Key test 2 f'09

Key test 2 f'09 - 110 points Math 111 Pledged, __...

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Unformatted text preview: 110 points Math 111 Pledged, __ +-I-=-_--Y"-- _ Test 2 fall 2009 1. Evaluate the following limits: (3 points each, 18 points) e) lim x+4 x~-3+ x 2 + 2x - 3 " J 'I- o 2. A stone dropped into a pond causes a series of concentric ripples in the form of circles. If the radius of the outer ripple increases steadily at the rate of 6 ft/sec, find the rate at which the area of the disturbed water is increasing when the radius is 8 feet. (12 points) f!:!. = ~W cJ:;t () 7~C f1 ~ \,\'\' ~ riA:: ~\~ cbt ef;t 11: '" ;:nr l g) a) '" [ Cf f., 'iI f/ .u e. J 3. A 3 foot child runs away from a street light that is 13 feet high. How fast is the far end of his shadow moving given that the child is running at the rate of 2 feet per second. (12 points) ...... 1 \3 :::. 2- x+~ ~ J:3lj ~ 3x +3~ IO~ ==- 3 X -') JOJ1 '" 3i/f $I:;: 3 c~) ~-f. cht /0 /0 4. Determine if the Mean Value Theorem applies or does not apply to the following. If it applies, state clearly how it applies and find the "e" guaranteed by the theorem. If it does not apply, then clearly clearly how it applies and find the "e" guaranteed by the theorem....
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Key test 2 f'09 - 110 points Math 111 Pledged, __...

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