Possible Answer:
Millimeter.
Step-by-step explanation:
Judging by the item in the question, a straw, millimeter is probably the correct measurement of the width of it.
Answer:
Step-by-step explanation:
a) ![\int\limits^{\infty} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B%5Cinfty%7D%20_1%20%7B%5Cfrac%7B1%7D%7Bn%5E4%7D%20%7D%20%5C%2C%20dn%5C%5C%20%3D%5Cfrac%7Bn%5E%7B-3%7D%20%7D%7B-3%7D)
Substitute limits to get
= ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Thus converges.
b) 10th partial sum =
![\int\limits^{10} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B10%7D%20_1%20%7B%5Cfrac%7B1%7D%7Bn%5E4%7D%20%7D%20%5C%2C%20dn%5C%5C%20%3D%5Cfrac%7Bn%5E%7B-3%7D%20%7D%7B-3%7D)
=![\frac{-1}{3} (0.001-1)\\= 0.333](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B3%7D%20%280.001-1%29%5C%5C%3D%200.333)
c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)
where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .
(question is not clear)
Answer:
16Km due east of school P
Step-by-step explanation:
Given
A school P is 16km due west of a school Q
Thus, we can say that distance PQ = 16 km.
________________________________
now we have to find the bearing of Q from P
As distance is same
distance PQ = distance QP
Thus,
Distance will remain same of 16 km.
For direction,
If Q is west of P, then P will be east of Q![P------------------>Q](https://tex.z-dn.net/?f=P------------------%3EQ)
as shown in figure P is west of Q,
now from point P , Q is west P.
Thus,
Bearing of School Q from P is 16Km due east of school P
41 guests / 8 plates = 5.125 packs
Since you cant buy .125 of a pack, Mary jane has to purchase 6 packs.