review - d dx sin-1 (5 x ) 3. Evaluate the following...

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Math 241: Review of Essential 140 and 141 Dr. Justin Wyss-Gallifent Directions: Do as many of these as you can. In discussion on Thursday you will review those which you had trouble with. 1. Given the function f ( x ) = ( x - 2)( x - 5), Fnd the equations of two lines: one tangent to f ( x ) and the other perpendicular to f ( x ), both at x = 2. Draw graphs of all three on a single graph. 2. Evaluate the following derivatives: (a) d dx tan(2 x 2 + 1) (b) d dt t 2 e - t (c)
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Unformatted text preview: d dx sin-1 (5 x ) 3. Evaluate the following integrals: (a) i 1-x dx (b) i 1 4-x 2 dx (c) i cos 2 (3 x ) dx (d) i 3 xe-2 x dx 4. Plot the curves with the following parametrizations: (a) x = 3 t + 1 and y = 1-t for 0 t 3. (b) x = 2 cos t and y = 3 sin t for 0 t . 5. Plot the following polar graphs: (a) r = cos (b) r = 3 (c) r = 2 sec . Hint: r cos = x ....
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