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1.2.2 Compute the0:07:27

1.2.2 Compute the lengths ∥u∥ and ∥v∥ and ∥w∥ of those vectors. Check the Schwarz inequalities...

11.2.56 7.(12345) ̅.0:07:16

11.2.56 7.(12345) ̅. Express the number as a ratio of integers.

11.2.54 10.1(35) ̅=0:06:43

11.2.54 10.1(35) ̅= 10.135353535… Express the number as a ratio of integers.

11.2.55 1.53(42) ̅=0:05:53

11.2.55 1.53(42) ̅= 1.5342424242… Express the number as a ratio of integers.

11.2.53 2.(516) ̅=2.516516516…0:08:41

11.2.53 2.(516) ̅=2.516516516… Express the number as a ratio of integers.

11.2.52 0.(46) ̅=0.46464646…Express0:08:42

11.2.52 0.(46) ̅=0.46464646…Express the number as a ratio of integers.

11.2.51 0.8 ̅=0.8888…Express0:05:21

11.2.51 0.8 ̅=0.8888…Express the number as a ratio of integers.

6.4.12 If 6J0:15:56

6.4.12 If 6J of work is needed to stretch a spring from 10cm to 12cm and another 10J is needed to...

11.2.50 A sequence0:02:46

11.2.50 A sequence of terms is defined by a1 = 1, an = (5-n)a(n-1). Calculate ∑an

11.2.49 Let x=0.99999…0:06:55

11.2.49 Let x=0.99999… a) Do you think that x≤1 or x=1? b) Sum a geometric series to find the value

11.2.48 ∑1/(n^3-n) Determine0:16:54

11.2.48 ∑1/(n^3-n) Determine whether the series is convergent by expressing sn as a telescoping sum

6.4.11 A spring0:05:15

6.4.11 A spring has natural length 20cm. Compare the work W1 done in stretching the spring from 20cm

11.2.47 ∑e^(1/n)-e^(1/(n+1)) Determine0:04:47

11.2.47 ∑e^(1/n)-e^(1/(n+1)) Determine whether the series is convergent by expressing sn as a ...

11.2.46 ∑(cos⁡1/n^2 -cos⁡1/((n+1)^20:04:24

11.2.46 ∑(cos⁡1/n^2 -cos⁡1/((n+1)^2 )) Determine whether the series is convergent by expressing sn..

11.2.45 ∑3/(n(n+3)) Determine0:09:39

11.2.45 ∑3/(n(n+3)) Determine whether the series is convergent by expressing sn as a telescoping sum

6.4.10 If the0:05:32

6.4.10 If the work required to stretch a spring 1 ft beyond its natural length is 12 ft-lb, how much

11.2.43 ∑2/(n^2-1) Determine0:07:55

11.2.43 ∑2/(n^2-1) Determine whether the series is convergent by expressing sn as a telescoping sum

11.2.44 ∑ln(⁡n/(n+1)) Determine0:03:13

11.2.44 ∑ln(⁡n/(n+1)) Determine whether the series is convergent by expressing sn as a telescoping..

11.2.42 ∑e^n/n^2 Determine0:02:23

11.2.42 ∑e^n/n^2 Determine whether the geometric series is convergent or divergent. If it is...

6.4.9 Suppose that0:08:54

6.4.9 Suppose that 2J of work is needed to stretch a spring from its natural length of 30cm to a...

11.2.40 ∑(3/5^n +2/n)0:02:24

11.2.40 ∑(3/5^n +2/n) Determine whether the geometric series is convergent or divergent. If it is...

11.2.41 ∑(1/e^n +1/(n(n+1)))0:08:37

11.2.41 ∑(1/e^n +1/(n(n+1))) Determine whether the geometric series is convergent or divergent...

6.4.8 A spring0:04:47

6.4.8 A spring has a natural length of 20cm. If a 25-N force is required to keep it stretched to...

11.2.39 ∑arctan(n) Determine0:02:26

11.2.39 ∑arctan(n) Determine whether the geometric series is convergent or divergent. If it is...