are allowed. Express all answers in simplest form. 1. (24 points) In the following exercise, state the amplitude, period, and phase shift of the function. ' h(t) = —SCos(7t — 75/9) amflude '. \eSl @ , 2 x @6903 r g gfi/q qr kaC-l’ : w,” : "" {Maw <9 .7 Q$ 2. (24 points) Evaluate each of the follo 'ng. ' I V f «2 " o sec(—TC/6) : (2.80%) ’ CE) o csc(—7:/6) :: . cot(—7t/6) k9 : icogfi'lT/é), Si/VC'TF/G) : u l in 3. (28 points) In the following exercise, suppose there is a weight hanging from a spring (under conditions in which the spring has perfect elasticity and friction, air resistance, etc., are negligible). The weight is given a push to start it moving. At any time I, let h(t) be the height (or depth) of the weight above (or below) its equilibrium point. Assume that the maximum distance the weight moves in either direction from the equilibrium point is 9 centimeters and that it moves through a complete cycle every 2 seconds. Express 110‘) in terms of the sine or cosine function under the stated conditions. Weight is pulled 9 centimeters below equilibrium, and the initial movement is upward. 2:35 5? b‘fl" 4. (24 points) In the following exercise, evaluate each of the following trigonometric functions at t, if the point (—3,7) lies on the terminal side of an angle of t radians in standard position. (If one of the functions is undefined, write “undefined”.) o ec(t) S F: 3 (331+? H o csc(t) o cot(t) 3 q + qq F I...— sectt) 1’ “x H CSCUL) [9 ’f U , l ...
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quiz2sol - Math 112 Spring 2008 ' Quiz 2 (April 17, 2008)...

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