test1help

test1help - will only earn you partial credit. 7. The...

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-. MA141-002 Spring 2009 Practice Problems for Test#l; Instructor: Dr. Fredrick Semazzi 1. For each of the following functions (a) through (d) state whether or not the inverse exists. If it does, give the equation of the inverse function. If it does not exist give the reason. (a) (b) X /GO 1 e 1 2 e 2 3 e 3 4 e 4 5 e 5 6 e 6 7 e 5 8 e 8 X /(*) 1 7 3 5 5 3 7 1 8 0 6 2 4 4 2 6 (c) y = e 3 , where e is the natural number. (d) >> = V4 - x 2 ;-0.5 <*< 0.75. 2. Evaluate the following limits. Show your work to get full credit. lim x 2 -9 lim l- jc. (a)-H* 2 + 2x-3J(b) 3. Find the equation for the inverse of y = (l + e * )/(l - e x ), 4. Sketch the following curve: x-2 + t;y = 4 + 3t. Label the intercepts clearly. 5. Apply the squeeze theorem to determine 1™ \ x " cos (2 / x )} For full credit show all the steps leading to your answer. 6- Use the intermediate value theorem to determine whether or not there is a root of 2x 3 + x 2 + 2 = 0 in the interval (0,-1). Show all your work. Simply stating yes or no
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Unformatted text preview: will only earn you partial credit. 7. The equation 6x 2 + 6y 2 + 36y + 30 = represents a circle. Find the radius and the coordinates of the center of the circle. 8. Determine lim x + 2 Vl6x 2 +1 9. Use limits and the formula for the average velocity over an interval of time to determine the instantaneous speed at 10 seconds. The relationship between distance in meters (s) and time in seconds (t) is given t_| oov(-^ j &gt;1&gt;o T? \*fi\ '*W$ ^ol, U-SL 1-ue* ( &gt;-f-u) ^(W-T x y i t^Mv ^^ V^&gt;c-o4 x? wAre-i $c*T#y$.j-i yV Crt(Zyk).&lt; 4-J J-I pV\A z^ WA- 0 /.-&gt;-Q-4 U a r 75 o = 1 ? , Tl I ~ g V\ / I . (J &lt;f-* &quot;M , 50) (oi)5 Q 5&quot;-A ^ S Oj...
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test1help - will only earn you partial credit. 7. The...

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