Answer:
Step-by-step explanation:
Let the speed in the morning be s, then in the evening it is s - 4
<u>The distance is equal both directions:</u>
- 45 min *s = 1 hr 10 min *(s - 4)
<u>Time in hours:</u>
- 45*1/60*s = (1 + 10*1/60)(s - 4)
- 3/4s = 7/6s - 7/6*4
<u>Multiply all terms by 12 to clear fraction:</u>
- 9s = 14s - 56
- 5s = 56
- s = 56/5
- s= 11.2 mph
<u>The distance is:</u>
- 3/4*11.2 = 0.75*11.2 = 8.4 miles
119 <answer (check the solution in above pic)
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(a)

Substitute <em>x</em> = 3 tan(<em>t</em> ) and d<em>x</em> = 3 sec²(<em>t </em>) d<em>t</em> :


(b) The series

converges by comparison to the convergent <em>p</em>-series,

(c) The series

converges absolutely, since

That is, ∑ (-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ converges absolutely because ∑ |(-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ| = ∑ (<em>n</em> ² + 9)/<em>e</em>ⁿ in turn converges by comparison to a geometric series.
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